Find the inverse of the function f(x) = 2x - 4

Answers

Answer 1

The correct answer is f^-1(x)=1/2x+2.

1. Substitute y for f(x). ( y=2x+4 )

2. Interchange the variables x and y. ( x=2y-4 )

3. Swap the sides. ( 2y-4=x )

4. Move the constant to the right. ( 2y=x+4 )

5. Divide both sides by 2. ( y=1/2x+2 )

6. Use substitution to substitute f^-1(x) for y.

Thus the inverse is f^-1(x)=1/2x+2


Related Questions

apples costs $1.98 per pound, how much does 1.5 pounds of apples cost

Answers

Answer:

$2.97

Step-by-step explanation:

Answer:

0.75 apples about 3/4 ig

Step-by-step explanation:

it's just u will divide 1.5 to 1.98 to get how many apples

(03.01 LC)

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (1 point)

Question 1 options:

1) The square root of 5
2) The square root of 7
3) 5
4) 7
Question 2 (1 point)
Saved
(03.01 LC)

What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units? (1 point)

Question 2 options:

1) Square root of 14

2) 7

3) The square root of 98

4) 49

Answers

Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

Answer:

√7 units, √98 units

Step-by-step explanation:

r minus the sum of 4 and p equals

Answers

Answer:

r - (4 + p)

Step-by-step explanation:

{that's how you write it if that's what you are asking}

What is the ratio of blue paint to red paint in the mixture?

Answers

Answer: I think the answer is 5:2 Hope This Helps

It's 5:3

Hoped I helped!

Have a wonderful day-

Bye!

1. Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
A
B
OC

Answers

Answer:

Laura will have exactly $72.00 after purchasing the bicycle.

Step-by-step explanation:

We are given that Laura ends $115 per month of babysitting.

We also learn that she wants to save her money from June and July, which means she wants to save her money over a period of two months.

Therefore, she will earn $115 twice.

[tex]\displaystyle{\$115 \times 2 = \$230}[/tex]

Then, she wants to purchase a bicycle that costs $158, so we need to subtract the cost of the bicycle from her total earnings.

[tex]\$230 - \$158 = \$72[/tex]

Therefore, Laura will have exactly $72.00 remaining after her purchase.

THIS IS TIMED!

Thanks:)

Answers

Here see the attachment....:)

What is x+4=10 answer fast

Answers

Answer:

x=6

Step-by-step explanation:

10-4=6

A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.

Answers

Answer:

Length = 8 inches

Width = 15 inches

Step-by-step explanation:

A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.

Let:

a = length of painting

b = width of painting

Area of painting = 120 = ab

Pythagorean Theorem says

a² + b² = Diagonal²

a² + b²= 17²

[120 =ab means b= 120/a]

a² + (120/a)² = 17²

Multiply through by a²

a⁴ + 14400 = 289

z² + 14400 = 289z [for now, substitute z for a²]

z² - 289z + 14400 = 0

z² - 64z - 225z + 14400 = 0

z(z - 64) -225(z - 64) = 0

(z - 64)(z - 225) = 0

z - 64 = 0

z = 64

z - 225 = 0

z = 225

Note that:

z for a²

Hence:

a² = 64

a = √64

a = 8 inches

The same applies for b

b² = 225

b = √225

b = 15 inches

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

Simultaneous equations
y=x+2
y=x^2

Answers

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

5/6+4(3/4g-6) in standard form

Answers

Answer:

3g- 139/6

Step-by-step explanation:

6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form

Triangle

ABC: Which transformation can be used to map each point (.y) on Triangle ABC

to its corresponding point on Triangle A B C?

A

G.y) - (y + 3, x)

B

6. y) - (x+3)

(x, y) - (y+3.x)

D. (.y)-( y. x+3)

C

Answers

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

[tex](x,y)\to (-y,x)[/tex]

[tex]P(x,y)\to P_1(-y,x)[/tex]

If a figure translated 3 units up, then

[tex](x,y)\to (x,y+3)[/tex]

[tex]P_1(-y,x)\to P'(-y,x+3)[/tex]

If  triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

[tex](x,y)\to (-y,x+3)[/tex]

Therefore, the required rule of transformation is [tex](x,y)\to (-y,x+3)[/tex].

Note: Option are not in proper form.

All the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Case 2: If the point is in second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Case 3: If the point is in third quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Case 4: If the point is in fourth quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Case 5: For points on axes

You can take that point in any of the two surrounding quadrants. Example, if the point is on positive  x axis, then it can taken as of first quadrant or fourth quadrant.

Case 6: On origin

No effect as we assumed rotation is being with respect to origin.

Since no quadrant is specified, we assume triangle is fully in first quadrant. That means all points (x,y) will turn (-x,y) after counter clockwise rotation.

Now translation of 3 units up means all y coordinates will be increased by 3, thus, all (x,y) points of triangle first become (-x,y) then (-x, y+3).

Thus, all the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

Learn more about rotation and translation here:

https://brainly.com/question/2418278

1.find the domain,range and function.

{(-6, 4), (5, -1), (0, 3), (-2,4)}

Domain:
Range:
Function

Answers

Answer: domain: {-6, 5, 0, -2}

Range: { 4, -1, 3, 4}

Function: Yes it is a function

Should I do light pink nails or light blue nails???

Hurry I Need an answer

Answers

Answer:

blue!!

Step-by-step explanation:

<3

Need help now! fist gets brainlest

Answers

Answer:

x=88

Step-by-step explanation:

180-48-44=88

88+48+44=180

Para hacer una ración de puré de papa se necesita 1/5 de kg. ¿Cuántas raciones se pueden hacer con 7/4 de kg?
Gracias

Answers

Answer:

Cantidad de raciones=  8.75 raciones

Step-by-step explanation:

Dada la siguiente información:

Para hacer una ración de puré de papa se necesita 1/5 de kg.

Vamos a pasar las cantidades a décimales:

Ración puré= 0.2kg

Kg de papa= 7/4= 1.75 kg

Ahora, dividimos la cantidad total por la cantidad unitaria:

Cantidad de raciones= 1.75/0.2

Cantidad de raciones=  8.75 raciones

I have no idea :( Please help

Answers

Answer:

59; 44 & 68; 22.5; 44

Step-by-step explanation:

10.

x + 57 = 116x = 116 - 57 x = 59

11.

y = 180 - 112 = 68x= 180 - 2*68 = 44

12.

4x + 10 = 180 - 2*404x + 10 = 1004x = 90x = 90/4x = 22.5

13.

SG = HT/2SG = 88/2 = 44

Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

FGH and m FGH =(7x-9)
m HGJ = (2x + 36)
Find m FGH

X = 14
7x16 112

2x16 32+36 68
68+112= 180

The answer is x = 16

Give brainest pls

pls help me with question 8

Answers

9514 1404 393

Answer:

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

Step-by-step explanation:

The first column tells you the cost is ...

  $2.50/(5 lb) = 0.50 $/lb

That is, each bottom number is half the top number, or each top number is double the bottom number.

The table is ...

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

Find the slope of the line containing the pair of points.
(-10,6) and (-11,7)

Answers

Answer:

Step-by-step explanation:

(-10,6)(-11,7)

Slope is -1

The sum of two numbers is 37. Their difference is 7. What are the numbers?

Answers

Answer:

22 and 15

Step-by-step explanation:

22+15=37

22-15=7

Robyn wants to place a television set 8ft from her lounge chair. Can the other two distances shown be 5ft and 9ft? Identify the answer with the correct explanation.

Answers

Answer:

Yes, the sum of any two lengths is greater than the third length

Step-by-step explanation:

Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Any two parts of a triangle can be added together to have a length larger than the third side.

Robyn needs to put a TV 8ft from her parlor seat.

Applying the Triangle Inequality Theorem

1) 9 + 5 > 8 which is ok

2) 8 + 5 > 9 which is ok

3) 8 + 9 > 5 which  is ok

Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

The complete question is attached below.

e. Find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) Ć(1, -3).​

Answers

Answer:

Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Step-by-step explanation:

We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).​

We have three sides of triangle AB, BC and AC

The length of side can be calculated using distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now finding lengths of sides AB, BC and AC

i) Length of side AB

We have A (7,4), B (-8, 6)

and [tex]x_1=7, y_1=4, x_2=-8, y_2=6[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13[/tex]

So, Length of side AB is 15.13

ii) Length of side BC

We have B (-8, 6) and C(1, -3)

and [tex]x_1=-8, y_1=6, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72[/tex]

So, Length of side BC is 12.72

iii) Length of side AC

We have A (7,4)and C(1, -3)

and [tex]x_1=7, y_1=4, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21[/tex]

So, Length of side AC is 9.21

So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.

Answers

Answer: hey want to talk

Step-by-step explanation:

1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know.



Write your answer in the space below.

Answers

Answer:

✔️Length of the space Mr. Hamilton wants to fill with pictures = 4 ft long

✔️8 pictures can be fit on this wall by Mr. Hamilton

Step-by-step explanation:

The wall = 9.75 ft long

Window = 5¾ ft long = 5.75 ft

Each President's picture = 6 in. wide = 0.5 ft wide (note: 1 ft = 12 in.)

✍️Length of the space Mr. Hamilton wants to fill with pictures = 9.75 ft - 5.75 ft = 4 ft

✍️ Numbers of pictures that can fit on this wall = the space Mr. Hamilton wants to fill ÷ the width of each picture

= 4 ft ÷ 0.5 ft

= 8.

8 pictures will can be fit on the wall.

94 = y/4 - 18

Im stuck

Answers

Answer:

y= 448

Step-by-step explanation:

PLEASE MARK BRAINLIEST

1.) 94=y/4-18

94+18=[tex]\frac{y}{4}[/tex]-18+18

2.) simplify

add the numbers

112=[tex]\frac{y}{4}[/tex]

3.) Multiply all terms by the same value to eliminate fraction denominators.

112=[tex]\frac{y}{4}[/tex]

4 · 112=4 · [tex]\frac{y}{4}[/tex]

4.) Multiply the numbers

Cancel multiplied terms that are in the denominator

448=y

Solution

448=y

Terry spent $33.25 to have 475 fliers printed for his business. What was the cost of a single flier?​

Answers

Answer:

Step-by-step explanation:

divide 33.25/475 and you'll get 7 cents per flier

Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel. Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank. Which streets are parallel? Check all that apply. c || d c || e c || f d || e d || f e || f

Answers

Answer:

The answer is "c || f  and d || e".

Step-by-step explanation:

Its acute collision angle between e and t is:

[tex]\to 180^{\circ}- 112^{\circ} = 68^{\circ}[/tex]

Its angle refers to the acute corner of d, so d and e are parallel to its extreme angle of crossroads between c and t is:

[tex]\to 180^{\circ} -114^{\circ} = 66^{\circ}[/tex]

Its angle is identical to the acute angle of, f so, that c and f are parallel. [tex]d | |e, c || f[/tex]

All "corresponding" to extreme angles at crossings of t. Thus the associated points are connected to their congruence.

Answer:

C AND D just took it

Step-by-step explanation:

SUBB TO JAYLONSWORLD_YT ON YT

ASAP GIVING BRAINIEST AND 20 points 1. How can technology be both positive and negative when it comes to modified crops?

2. Why do you think it is important to find ways to improve crops?

Answers

Answer:

Technology can be both negative and positive when it comes to modified crops. It can be positive because it allows us to have more crops and resist pests and disease. It can be negative because it may cause deformities or health risks.

I really hope that helps you.

Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?

Answers

Answer:

150 I think

Step-by-step explanation:

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