Which function represents the inverse of function fbelow?
f(x) = 3 x + 5​

Answers

Answer 1

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

Step-by-step explanation:

let y = f(x) then rearrange making x the subject , that is

y = 3x + 5 ( subtract 5 from both sides )

y - 5 = 3x ( divide both sides by 3 )

[tex]\frac{y-5}{3}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]


Related Questions

What is the approximate area?

Answers

Answer:

71.77cm

Step-by-step explanation:

Answer:

71.76 cm^2

Step-by-step explanation:

The composite figure is made up of a rectangle with a missing half circle and a triangle.

area = area of rectangle + area of triangle - area of half circle

For the circle, radius = r = diameter/2 = 7 cm/2 = 3.5 cm.

area = LW + bh/2 - (pi)r^2/2

area = 10 cm * 7 cm + 7 cm * 6 cm/2 + (3.14)(3.5 cm)^2/2

area = 70 cm^2 + 21 cm^2 - 19.24 cm^2

area = 71.77 cm^2

Answer: 71.76 cm^2

PLEASES HELP
I need help on this question the screenshot are down below

Answers

Answer:

D would be the answer

Step-by-step explanation:

I’ll give BRAINLIEST

Answers

Answer:

E. 18 on each van and 40 on each bus

Step-by-step explanation:

3(18) + 5(40) = 254 and 10(18) + 10(40) = 580

A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none

Answers

Answer:

none or vertical

Step-by-step explanation:

I think sorry if I get that wrong

Does anyone know how to do this
a1=9
a_n= a_n-1 -4

Answers

No sorry I hope you figure it out tho
No hope you figure it out tho

PLZ HELP QUIK PLZ HELP PLZ

Answers

Answer:

(x,y) = (-2,7)

Step-by-step explanation:

7x+2y=0

9x+4y=10

y = -9x/4 + 5/2

7x+2 (-9x/4 + 5/2) = 0

5x/2 = -5

5x = -10

x = -2

use x and substitute to get y

y = -(9/4) (-2) +5/2 = 7

Thuli has 8 shells and Nandi has 24 shells.what is the ratio of Thuli 's shells to Nandis​

Answers

the ratio would be 8:24 , 8 to 24, or 8/24 . they all mean the thing but i would recommend 8:24

whts 5/8 - 2/4
plz help will mark brainliest
and i will give 30 points

Answers

Answer:

5/8 - 2/4 = 1/8

(Hope this helps! Btw, I answered first. Brainliest please! :D)

What are the solutions of ? = 8-52?
o s-ľ57 S + √57
O-5-57
5+57

Answers

Answer:

99,000

Step-by-step explanation:

An electrician needs to know that the relationship between amps, volts, and resistance is
expressed in the formula V = IR where V is volts, I is amps, and R is ohms. How large a
resistance is needed to produce 8 amps from 184 volts?

Answers

Answer:

R = 23 ohms

Step-by-step explanation:

Start with V = I*R.  Solve for R:  R = V/I

Here I = 8 amps and V = 184 volts, and so

R  = (184 volts) / (8 amps) = 23 ohms

What is the value of x?

Answers

In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is [tex]\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}[/tex].

Find the volume of the figure.

Answers

Answer:

90 m³

Step-by-step explanation:

Volume of the prism is the product of the base area and the height

Base area is:

A = 1/2*10*3.6 = 18 m²

Volume is:

V = 18*5 = 90 m³

Answer:

Required Answer :-

The base is representing a trapezium.

So,

Area = ½ × 10 × 3.6

Area = 5 × 3.6

Area = 18 m²

Now,

Volume = 5 × Area

Volume = 5 × 18

Volume = 90 m²

[tex] \\ [/tex]

Use the distributive property to expand (simplify): 3(4x - 12yz)

Answers

Answer:

12x -36yz

Step-by-step explanation:

hope this helps!

Hello!

In order to simplify this expression, all we have to do is multiply 3 times the terms inside the parentheses:

3(4x-12yz)

12x-36yz

That's the final answer, because there are no like terms here, so we cannot simplify this expression any further.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

help please ........​

Answers

Answer: C

In vertex form a(x - h)2 + k, values of a indicate the horizontal stretch/compression. From there just knowing that values less than 1 stretch the graph, while values greater than 1 compress it. Graphing it out on your own by simply inputting values into x will make this pretty clear.

Hope this helps!

Determine whether 5n2 or 3n will have the greater value when:



a. n = 1

Answers

Answer:

5n2 will have a greater value

Step-by-step explanation:

5n2

5x1x2=10

3n

3x 1= 3

Tell whether each event is impossible, unlikely, as likely as not, likely, or certain. Rolling a number cube and getting a number that is less than 7.

Answers

Answer:

Certain

Step-by-step explanation:

The answer is certain because all the numbers on a cube are less than 7. So it's impossible to get a number more than 7, or equal to 7.

daniel eats 2/10 of yogurt for breakfast each morning how much yogurt does daniel eats for 3 days

Answers

Answer:

6/10

Step-by-step explanation:

2/10 times 3/1=6/10

hope this helps:) plz mark me brainliest

Answer:

3/5

Step-by-step explanation:

alrighty, so this is a standard rate and multiplication problem. How do we know? Well, because there's a steady rate of 2/10 per day, and for 3 days so:

2/10 x 3 = 6/10

6/10 can be simplified:

6/10 ÷ 2 = 3/5

So Daniel eats 3/5 yogurt over the course of 3 days

hope this helps:)

If a house is built on sand is sinking at a rate of two inches per day which is the change in the height above ground of the house after 11 days

Answers

Answer:

Height of the house will reduce by 22 feet after 11 days.

Step-by-step explanation:

A house is sinking at the rate of 2 inches per day.

That means rate of sinking of the house is 2 inches in a day.

Therefore, house will sink or change in height of the house in 11 days

= Rate o change in height × Number of days

= 2 × 11

= 22 feet

Height of the house will reduce by 22 feet after 11 days.

ANYONE KNOW THISSS NEED HELP ASAPPP CANT FAIL THIS!!!

Answers

i would say s but i dont know

ella deposits $8000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?

Answers

32,00 I want to say lmk if im wrong

Angle A and Angle B are supplementary angles. If angles A = 65, find the m Angle B.

Answers

Answer:

B = 115

Step-by-step explanation:

Since A and B are supplementary, they add up to 180 degrees.

Thus, 65 + B = 180, and B = 115

A truck requires 35 liters of petrol to travel a distance of
450km.Find
The amount that the truck owner has to pay to travel distance of
1050 km if a liter of petrol costs $2.95.

Answers

Answer:

$240.92

Step-by-step explanation:

From the question,

The distance traveled by the truck is directly proportional to the amount of petrol used.

I.e,

d ∝ v............... Equation 1

d = kv

d/v = k

d₁/v₁ = d₂/v₂............. Equation 2

Where d₁ and d₂ are initial and final distance respectively, v₁ and v₂ are initial and final amount of petrol used respectively.

Given: d₁ = 450 km, d₂ = 1050 km, v₁ = 35 liters

Substitute into equation 2 and solve for v₂

450/35 = 1050/v₂

v₂ = (1050×35)/450

v₂ = 36750/450

v₂ = 81.67 Liters.

If a liter of petrol cost $2.95,

Then,

81.67 liters will cost (81.67×$2.95) = $240.92

The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer: 4 gallons per day

Step-by-step explanation:

From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.

The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:

= 12/3

= 4 gallons per day

Therefore, the rate they use in taking milk is 4 gallons per day.

PLEASE HELP I NEED THE POINTS FOR THIS QUESTION, ILL GIVE BRAINLIEST
To qualify as a contestant in a race a runner Has to be the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 minutes and a standard deviation of 5 minutes. to the nearest minute, what is the qualifying time for the race?

Answers

Answer:

it is within 5 minutes ahead or behind 5 minutes of 64 minutes

let me know if it´s wrong

HELP ASAP
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX? 5° 15° 75° 150°

Answers

That sounds horrible

1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?

Answers

Answer:

I believe it would be $31.39

Step-by-step explanation:

Original Price - $45

Price With Sale And Tax $31.39

Hope that helps!

PLS HELP MEEEEE!!!!!! I will give the brain thingy!!!

Answers

Answer:

y=5

Step-by-step explanation:

16-11= 5.

So y must be 5

pls give brainiest

Answer:

answer y-5

Step-by-step explanation:

do 16-11

Wendy is helping her mom put candy in 217 giftbagd. Each bag has 7 pieces of candy. She already put 58 pieces of candy in the bags. How many more pieces of candy need to go in the giftbagd

Answers

Answer:

406 pieces. If you multiply 58 times 7 you get 406. 406 divided by 58 is 7.

Help ASAP I really need an answer I don't need links please and if you don't know that answer just don't answer

Answers

Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2[tex]\pi[/tex]r. since the radius is 18, you make the equation 2[tex]\pi[/tex]18. that gets you 36[tex]\pi[/tex], which, if put into the calculator, is about 113.

How many dollars, per candle, did the candle maker raise her price?

Answers

she made 0 dollars because she didn’t even have candles to beginning with oOoOoOoOoOooOo
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