The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)​

Answers

Answer 1

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2


Related Questions

graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1

Answers

the opposite of y=(-9/1)x-1 is y=(9/1)x+1

please hurry
Suppose Ms. Kraus is 1.75 m tall. When her shadow is is 1 m, how long would the shadow be of a 265 m tall building? (Make a sketch to help solve the problem) a. 175 m c. 265 m b. 151 m d. 100 m

Answers

Answer:

b. 151m

Step-by-step explanation:

Step-by-step explanation:

That's the right answer on edge

The shadow of a 265m long building would be b. 151 m

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  Ms. Kraus is 1.75 m tall. When her shadow is 1 m.

Let the shadow of a 265 m tall building be 'x' m.

Therefore by the ratio proportion method.

1.75 : 1 : : 265 : x.

1.75/1 = 265/x.

1.75x = 265.

x = 265/1.75.

x = 151.42 Or 151 m.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

What is the constant rate of change of the graph below?

Answers

Answer:

the constant rate of change is 20

Find the series in A.P whose sum to n terms is n*(n+2)​

Answers

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

[tex]S_{n}[/tex] = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

please can you help meeee,

Answers

Answer:

what are the choices?

Step-by-step explanation:

find x. 10, 37 degrees

Answers

Answer:

tan

(

37

°

)

The result can be shown in multiple forms.

Exact Form:

tan

(

37

°

)

Decimal Form:

0.75355405

Step-by-step explanation:

?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?

Answers

Answer 10$ + 8$+5$= answer that first.

Step-by-step explanation:

In 1992, 104 million voters participated in the federal election. In 1996, 96 million voters
participated in the federal election. Find the rate of change of voters per year.
HELP ASAP

Answers

Answer: 8 million people

Step-by-step explanation:

Plz brainliest

what is the measure of <x?​

Answers

Answer:

31 degrees

Step-by-step explanation:

...........

plz help
Functions f, g, and h are defined as follows: f(x) = x +1, g(x) = x^2 +1, and h(x) = x^3 +1.
(a) Find the inverse of function g(x).
(b) Find f(h(-2))
(c) Find g(f(3)

Answers

Answer:

a. let the gx be x

g(x) = x^2+1

or, x^2+1=y

or, x^2= y-1

:. x=2 root y-1

inter changing the relation of xand y

:. x=2 root y-1

:. g-1(x)= 2root x-1

b.

CAN SOMEONE HELP ME wiTH THIS?? [-8]+12

Answers

(-8) + 12 is the same as 12-8 = 4

The owner of a coffee shop collected receipts from all orders placed during a one hour period. For each receipt, the owner recorded the payment method used and if the receipt was $20 or less or more than $20. The following table shows the frequencies of the results. Payment Method Total Phone App Cash Credit/Debit Card 8 10 10 Receipt of $20 or less 15 25 32 Receipt of more than $20 100 Total If a receipt collected during the one hour period is to be selected at random, what is the probability that the receipt was paid with cash? Enter your answer as a value between 0 and 1 rounded to two decimal places ​

Answers

Hi! unfortunatly I'm not good at math BUT I would suggest to copy this question and paste on google. Sometimes it gives you the answers. If not then, I'm really sorry! have a good day :)

The probability of selecting a receipt of more than $20 is 1/3 or 0.33 if the owner of a coffee shop collected receipts from all orders placed during a one-hour period.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The amount on the receipt = {8, 10, 10, 15, 25, 32}

Total outcome = 6

The amounts are grouped as more than $20 and less than $20.

The event is the amount on receipt more than $20 = {25, 32}

Total favourable outcome = 2

Probability = 2/6 = 1/3 or

= 0.33

Thus, the probability of selecting a receipt of more than $20 is 1/3 or  0.33 if the owner of a coffee shop collected receipts from all orders placed during a one-hour period.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

PLEASE ANSWER ASAP
If f(x) =5x^3and g(x) = x+1, find (f•g)(x).
А. 5х^4+5х
В. 5x^4 +1
C. 6x^3
D. 5х^3+1

Answers

Step-by-step explanation:

5x^3(x+1)=5x^4+5x

answeri s a

HELPPP PLEASE ASAP...............................

Answers

There are 108 that are cows

Answer:

Would it be 108. Maybe I'm wrong. Let me know.

Step-by-step explanation:

Can someone help me ????

Answers

I think that the best answer is the second one
8x^2+1x-4

Hope you get it right :D
There is a program for solving math equations I'm looking for

y = (x - 4)(x-8)
Distribution

Answers

Answer:

[tex]y= x^{2} -12x+32[/tex]

Explanation:

[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]

what is the answer to y=-5x+3

Answers

Answer:

x = 3/5

Step-by-step explanation:

y= -5x + 3

0 = -5x + 3

5x = 3

x = 3/5

Answer:

your mom

Step-by-step explanation:

because y for dishwasher

1. Describe one point on the line and the slope of the line graphed below:
O (2,0),
O (-4,2),
O (-4,2), -3
0 (0,1),

Answers

The last one :)
Not 100% sure but yeah-

The line is passing through (2, 0) and (0, 0.8) and the slope is 0.4. Then the correct option is A.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

From the line, we can observe that the line is passing through (2, 0) and (0, 0.8).

Then the slope of the line will be

Slope = (0.8 – 0) / (0 – 2)

Slope = 0.4

Then the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Can someone explain how you solve proofs?

Answers

Answer:

Yeahh

Step-by-step explanation:

Write the statement in one side and give the reasons on other side.

And then proof it by accurate reason

can you help me here plz

Answers

Answer:

Your answer is B

Step-by-step explanation:

[tex]\sqrt{-81} =\sqrt{81i^{2} } or 9i.\\[/tex]

Hope this helps :D

Answer:

Step-by-step explanation:

√-81 = 9i

Since the root is a negative, you need the i in the answer

What is the value of x that makes the statement true?

8x + 45 = 10x + 69

x =

Answers

Answer: x = - 12

8x + 45 = 10x + 69

⇔ 10x - 8x = 45 - 69

⇔ 2x = -24

⇔ x = -12

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

8x + 45 = 10x + 69

8x = 10x + 24

-2x = 24

x = -12

Which inscribed angle appears to be a right angle?

A. BCM
B. CMA
C. BAC

Answers

Answer:

it's BAC cuz it is made with a diameter and a point at the circumference

does that help?

Name a set of vertical angles

Answers

Answer:

EKH and FKG

Step-by-step Explanation:

you could choose any sets with a common vertex. i just chose those two

If two 12-sided dice are rolled, what is the probability that both numbers will be even?
ANSWERS:
1/2
73/144
1/4
71/144

Answers

1/4 I think, I’m not sure

The probability that both numbers will be even will be ( 1 / 4 ). The correct option is C.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that two 12-sided dice are rolled and need to calculate the probability of getting an even number.

Number of favorable outcomes = 6 x 6 = 36

Number of sample = 12 x 12 = 144

The probability of getting an even number will be calculated as:-

Probability = Number of favorable outcomes / Number of sample

Probability = 36 / 144

Probability  = 1 / 4

Therefore, the probability that both numbers will be even will be ( 1 / 4 ). The correct option is C.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

i get get 18 dollars every 2 minutes how long would it take to get 2500 dollars​

Answers

Answer:

277 . 778 minutes

Step-by-step explanation:

it takes 2/18 minutes to earn 1 dollar

so, it takes 2/18 × 2500 minutes to earn 2500 dollars

2/18 × 2500

=277 . 778 minutes

Chocolate chip and peanut butter cookies are randomly chosen from a cookie jar and placed onto a plate. The first plate had four chocolate chip cookies and one peanut butter cookie. A second plate was prepared with 2 chocolate chip cookies and P peanut butter cookies. If the total probability of drawing a chocolate chip cookie from the first plate and then the second plate is 8/25, how many peanut butter cookies, P, are on the second plate? PLEASE HELP THIS IS A FORMATIVE I HAVE TO FINISH THIS TEST AT 12:55, AND IT IS 12:29 RIGHT NOW PLEASE HELP <:(

Answers

Answer:

3 peanut cookies

Step-by-step explanation:

Given that :

Plate 1:

Number of chocolate chip = 4

Number of peanut butter cookies = 1

Probability of drawing chocolate chip cookies from plate 1 :

Probability =( number of required outcome / Total possible outcomes)

P(chocolate chip) = 4 / 5

Plate 2:

Number of chocolate chip = 2

Number of peanut butter cookies = p

P(chocolate chip) = 2 / (2 + p)

Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25

(4/5) * 2/(2+p) = 8/ 25

8 / (10 + 5p) = 8/ 25

8(10 + 5p) = 8 * 25

80 + 40p = 200

40p = 200 - 80

40p = 120

p = 3

What does 0 represent on the number line?

Answers

Answer: So zero represents the point when locating a point on the number line like negatives and positives

How do I write that out

Answers

Answer:

just type in -3

Step-by-step explanation:

6/11 I believe it should be

Which equation has a slope of -2 and passes through the point (3,-4)

Answers

Answer:

B. y = -2x + 2

Joan can mow a 10-acre field in 4 hours. How long would it take her to mow a 8-acre field? ​

Answers

Answer:

Step-by-step explanation:

10/4=2.5

8/2.5=3.2

3.2 hours

Other Questions
g A monopoly may exist because Question 21 options: a) government has refused to grant a public franchise. b) one firm has the exclusive ownership of a necessary resource. c) the firm is so large and is currently experiencing such vast diseconomies of scale that it can out-compete all newcomers. d) a and b e) a, b, and c Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat? Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball? When you hold something heavy in your arms and then put it down, your muscles slowly return to a normal conditionbecause ofelasticity.torquetensionmechanics. ill mark brainliest What was the purpose of the Constitutional Convention? Describe the circumstances of a solar eclipse. A rock is thrown from a cliff into a ravine. The function () = 16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown? This text is from "The Story of an Hour"----->She was young, with a fair, calm face, whose lines bespoke repression and even a certainstrength. What is the repression that Chopin is referring to that requires Mrs. Mallards certainstrength to overcome? (RL.9-10.4)a. Her marriageb. Her abusive husbandc. The shock of her husbands deathd. Her imprisonment in her room Write an equation for the line parallel to the given line that contains C.y = 1. Tu nas pas de vacances cet t? Why does this question use de and not des? Construct a response using si to disagree with this negative question. How can you emphasize your response by using a disjunctive pronoun .Solve the system of equations 3x + 2y = 22 and x - 2y = -6.solve system of equations how are my agisment and how they are you doneing simplify by combining like terms: 6.1a + 5.7b + 3a what is harke haldar who is the Minister of Education of Trinidad and Tobago I need help, this is really confusing. The two triangles below are similar. What value of Q and B would make this true what did the declaration of independence list as a reason the colonies sought inderpendence from great britian? If you were a conquistador when Spain enacted the encomienda system, what was your intended purpose?(pls stay off my page if u aint gon help me get it right. )