Mathematics College

For f(x) = x+6 and g(x) = 2x + 3, find the following
a. (fog)(x)
b. (g of)(x)
c. (fog)(2)

Answers

Answer 1

Answer:

[tex](f o g)(x) = 2x + 9[/tex]

[tex](g o f)(x) = 2x + 15[/tex]

[tex](f o g)(2) = 11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x+6[/tex]

[tex]g(x) = 2x + 3[/tex]

Solving (a): (f o g)(x)

In functions:

[tex](f o g)(x) = f(g(x))[/tex]

Solving for f(g(x))

[tex]f(x) = x+6[/tex]

[tex]f(g(x)) = 2x + 3 + 6[/tex]

[tex]f(g(x)) = 2x + 9[/tex]

So:

[tex](f o g)(x) = 2x + 9[/tex]

Solving (a): (g o f)(x)

In functions:

[tex](g o f)(x) = g(f(x))[/tex]

Solving for g(f(x))

[tex]g(x) = 2x + 3[/tex]

[tex]g(f(x)) = 2(x+6)+3[/tex]

Open bracket

[tex]g(f(x)) = 2x+12+3[/tex]

[tex]g(f(x)) = 2x+15[/tex]

So:

[tex](g o f)(x) = 2x + 15[/tex]

Solving (c): (f o g)(2)

In (a):

[tex](f o g)(x) = 2x + 9[/tex]

Substitute 2 for x

[tex](f o g)(2) = 2*2 + 9[/tex]

[tex](f o g)(2) = 4 + 9[/tex]

[tex](f o g)(2) = 11[/tex]

Related Questions

a factory can fill 25 containers of pizza every minute. All of the containers are the same size. How many minutes will it take the machine to fill 900 container?

Answers

Answer:

1,600

Step-by-step explanation:

how you show do it is ADD

900

TO

25 AND YOU WILL GET YOUR ANSWER

Solve for T
48 = - 12t
t =

Answers

Answer:

t=-4

Step-by-step explanation:

48/-12

Answer:

48=-12t

We simplify the equation to the form, which is simple to understand  

48=-12t

We move all terms containing t to the left and all other terms to the right.  

+12t=-48

We simplify left and right side of the equation.  

+12t=-48

We divide both sides of the equation by 012 to get t.  

t=-4

Please answer quick I give 20 points

Answers

Answer: The answer is A

Step-by-step explanation:

Can you help me find surface area of this prism?

Answers

Answer:

400 cm²

Step-by-step explanation:

Triangles: 1/2x15x8=60 (two of those)

Base: 8x7=56

Back: 15x7=105

Sloped side: 7x17=119

60+60+56+105+119=400 cm²

What percent of 84 is 12? Round to the nearest whole number.

please hurry! i have until 2:15 and it’s 2:12!!

Answers

14.285714285714%
Convert fraction (ratio) 12 / 84 Answer: 14.285714285714%

im 99% sure that this is the correct answer

Answers

Answer: You are correct. The answer is choice A. Nice work.

Explanation:

Assuming Ramon did his steps correctly, ending up with 53 = 477 means that the original equation doesn't have any solutions.

Consider an example such as x+5 = x+6

We can subtract x from both sides to end up with 5 = 6, but that's a false statement. So no value of x can be plugged into x+5 = x+6 to lead to a solution. This idea applies to Ramon's original equation. The equation 53 = 477 is a contradiction (the left side contradicts the right side since the numbers don't match).

Person above is correct

Help ASAP!! I will mark you brainliest

Answers

Answer:

2 turning points

Step-by-step explanation:

There are two places where the graph goes from increasing to decreasing then back to increasing. Hope this helps :)

What is a formula for the nth term of the given sequence?
3,5,7...

Answers

Answer:

You can always find the 'nth term' by using this formula: nth term = dn + (a - d) Where d is the difference between the terms, a is the first term and n is the term number.

What is the classification of the pair of angles shown?
(5 Points)
34°
146°

Answers

Answer: its H

Step-by-step explanation:meaning its Supplementary

Behavior patterns which are already present at birth are called ____

Answers

Answer:

instincts

Step-by-step explanation:

i luv u!

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours. Step 2 of 5 : Approximately how many families are in the sample

Answers

Answer:

There are approximately 343 families in the sample.

Step-by-step explanation:

xth percentile:

A measure is said to be in the xth percentile if it is greater than x% of the measures.

Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.

This means that 7% of the sample size n is 24. So

[tex]0.07n = 24[/tex]

[tex]n = \frac{24}{0.07}[/tex]

[tex]n = 342.86[/tex]

Rounding up, there are approximately 343 families in the sample.

In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

Your answer would be 2

Step-by-step explanation:

I would explain but its too hard

I literally have no clue how to do this.

Answers

Answer:

Step-by-step explanation:

Sine is opposite divided by the hypotenuse.

sin(30) = 9/y

1/2 = 9/y

y = 18

Cosine is adjacent divided by the hypotenuse

cos(30) = x/18

[tex]\frac{\sqrt{3} }{2}=x/18\\x=9\sqrt{3}=15.6[/tex]

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Evaluate the following expression. 7^0

Answers

Yes yes ma’am I am sorry for that but that’s why

Pls help extra points and mark brainlist

Answers

Answer:

I think the answer is 3/4^2

Answer:

1/2

Step-by-step explanation:

What is x when 44x=78

Answers

X= 1.77
Hope this helps :)

Answer:

≈ 1.77

Step-by-step explanation:

So we are looking for x in 44(x) = 78.

All we have to do is isolate the variable, get x by itself.

Divide 44 by both sides :

[tex]\frac{44x}{44} = \frac{78}{44}[/tex]

[tex]x = 1.772727272723[/tex]

Which can be rounded to ≈ 1.77

Marian is making bread, she has 2 4/7 pounds of flour in her pantry. When making the bread, she will use ⅓ of the flour in the pantry. The amount of salt in the recipe is ⅓ of the amount of flour in the recipe. How much salt will Marian need to make bread?

Answers

Find 1/3 of 2/47. Then find a 1/3 of that amount. That is how much salt Marian will need. Let me know if you need more help!

Which is used to determine if a relation is a function?
a.)3d line test
b.)horizontal line test
c.)diagonal line test
d.)vertical line test

Answers

D. Vertical line test

Answer:D

Step-by-step explanation:

Gabriel went shopping for a new camera. The listed price of the camera was $37, but the price with tax came to $40.33. Find the percent sales tax.

Answers

Answer: 9% sales tax

Step-by-step explanation: 40.33-37=3.33

so, now we got to divide 3.33 by 37 (3.33/37) and that = 0.09. Now we got to do 0.09x100 and you get 9%. So basically, subtract, divide, and multiply by 100

At the City Zoo, of the zoo is set aside for the monkeys. There are 4 different monkeys, each
with an equal-sized area. What fraction of the zoo is set aside for one monkey area?
Can someone plz answer me...

A.1/4

B.4/15

C.1/13

D.1/36

Answers

i think part of this question is missing between “at the city zoo” and “of the zoo.”

but i think the answer could be a.

because if there are 4 different monkeys, and they all got 1/4 of space, it would be equal.

Help please!!!! Ahahha help me

Answers

What do u need help with

what is 235% of 82

please hurry!!

Answers

Answer:

192.7

Step-by-step explanation:

It will give you 192.7 or 1927/10

the population of the town is 20000 it decreases at a rate of 9% per year in about how many years will the population be fewer than 13000

Answers

Answer:

Go here

Step-by-step explanation:

https://brainly.com/question/19678086#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=thats%201%20year.,thats%202%20years.

Answer:

4 years

Step-by-step explanation:

9% of 20,000 is 1,800. So, if you keep subtracting 1,800 from 20,000, it will take 4 times until you get to 12,800, which is as close as you can get to 13,000 in this scenario.

Type the correct answer in the box. Use numerals instead of words.
Divide.
2,254 : 23 =

Answers

Answer:

98

Step-by-step explanation:

Divide.

Hope I helped!

Solve for the value of t.

Answers

Answer:

t=24

Step-by-step explanation:

180-49°-90°=41

2(t)-7=41

t=24

Answer:

I'm sorry

Step-by-step explanation:

find another person on here or just copy and paste the whole thing into brainy.

I need help only gives me 3/3 marks

Answers

angle EFB= 75°= Angles on a straight line add up to 180°

x= 75°= Corresponding angles.

What is the y-coordinate of the solution to this system of equations?
5x-8y=1
3x+6y=-21

Answers


5x-8y=1...(1)
3x+6y=-21...(2)

(1)*3:
15x-24y=3...(3)

(2)*5:
15x+30y=-105...(2)

(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2

(8x^2 – 7x – 2) – (6x^2 – x + 3)​

Answers

Answer: = -2x-5

Step-by-step explanation:

Need help supper fast pls

Answers

I feel bad for you science is hard u know that

Why do you think it’s important for students to learn about math

Answers

Answer:

Step-by-step explanation:

Math is in our everyday lives. We calculate and use math in our daily lives without knowing it. By learning math, we build on useful knowledge that will help us have a better future. For example, learning how to pay taxes acquire math. Grocery shopping needs you to find the cost of the product you’re buying. When we learn math, we gain knowledge and we can pass that knowledge to our future generations so more and more people can use it to find better jobs, make your life easier, and so much more. Therefore, that is why it is important for students to learn about math.

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