f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

Answers

Answer 1

Answer:

[tex]f(g(x))=-6x[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) as real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

It can simply be found by substituting g into f.

Our functions are:

[tex]f(x)=2x-4[/tex]

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

Substituting g into f:

[tex]f(g(x))=2(-3x+2)-4[/tex]

Operating:

[tex]f(g(x))=-6x+4-4[/tex]

Simplifying:

[tex]\boxed{f(g(x))=-6x}[/tex]


Related Questions

Rewrite the equation below so that it does not have fractions.
Do not use decimals in your answer.

Answers

Answer:

x=17/14

Step-by-step explanation:

(7/9)x+2=(5/6)

18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.

7           18              126

----   *    ------   =     --------    =     14

9            1                9

14x+2=(5/6)

5            18             90

----     *   ------    =   ---------     =     15

6             1                6

14x+2=15

     +2 +2

14x=17

x=17/14

Hope this helps!

A 2-column table with 4 rows titled Cost of Food at the Store. Column 1 has an entry bag of apples, one eggplant, a bag of oranges, a bunch of broccoli. Column 2 has entries 2 dollars and 38 cents, 89 cents, 1 dollar, and 75 cents, 1 dollar, and 7 cents.
Carlos wants to add two more bags of apples to his order. What is the new total?

Previous total:

2.38 + 0.89 + 1.07 = 4.34

Carlos owes how much money?

Answers

Answer:

9.1

Step-by-step explanation:

correct on Edg 2020-21

8 increased by twice Goran's age
Use the variable g to represent Goran's age.

Answers

2g + 8 = 0
- 8 - 8
2g = - 8
/2 /2
g = -6
So.....g = - 6

can someone help me please:)

Answers

Answer:

8,710

Step-by-step explanation:

23.4 times 13.9 = 1567.8/0.18 = 8,710.

Let me know if you need any more help. :)

Answer:

b will equal to  1807  

Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?
O 2 + 2 = 4
O 10 + 0.998987... = 10.998987...
0 +=1
5 +2.7 7.7

Answers

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

all men get ready november 1st is in 6 day and we not all going to survive i wish luck to u all

Answers

Answer:

The same right back at you

Step-by-step explanation:

what is x in the equation 6.25x + 12 = 30.70?

Answers

Answer:

x=2.99200

Step-by-step explanation:

6.25x=18.7

x=2.99200

6.25x=18.7    the answer is x=2.992

Which values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 onlyWhich values from this set {−36, −32, −16, 0, 4, 16} satisfy this inequality? −14x+6≥14 −32, −16, 0, 4, and 16 only 0, 4, and 16 only −36, −32, and −16 only −36 and −32 only

Answers

Answer:

Step-by-step explanation:

Given the inequality −14x+6≥14, we are to find the range of x that will make the inequality true.

Given −14x+6≥14

Subtract 6 from both sides.

−14x+6-6≥14-6

-14x≥8

-7x≥4

Multiply both sides by -1

-(-7)x≤-4

7x ≤ -4

x≤-4/7

This shows that the values of x is always less than or equal to -0.57

Hence the values less tan the value of x in the inequality are -36, -32 and -16

Please help ASAP please

Answers

Orange is a reflection of green because they have the same points. The difference is one has all positive and the other has one negative.

Not actual points just an example:

Orange (5,5), (5,5), (5,5)

Green (-5,5), (-5,5), (-5,5)

They are the same shape but Orange is a reflection of green

A mathematical sentence with an equal symbol used (I need the definition of it)

Answers

Answer:

An equation is a mathematical sentence containing an equals sign. It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.

Step-by-step explanation:

What is P in p − 6 = −5

Answers

Answer is 1

This might help


How Did You Do? Rate Your On a Scale Of1 to 5, with 5 as the highest score. then Write a brief evaluation of your work. Note what you learned and what challenges you

Answers

What is this specifically for??

Answer:

I would give myself a five, i am amazing either way

Step-by-step explanation:

Could i please get this by today?

Answers

Answer:

ex.1: 9000$ ex.2: The only way it would work is 9x(-9)= -18+5= -13. ex.3: around 4 hours ex.4: I'm so sorry, I don't understand that. I failed you on that one someone else can answer it ex.5: 149 lbs.

Step-by-step explanation:

Ex1: Is he earns 1/6 of his sales, then it's 1500x6, which is 9000$.

Ex2: Shown in answer.

Ex3: !60+38=198+18=236+38=312.

Ex4: :'(

Ex5: Ruby is 3 lbs less than half her mom's weight, so it would be 76x2=152, then 152-3=149.

Find m+b and Write the equation
in Slope-Intercept form (y=mx+b)

Answers

Answer:

Slope: 3

y = 3x - 4

Step-by-step explanation:

Slope = rise/run = 3/1 = 3

y = mx + b

m = slope = 3

b = y-intercept = -4

y = 3x -4

Which one don’t lie!!!!!!!!

Answers

Answer: 1/8

Step-by-step explanation:

Hope this helps

Answer:

1/8

Step-by-step explanation:

(4-2) / (32-16) = 2/16 = 1/8

in the expression 6x+5-4x the terms are​

Answers

Answer:

2x+5

Step-by-step explanation:

Answer:

6x, 5, -4x

Step-by-step explanation:

POSSIBLE PO In a bag there are 10 red marbles, 5 green marbles, and 5 blue marbles. Wh at is the ratio IN FRACTION FORM of RED marbles to the total?​

Answers

Answer:

10/20 = 1/2

There are a total of 20 marbles, and ten of those are red = 10/20

Which, is half of the total.

-4b+ 5(1 - 6b) = 243

Answers

-4b + 5(1 -6b) = 243
-4b + 5 - 30b = 243
-34b = 243 -5
-34b = 238
-b = 7
b = -7
the answer is -7

-4b+5(1-6b)=243
-4b+5-30b=243
-34b+5=243
-34b=238
-b=7
b=-7

This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.

Lindy Landscaping Gardens
A line graph titled Lindy Landscaping Gardens has tulips on the x-axis, and Daffodils on the y-axis. There is 1 tulip for every 2 daffodils.


What is the constant of proportionality?
0.2
0.5
2
5

Answers

Answer: 2

Step-by-step explanation: I saw the answer somewhere else. Just wanted to tell you. I got it right on the test I think I was doing.

Answer:

2

Step-by-step explanation:

x(1+y)=z, for x
[tex]x(1 + y) = z for x[/tex]

Answers

x(1+y)=z or x=z1+y


I really hope this helps heh.

-9.5 - (-8) -6.5
helppppppppppp

Answers

Answer:

-8

Step-by-step explanation:

A​ company's stock began the day at ​$36.66 per share. That price drops by ​$1.69 each hour.
a. What is the price per share after 6 ​hours?

Answers

Answer:

After 6 hours the price per share is $26.52

Step-by-step explanation:

You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.

Hope this helps!

help me please i need help

Answers

Um question there is no question so I cannot answer,,,

Answer:

i'll help you

Step-by-step explanation:

122212i3jewfc ndskja cyas queen

this is confusing and my stomach really hurts rn and im not in the mood to do geometry so can someone please help me

Answers

Answer:

second, third, and fourth

Second, third and fourth

explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11

Answers

1st one is x=5
2nd one is x=-15
Pls mark brainliest

The triangles shown below must be congruent.

True or false

Answers

Answer:

true

Step-by-step explanation:

they're not dilated in anyway.

True is the answer .....

A square has an area of 4 m^2 What is the length of each side?

Answers

Answer:

length of each side is 2 metres

Step-by-step explanation:

square area = b^2

4 square m = b^2

square root of 4 = b

therfore b = 2

What is the equation X= 5y-10

Answers

Answer:

y = (1/5)x + 2

Step-by-step explanation:

X = 5y-10

5y = x + 10

y = (1/5)x + 2

Use substitution to solve the system.
x = 3y +7
3x + 4y = 8

Answers

Answer:

x=4, y=-1

Step-by-step explanation:

x=3y +7. equation 1

3x+4y=8. equation 2

substitute equation 1 into equation 2

3 (3y +7)+4y =8

9y+21+4y=8

13y+ 21=8

13y=8-21

y=-13/13

y=-1

substitute the value of y into equation 1

x=3(-1)+7

x=-3+7

x=4

The camp athletic director wants to arrange kickball games for high school students and middle school students. Because of the ages of the campers, the high school kickball field is larger than the middle school field. The length of the square base path of the high school field is represented by the expression 2x−3 and the length of the middle school base path is represented by the expression x−8.


What is the area of the middle school field if its side measures x−8 feet?

What is the area of the high school field if its side measures 2x−3 feet?

Answers

Answer:

Step-by-step explanation:

The area of the high school field’s base path is (4x^2 -12x + 9) ft^2

The area of the middle school field’s base path is ( x^2 -16x + 64) ft^2

The difference in size between the two is

(3x^2 +4x - 55) ft^2

Step-by-step explanation:

Firstly, we are to calculate the area of the high school field’s base path

Mathematically, the area of a square is L^2

where L is the length of the side of the square. The area of the high school field base path is thus;

(2x-3) * (2x-3) = 2x(2x-3) -3(2x-3) = 4x^2 -6x -6x + 9 = (4x^2 -12x + 9) ft^2

The area of the middle school field’s base path can be calculated in a similar fashion

That would be (x-8) * (x-8) = x(x-8)-8(x-8) = x^2 -8x -8x + 64 =( x^2 -16x + 64) ft^2

The difference in size between this two will be;

(4x^2 -12x + 9) - ( x^2 -16x + 64) = 4x^2-x^2-12x+16x+9-64 = (3x^2 +4x - 55) ft^2

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