Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Step-by-step explanation:

Composite Function

Given f(x) and g(x) as real functions, the composite function is defined as:

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

Removing parentheses:

Simplifying:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

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