Question

F(x) = 5x + 7
and
g(x) = -2x - 4
Find
g(f(x)) = [?]x + [?]

Answer 1

Explanation:

f(x)=5x+7

g(x)=-2x-4

g(f(x))=g(5x+7)=-2(5x+7)-4=-10x-14-4=-10x-18

=-10x+(-18)

Answer 2

g(f(x)) = -10x -18

Explanation:

You want the value of g(f(x)) given that f(x) = 5x+7 and g(x) = -2x -4.

Composition

The composition of the two functions is found in the usual way functions are evaluated. When the value of f(x) is used as the argument for g(x), we have ...

g(f(x)) = g(5x +7) = -2(5x +7) -4 = -10x -14 -4

g(f(x)) = -10x -18

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