SOLUTION: Given the functions f(x)= -3x-5 and g(x)=x^2-4, find g(f(x)).

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Question 1171599:
Given the functions f(x)= -3x-5 and g(x)=x^2-4, find g(f(x)).
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29=x%5E2-4

g%28f%28x%29%29=%28f%28x%29%29%5E2-4 Replace every x with f(x)

g%28f%28x%29%29=%28-3x-5%29%5E2-4 Plug in f(x) = -3x-5

g%28f%28x%29%29=%289x%5E2-30x%2B25%29-4 FOIL

g%28f%28x%29%29=9x%5E2-30x%2B25-4

g%28f%28x%29%29=9x%5E2-30x%2B21 Combine like terms