Question

Given the definitions of f(x) and g(x) below, find the value of (gºf)(-5).

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f(x) = x2 + 6x + 3
g(x) = 2x + 8
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Answer 1

(g ￮ f)(- 5) = 4

Explanation:

evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then

g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4

(g ￮ f)(- 5) = 4