If f(x) = -x + 4 and g(x) = x^2 - 5, then f(g(-2)) = ? A) -5 B) -1 C) 5 D) 13 E) 31

asked Jun 15, 2020 105k views

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If f(x) = -x + 4 and g(x) = x^2 - 5, then f(g(-2)) = ?

A) -5
B) -1
C) 5
D) 13
E) 31

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2 votes

Answer:

C) 5

Explanation:

$g(-2) = {[-2]}^(2) - 5 = 4 - 5 = -1 \\ \\ f(-1) = -[-1] + 4 = 1 + 4 = 5 \\ \\ 5 = f(g(-2))$

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Maba answered Jun 21, 2020

by Maba

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