Given the definitions of f(x) and g(x) below, find the value of g(f(-1)). f(x) = -4x – 7 g(x) = x² + 7x

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Given the definitions of f(x) and g(x) below, find the value of g(f(-1)). f(x) = -4x – 7 g(x) = x² + 7x – 2

asked Apr 23, 2022 139k views

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Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).

f(x) = -4x – 7
g(x) = x² + 7x – 2

Mathematics
college

Grzegorz Bokota asked

by Grzegorz Bokota

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1 Answer

3 votes

Answer:

-14

Explanation:

$f(x) = -4x – 7 \\ plug \: x = - 1 \\ f( - 1) = - 4( - 1) - 7 = 4 - 7 = - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) = {( - 3)}^(2) + 7( - 3) - 2 \\ = 9 - 21 - 2 \\= - 14$

Stefan Sprenger answered Apr 30, 2022

by Stefan Sprenger

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