Use $f ( x ) = x - 2$ and $g ( x ) = 4 - 2 x ^ { 2 }$ to evaluate the expression $g ( f ( 0 ) )$ .
A) $- 3$
B) $- 2$
C) $- 4$
D) $0$
E) $1$

Name: Use $f ( x ) = x - 2$ and $g ( x ) = 4 - 2 x ^ { 2 }$ to evaluate the expression $g ( f ( 0 ) )$ . A) $- 3$ B) $- 2$ C) $- 4$ D) $0$ E) $1$
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Question

Quizplus · Accepted Answer

We start by evaluating f(0) which gives,
f(0) = 0 - 2 = -2
Now we substitute this value in g(x) which gives,
g(f(0)) = g(-2) = 4 - 2(-2)^2 = 4 - 2(4) = -4
Therefore, the answer is C.

Use f(x)=x−2f ( x ) = x - 2f(x)=x−2 And g(x)=4−2x2g ( x ) = 4 - 2 x ^ { 2 }g(x)=4−2x2

Use $f ( x ) = x - 2$ And $g ( x ) = 4 - 2 x ^ { 2 }$