$\text { Let } f ( x ) = - x ^ { 2 } - 5 \text { and } g ( x ) = 2 x \text {. Find the limit }$ $\lim _ { x \rightarrow - 2 } g ( f ( x ) )$
A) $- 18$
B) 25
C) 21
D) 8
E) 9

Question

Quizplus · Accepted Answer

First, substitute $f(x) = -x^2 - 5$ into $g(x) = 2x$, resulting in $g(f(x)) = 2(-x^2 - 5)$. Then, substitute $x = -2$ into this expression to get $2(-(-2)^2 - 5) = 2(-4 - 5) = 2(-9) = -18$.

Let f(x)=−x2−5 and g(x)=2x. Find the limit \text { Let } f ( x ) = - x ^ { 2 } - 5 \text { and } g ( x ) = 2 x \text {. Find the limit } Let f(x)=−x2−5 and g(x)=2x. Find the limit

$\text { Let } f ( x ) = - x ^ { 2 } - 5 \text { and } g ( x ) = 2 x \text {. Find the limit }$