$\text { Let } f ( x ) = 4 x - 2 \text { and } g ( x ) = x ^ { 3 } \text {. Find the limit. }$ $\lim _ { x \rightarrow 1 } g ( f ( x ) )$
A) 2
B) 1
C) 8
D) $- 8$
E) $- 4$

Question

Quizplus · Accepted Answer

To find the limit of $g(f(x))$ as $x$ approaches 1, first substitute $f(x) = 4x - 2$ into $g(x) = x^3$, resulting in $g(f(x)) = (4x - 2)^3$. Evaluating this at $x = 1$, we get $(4(1) - 2)^3 = (4 - 2)^3 = 2^3 = 8$.

Let f(x)=4x−2 and g(x)=x3. Find the limit. \text { Let } f ( x ) = 4 x - 2 \text { and } g ( x ) = x ^ { 3 } \text {. Find the limit. } Let f(x)=4x−2 and g(x)=x3. Find the limit.

$\text { Let } f ( x ) = 4 x - 2 \text { and } g ( x ) = x ^ { 3 } \text {. Find the limit. }$