Perform the requested operation or operations.
-$$f ( x ) = f ( x ) = \frac { 1 } { x - 4 } ; g ( x ) = \sqrt { x }$$
Find $g ( f ( x ) )$.
A) $g ( f ( x ) ) = \frac { \sqrt { x } } { x - 4 }$
B) $g ( f ( x ) ) = ( x - 4 ) \sqrt { x }$
C) $g ( f ( x ) ) = \sqrt { \frac { 1 } { x - 4 } }$
D) $g ( f ( x ) ) = \frac { 1 } { \sqrt { x } - 4 }$

Question

Quizplus · Accepted Answer

To find $g(f(x))$, substitute $f(x) = \frac{1}{x-4}$ into $g(x) = \sqrt{x}$, resulting in $g(f(x)) = \sqrt{\frac{1}{x-4}}$.

Perform the Requested Operation or Operations f(x)=f(x)=1x−4;g(x)=xf ( x ) = f ( x ) = \frac { 1 } { x - 4 } ; g ( x ) = \sqrt { x }f(x)=f(x)=x−41​;g(x)=x​

Perform the Requested Operation or Operations $f ( x ) = f ( x ) = \frac { 1 } { x - 4 } ; g ( x ) = \sqrt { x }$