Perform the requested operation or operations.
-$$f ( x ) = \frac { 1 } { x - 6 } ; g ( x ) = \sqrt { x }$$
Find $f ( g ( x ) )$.
A) $f ( g ( x ) ) = ( x - 6 ) \sqrt { x }$
B) $f ( g ( x ) ) = \frac { \sqrt { x } } { x - 6 }$
C) $f ( g ( x ) ) = \frac { 1 } { \sqrt { x } - 6 }$
D) $f ( g ( x ) ) = \sqrt { \frac { 1 } { x - 6 } }$

Question

Quizplus · Accepted Answer

To find $f(g(x))$, substitute $g(x) = \sqrt{x}$ into $f(x) = \frac{1}{x-6}$, resulting in $f(g(x)) = \frac{1}{\sqrt{x}-6}$.

Perform the Requested Operation or Operations f(x)=1x−6;g(x)=xf ( x ) = \frac { 1 } { x - 6 } ; g ( x ) = \sqrt { x }f(x)=x−61​;g(x)=x​

Perform the Requested Operation or Operations $f ( x ) = \frac { 1 } { x - 6 } ; g ( x ) = \sqrt { x }$