Perform the requested operation or operations.
-$$f ( x ) = x ^ { 2 } + 9 ; g ( x ) = \sqrt { x - 1 }$$
Find $g ( f ( x ) )$.
A) $g ( f ( x ) ) = ( \sqrt { x - 1 } ) \left( x ^ { 2 } + 9 \right)$
B) $g ( f ( x ) ) = \sqrt { x ^ { 2 } + 8 }$
C) $g ( f ( x ) ) = \frac { \sqrt { x - 1 } } { x ^ { 2 } + 9 }$
D) $g ( f ( x ) ) = x + 8$

Question

Quizplus · Accepted Answer

To find $g(f(x))$, substitute $f(x) = x^2 + 9$ into $g(x) = \sqrt{x - 1}$, resulting in $g(f(x)) = \sqrt{(x^2 + 9) - 1} = \sqrt{x^2 + 8}$.

Perform the Requested Operation or Operations f(x)=x2+9;g(x)=x−1f ( x ) = x ^ { 2 } + 9 ; g ( x ) = \sqrt { x - 1 }f(x)=x2+9;g(x)=x−1​

Perform the Requested Operation or Operations $f ( x ) = x ^ { 2 } + 9 ; g ( x ) = \sqrt { x - 1 }$