Perform the requested operation or operations.
-$f ( x ) = \sqrt { x + 4 } ; g ( x ) = 8 x - 8$, find $f ( g ( x ) )$.
A) $f ( g ( x ) ) = 2 \sqrt { 2 x - 1 }$
B) $f ( g ( x ) ) = 8 \sqrt { x - 4 }$
C) $f ( g ( x ) ) = 2 \sqrt { 2 x + 1 }$
D) $f ( g ( x ) ) = 8 \sqrt { x + 4 } - 8$

Question

Quizplus · Accepted Answer

To find $f(g(x))$, substitute $g(x) = 8x - 8$ into $f(x) = \sqrt{x + 4}$. This gives $f(g(x)) = \sqrt{(8x - 8) + 4} = \sqrt{8x - 4} = \sqrt{4(2x - 1)} = 2\sqrt{2x - 1}$.

Perform the Requested Operation or Operations f(x)=x+4;g(x)=8x−8f ( x ) = \sqrt { x + 4 } ; g ( x ) = 8 x - 8f(x)=x+4​;g(x)=8x−8

Perform the Requested Operation or Operations $f ( x ) = \sqrt { x + 4 } ; g ( x ) = 8 x - 8$