Perform the requested operation or operations.
-$$f ( x ) = \sqrt { x + 2 } ; g ( x ) = 8 x - 6$$
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) $f ( g ( x ) ) = 8 \sqrt { x + 2 } - 6$

Question

Quizplus · Accepted Answer

To find $f(g(x))$, substitute $g(x) = 8x - 6$ into $f(x) = \sqrt{x + 2}$. This gives $f(g(x)) = \sqrt{(8x - 6) + 2} = \sqrt{8x - 4} = \sqrt{4(2x - 1)} = 2\sqrt{2x - 1}$.

Perform the Requested Operation or Operations f(x)=x+2;g(x)=8x−6f ( x ) = \sqrt { x + 2 } ; g ( x ) = 8 x - 6f(x)=x+2​;g(x)=8x−6

Perform the Requested Operation or Operations $f ( x ) = \sqrt { x + 2 } ; g ( x ) = 8 x - 6$