Express the given function as a composite of functions f and g such that y $$y = f ( g ( x ) )$$
-$$y = \frac { 8 } { \sqrt { 5 x + 1 } }$$
A) $f ( x ) = \frac { 8 } { x } , g ( x ) = 5 x + 1$
B) $f ( x ) = \sqrt { 5 x + 1 } , g ( x ) = 8$
C) $f ( x ) = \frac { 8 } { \sqrt { x } } , g ( x ) = 5 x + 1$
D) $f ( x ) = 8 , g ( x ) = \sqrt { 5 + 1 }$

Question

Quizplus · Accepted Answer

The correct composite function is $f(g(x))$ where $g(x) = 5x + 1$ is the inner function that first modifies $x$, and then $f(x) = \frac{8}{\sqrt{x}}$ is the outer function that takes the result of $g(x)$ and applies the final operation.

Express the Given Function as a Composite of Functions F y=f(g(x))y = f ( g ( x ) )y=f(g(x))

Express the Given Function as a Composite of Functions F $y = f ( g ( x ) )$