Express the given function as a composite of functions f and g such that y $$y = f ( g ( x ) )$$
-$$y = ( - 3 x + 18 ) ^ { 8 }$$
A) $f ( x ) = - 3 x ^ { 8 } , g ( x ) = x + 18$
B) $f ( x ) = ( - 3 x ) ^ { 8 } , g ( x ) = 18$
C) $f ( x ) = - 3 x + 18 , g ( x ) = x ^ { 8 }$
D) $f ( x ) = x ^ { 8 } , g ( x ) = - 3 x + 18$

Question

Quizplus · Accepted Answer

We can express the given function y as:

$$y = ( - 3 x + 18 ) ^ { 8 } = ( g ( x ) ) ^ 8$$

where

$$g ( x ) = - 3 x + 18$$

Now, if we define

$$f ( x ) = x ^ 8$$

then we can write

$$y = f ( g ( x ) )$$

Therefore, the correct choice is D.

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 $y = f ( g ( x ) )$