Express the given function as a composite of functions f and g such that y = f(g(x)).
-$y = \frac { 1 } { x ^ { 2 } } + 8$
A) $f ( x ) = x + 8 , g ( x ) = \frac { 1 } { x ^ { 2 } }$
B) $f ( x ) = x , g ( x ) = \frac { 1 } { x } + 8$
C) $f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 1 } { x } + 8$
D) $f ( x ) = \frac { 1 } { x ^ { 2 } } , g ( x ) = 8$

Question

Quizplus · Accepted Answer

To express $y = \frac { 1 } { x ^ { 2 } } + 8$ as a composite of two functions, $f(g(x))$, we can identify $g(x) = \frac { 1 } { x ^ { 2 } }$ as the inner function that first operates on $x$, and then $f(x) = x + 8$ as the outer function that adds 8 to the result of $g(x)$. This matches option A.

Express the Given Function as a Composite of Functions F y=1x2+8y = \frac { 1 } { x ^ { 2 } } + 8y=x21​+8

Express the Given Function as a Composite of Functions F $y = \frac { 1 } { x ^ { 2 } } + 8$