Express the given function as a composite of functions f and g such that y = f(g(x)).
-$y = \frac { 1 } { x ^ { 2 } - 7 }$
A) $f ( x ) = \frac { 1 } { x ^ { 2 } } , g ( x ) = x - 7$
B) $f ( x ) = \frac { 1 } { x } , g ( x ) = x ^ { 2 } - 7$
C) $f ( x ) = \frac { 1 } { x ^ { 2 } } , g ( x ) = - \frac { 1 } { 7 }$
D) $f ( x ) = \frac { 1 } { 7 } , g ( x ) = x ^ { 2 } - 7$

Question

Quizplus · Accepted Answer

Let $g(x) = x^2 - 7$ and $f(x) = \dfrac{1}{x}$. Then $f(g(x)) = f(x^2-7) = \dfrac{1}{x^2-7}$.

Express the Given Function as a Composite of Functions F y=1x2−7y = \frac { 1 } { x ^ { 2 } - 7 }y=x2−71​

Express the Given Function as a Composite of Functions F $y = \frac { 1 } { x ^ { 2 } - 7 }$