Find f(x)and g(x)such that h(x)= (f ° g)(x).
-$$h ( x ) = \frac { 8 } { x ^ { 2 } } + 7$$
A) $f ( x ) = \frac { 8 } { x ^ { 2 } } , g ( x ) = 7$
B) $f ( x ) = x , g ( x ) = \frac { 8 } { x } + 7$
C) $f ( x ) = x + 7 , g ( x ) = \frac { 8 } { x ^ { 2 } }$
D) $f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 8 } { x } + 7$

Question

Quizplus · Accepted Answer

The correct choice is C because $f(g(x)) = f\left(\frac{8}{x^2}\right) = \frac{8}{x^2} + 7$, which matches the given $h(x)$. This means $f(x) = x + 7$ and $g(x) = \frac{8}{x^2}$.

Find F(x)and G(x)such That H(x)= (F ° G)(x) h(x)=8x2+7h ( x ) = \frac { 8 } { x ^ { 2 } } + 7h(x)=x28​+7

Find F(x)and G(x)such That H(x)= (F ° G)(x) $h ( x ) = \frac { 8 } { x ^ { 2 } } + 7$