Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x).
-$$h ( x ) = \frac { 10 } { x ^ { 2 } } + 7$$
A) $f ( x ) = \frac { 1 } { x } , g ( x ) = \frac { 10 } { x } + 7$
B) $f ( x ) = x + 7 , g ( x ) = \frac { 10 } { x ^ { 2 } }$
C) $ f ( x ) = \frac { 10 } { x ^ { 2 } } , g ( x ) = 7$
D) $f ( x ) = x , g ( x ) = \frac { 10 } { x } + 7$

Question

Quizplus · Accepted Answer

The correct choice is B because when you apply g(x) first, you get $\frac{10}{x^2}$, and then applying f(x) to this result, you add 7, which matches the original function $h(x) = \frac{10}{x^2} + 7$.

Consider the Function H as Defined h(x)=10x2+7h ( x ) = \frac { 10 } { x ^ { 2 } } + 7h(x)=x210​+7

Consider the Function H as Defined $h ( x ) = \frac { 10 } { x ^ { 2 } } + 7$