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

Question

Quizplus · Accepted Answer

Function $f(x) = x + 10$ adds 10 to its input, and function $g(x) = \frac{10}{x^2}$ computes the fraction $\frac{10}{x^2}$. When $g(x)$ is input into $f(x)$, the result is $f(g(x)) = \frac{10}{x^2} + 10$, which matches $h(x)$.

Consider the Function H as Defined (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x)

Consider the Function H as Defined $( f \circ g ) ( x ) = h ( x )$