Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x).
-$$h ( x ) = \frac { 9 } { \sqrt { 10 x + 7 } }$$
A) $f ( x ) = \frac { 9 } { \sqrt { x } } , g ( x ) = 10 x + 7$
B) $f ( x ) = \sqrt { 10 x + 7 } , g ( x ) = 9$
C) $f ( x ) = 9 , g ( x ) = \sqrt { 10 + 7 }$
D) $f ( x ) = \frac { 9 } { x } , g ( x ) = 10 x + 7$

Question

Quizplus · Accepted Answer

The correct choice is A because when you apply g(x) = 10x + 7 first and then apply f(x) = 9 / sqrt(x) to the result, you get h(x) = 9 / sqrt(10x + 7), which matches the given function h(x).

Consider the Function H as Defined h(x)=910x+7h ( x ) = \frac { 9 } { \sqrt { 10 x + 7 } }h(x)=10x+7​9​

Consider the Function H as Defined $h ( x ) = \frac { 9 } { \sqrt { 10 x + 7 } }$