Find f(x)and g(x)such that h(x)= (f ° g)(x).
-$$h ( x ) = \frac { 6 } { \sqrt { 10 x + 7 } }$$
A) $f ( x ) = 6 , g ( x ) = \sqrt { 10 + 7 }$
B) $f ( x ) = \sqrt { 10 x + 7 } , g ( x ) = 6$
C) $f ( x ) = \frac { 6 } { \sqrt { x } } , g ( x ) = 10 x + 7$
D) $f ( x ) = \frac { 6 } { x } , g ( x ) = 10 x + 7$

Question

Quizplus · Accepted Answer

The correct choice is C because $f(g(x)) = \frac{6}{\sqrt{g(x)}}$ and if $g(x) = 10x + 7$, then $f(g(x)) = \frac{6}{\sqrt{10x + 7}}$, which matches the given $h(x)$.

Find F(x)and G(x)such That H(x)= (F ° G)(x) h(x)=610x+7h ( x ) = \frac { 6 } { \sqrt { 10 x + 7 } }h(x)=10x+7​6​

Find F(x)and G(x)such That H(x)= (F ° G)(x) $h ( x ) = \frac { 6 } { \sqrt { 10 x + 7 } }$