Find f(x) and g(x) so that the given function h(x) = (f ° g)(x).
-$$h ( x ) = \frac { 1 } { x + 5 }$$
A) $f ( x ) = \frac { 1 } { x - 1 } ; g ( x ) = x + 5$
B) $f ( x ) = x + 5 ; g ( x ) = \frac { 1 } { x }$
C) $f ( x ) = \frac { 5 } { x } ; g ( x ) = x - 1$
D) $f ( x ) = \frac { 1 } { x } ; g ( x ) = x + 5$

Question

Quizplus · Accepted Answer

The correct choice is D because when $g(x) = x + 5$ is substituted into $f(x) = \frac{1}{x}$, the composition $f(g(x)) = \frac{1}{x + 5}$ matches the given function $h(x)$.

Find F(x) and G(x) So That the Given Function H(x) h(x)=1x+5h ( x ) = \frac { 1 } { x + 5 }h(x)=x+51​

Find F(x) and G(x) So That the Given Function H(x) $h ( x ) = \frac { 1 } { x + 5 }$