For the given functions f and g, find the requested composite function.
-$f ( x ) = \frac { 5 } { x - 8 } , g ( x ) = \frac { 8 } { 5 x } ; \quad$ Find the function $f \circ g$.
A) $\frac { 25 x } { 8 - 40 x }$
B) $\frac { 5 x } { 8 - 40 x }$
C) $\frac { 25 x } { 8 + 40 x }$
D) $\frac { 8 x - 64 } { 25 x }$

Question

Quizplus · Accepted Answer

To find $f \circ g$, we substitute $g(x)$ into $f(x)$: $f(g(x)) = f\left(\frac{8}{5x}\right) = \frac{5}{\frac{8}{5x} - 8} = \frac{5}{\frac{8 - 40x}{5x}} = \frac{25x}{8 - 40x}$.

For the Given Functions F and G, Find the Requested f(x)=5x−8,g(x)=85x;f ( x ) = \frac { 5 } { x - 8 } , g ( x ) = \frac { 8 } { 5 x } ; \quadf(x)=x−85​,g(x)=5x8​;

For the Given Functions F and G, Find the Requested $f ( x ) = \frac { 5 } { x - 8 } , g ( x ) = \frac { 8 } { 5 x } ; \quad$