For the given functions f and g, find the requested composite function.
-$f ( x ) = \frac { x - 5 } { 8 } , g ( x ) = 8 x + 5 ; \quad$ Find the function $g$ of.
A) $x + 10$
B) $x - \frac { 5 } { 8 }$
C) $8 x + 35$
D) $x$

Question

Quizplus · Accepted Answer

The composite function $g(f(x))$ is found by substituting $f(x)$ into $g(x)$. Given $f(x) = \frac{x - 5}{8}$, substituting into $g(x) = 8x + 5$ gives $g(f(x)) = 8\left(\frac{x - 5}{8}\right) + 5 = x - 5 + 5 = x$.

For the Given Functions F and G, Find the Requested f(x)=x−58,g(x)=8x+5;f ( x ) = \frac { x - 5 } { 8 } , g ( x ) = 8 x + 5 ; \quadf(x)=8x−5​,g(x)=8x+5;

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