For the given functions f and g, find the requested composite function value.
-$f ( x ) = 5 x + 8 , \quad g ( x ) = - 1 / x ; \quad$ Find $( g \circ f ) ( 3 )$.
A) $- \frac { 1 } { 23 }$
B) $\frac { 19 } { 3 }$
C) $\frac { 68 } { 3 }$
D) $- \frac { 23 } { 3 }$

Question

Quizplus · Accepted Answer

First, find $f(3) = 5(3) + 8 = 15 + 8 = 23$. Then, $g(f(3)) = g(23) = -\frac{1}{23}$.

For the Given Functions F and G, Find the Requested f(x)=5x+8,g(x)=−1/x;f ( x ) = 5 x + 8 , \quad g ( x ) = - 1 / x ; \quadf(x)=5x+8,g(x)=−1/x;

For the Given Functions F and G, Find the Requested $f ( x ) = 5 x + 8 , \quad g ( x ) = - 1 / x ; \quad$