For the given functions f and g , find the indicated composition.
-$$f ( x ) = \frac { x - 10 } { 7 } , \quad g ( x ) = 7 x + 10$$
$( g \circ f ) ( x )$
A) $x$
B) $x - \frac { 10 } { 7 }$
C) $x + 20$
D) $7 x + 60$

Question

Quizplus · Accepted Answer

The composition $(g \circ f)(x)$ means applying $f$ first and then $g$ to the result. So, $g(f(x)) = g\left(\frac{x - 10}{7}\right) = 7\left(\frac{x - 10}{7}\right) + 10 = x - 10 + 10 = x$.

For the Given Functions F and G , Find the Indicated