Find the requested composition of functions.
-Given $f ( x ) = \frac { x - 9 } { 7 }$ and $g ( x ) = 7 x + 9$, find $g \circ f ( x )$
A) $x$
B) $x + 18$
C) $x - \frac { 9 } { 7 }$
D) $7 x + 54$

Question

Quizplus · Accepted Answer

To find $g \circ f ( x )$, we substitute $f(x)$ into $g(x)$: $g(f(x)) = g\left(\frac{x - 9}{7}\right) = 7\left(\frac{x - 9}{7}\right) + 9 = x - 9 + 9 = x$.

Find the Requested Composition of Functions f(x)=x−97f ( x ) = \frac { x - 9 } { 7 }f(x)=7x−9​

Find the Requested Composition of Functions $f ( x ) = \frac { x - 9 } { 7 }$