Find the requested composition of functions.
-Given $f ( x ) = \frac { x - 7 } { 10 }$ and $g ( x ) = 10 x + 7$, find $( g \circ f ) ( x )$
A) $x + 14$
B) $x$
C) $x - \frac { 7 } { 10 }$
D) $10 x + 63$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, we first apply $f(x)$ and then apply $g(x)$ to the result of $f(x)$. Substituting $f(x) = \frac{x - 7}{10}$ into $g(x) = 10x + 7$, we get $g(f(x)) = 10\left(\frac{x - 7}{10}\right) + 7 = x - 7 + 7 = x$.

Find the Requested Composition of Functions f(x)=x−710f ( x ) = \frac { x - 7 } { 10 }f(x)=10x−7​

Find the Requested Composition of Functions $f ( x ) = \frac { x - 7 } { 10 }$