Provide an appropriate response.
-If $f ( x ) = x , g ( x ) = x - 1$, and $h ( x ) = x ^ { 2 } - 5 x + 5$, find the composition $( g \circ f ) ( x )$.
A) $x ^ { 2 } - 5 x + 5$
B) $x - 1$
C) $x ^ { 2 } - 1 x$
D) $- 1$

Question

Quizplus · Accepted Answer

The composition $(g \circ f)(x)$ means applying $f$ first and then $g$. Since $f(x) = x$, applying $g$ on $f(x)$ gives $g(f(x)) = g(x) = x - 1$.

Provide an Appropriate Response f(x)=x,g(x)=x−1f ( x ) = x , g ( x ) = x - 1f(x)=x,g(x)=x−1

Provide an Appropriate Response $f ( x ) = x , g ( x ) = x - 1$