For the given function $g(x)$, find a function $f(x)$ such that $(f \circ g)(x)=x$.
-$g(x)=x+5$
A) $f(x)=5 x$
B) $f(x)=x-5$
C) $f(x)=x+5$
D) $f(x)=\frac{x}{5}$

Question

Quizplus · Accepted Answer

For $f(x)$ to be the correct function, applying $f$ after $g$ should return the original input $x$. Since $g(x) = x + 5$, to reverse this operation and get back $x$, we need to subtract 5, making $f(x) = x - 5$ the correct choice.

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