Question

Inverse Functions Help Algebra 2

Answer 1

The composition of the functions is is applying one function to the results of another. Then $(g\circ f)(x)=g(f(x))$.

If $f(x)=\dfrac{1}{x}$, then

$g(f(x))=g\left(\dfrac{1}{x}\right)$.

If $g(x)=\dfrac{1}{x}$, then

$g(f(x))=g\left(\dfrac{1}{x}\right)=\dfrac{1}{\frac{1}{x}}=x$.

Answer: $(g\circ f)(x)=x$.