Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

Answer 1

\[f(x)= \frac{ 8 }{ x }\]
and
\[g(x)= \frac{ 8 }{ x }\]

Answer 2

holdup

Answer 3

Plug in \(\sf \dfrac{8}{x}\) for \(\sf x\) in \(\sf f(x)\).

Answer 4

\[f(g(x))=\frac{ 8 }{ (\frac{ 8 }{ x }) }= 8 \times \frac{ x }{ 8 }\]

Answer 5

And vice versa.