# Math Help - composite functions

1. ## composite functions

Let
${f{{\left({x}\right)}}}=\frac{{1}}{{5}}{x}+{9},\quad-{3}\le{x}\le{3}$

The domain of ${{f}}^{{-{1}}}$ is the interval ${\left[{A},{B}\right]}$

so far I found the inverse to be y=5x-45... just having trouble with the domain.

2. Originally Posted by xsavethesporksx
Let
${f{{\left({x}\right)}}}=\frac{{1}}{{5}}{x}+{9},\quad-{3}\le{x}\le{3}$

The domain of ${{f}}^{{-{1}}}$ is the interval ${\left[{A},{B}\right]}$

so far I found the inverse to be y=5x-45... just having trouble with the domain.
The domain of $f^{-1}$ is the same as the range of $f$.

3. ARGHHH!!! yes~!!! thank you for that reminder