Answer
$t=\frac{9}{5} H+32 $ gives us the temperature in degrees Fahrenheit if we know the temperature in degrees Celsius.
Work Step by Step
We can find the inverse function by solving for $t$ in our equation:
$$
\begin{aligned}
H & =\frac{5}{9}(t-32) \\
\frac{9}{5} H & =t-32 \\
t& =\frac{9}{5} H+32
\end{aligned}
$$
$t=\frac{9}{5} H+32 $ gives us the temperature in degrees Fahrenheit if we know the temperature in degrees Celsius.