The inverse of this function is y =

You can find the inverse of any function by switching the x and y values. Once you've done that, you can solve for the new y. The result will be the inverse of the function. The work for this one is below.
y =
----> Switch the x and y
x =
-----> Add 9 to both sides
x + 9 =
----> Take the natural log (ln) of both sides. This will case the e to cancel on the right side.
ln(x + 9) = 2y ----> Divide both sides by 2.
y =

This will be your inverse function.