g(x)= 3^2x-3 - 2

You should include parentheses to clarify what the equaton is. What you wrote is:


g(x) = 3^2 x - 3- 2


I wonder if what you meant is:


g(x) = 3^{(2x-3)} -2


Please confirm.

Also, rather than just posting the problem you should show us how far you got in trying to solve this yourself. Then we can help get you back on track.