Hi, I had two question assigned to me, both of which stumped me if some one would help it would be great.

Sketch a graph of the following and then fill in the table below:

f(x)=3x

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

h(x)=g-1(x)

Now i cant sketch them but for f and g i sketch them by imputing values for x and graph but for H I don't know how to graph that? it seems like a inverse function of G(x) but i cant quiet wrap my head around it.

The table asks for each function state

1) domain - All real numbers

2)range - All real numbers

3)asymptotes- i wrote no asymptotes for any

4)y intercept - 1)x=0 2)x=0.5 3) didn't get this far

5)x intercept - didn't get this far

Thanks in advance!