Graphing Exponents and logs.

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!

Re: Graphing Exponents and logs.

You can rewrite h(x) so that it doesn't contain g.

When sketching h(x) it is similar to your graph of g(x) but just subtracting x, redraw your sketch of g(x) but subtracting larger values of x as you move long the real line.

The y intercept occurs at x=0, your intercept for g(x) is incorrect.

The x intercept occurs at y=0, the x intercept might not exist, you can tell from your sketches.

Re: Graphing Exponents and logs.

My mistake, H(x) = (g^-1)(x) not g-1(x)

Re: Graphing Exponents and logs.

Anyone? how do i do this is its ^ the above comment

Re: Graphing Exponents and logs.