Hello my friends, I need help with this short problem.
Suppose f(x) = 3^x
1. Find all asymptotes of f.
2.Sketch the graph of f^-1 (f inverse) and label all asymptotes and important points
3. Estimate the value of x where f(x) = 24
Thanks
You have a problem with that answer? He has already told you how to do that. He told you "If you know the basic properties of the exponential functions, then no, you don't need to graph." Clearly you do not or you would have realized immediately that there are no vertical asymptotes and that the only horizontal aysmptote is at x= 0. That was why he suggested graphing.
And the second part of the problem was to graph and find the asymptotes of the inverse function. The graph of the inverse function is the graph of the function itself reflected about the line y= x. And you can get its only asymptote from that.