# Homework Help: Finding intersection between exponential and inverse function

1. Nov 30, 2011

### anonymous12

1. The problem statement, all variables and given/known data

Given the exponential function and its inverse, where a > 0
Exponential Function:
$$f(x)=a^x$$
Inverse function:
$$f^{-1}(x)=log_ax$$

a) For what values of a do the graphs of f(x)=a^x and f^(-1)(x) intersect?

3. The attempt at a solution
I have no idea how to start this question.

Off topic: How do I make is so I can type a sentence and LaTeX on the same line?

2. Nov 30, 2011

### Staff: Mentor

The graphs of y = f(x) and y = f-1(x) are reflections of each other across the line y = x. Think about what the graphs of your two functions look like, especially in relation to the line y = x.

You can have text and LaTeX on the same line if you use [ itex ] and [ /itex ] tags (no spaces).