precal help needed: see attachment

Question

cloverracer · Answer

attachment

mathmale · Answer

First:  Determine whether the first graph even has an inverse.
Second:  If it does, explain how you'd find the inverse graphically.
If it doesn't, explain why.

cloverracer · Answer

I'm not sure how to determine if the graph has an inverse

cloverracer · Answer

But i'm going to guess no because comparing to h & g, f does not have an inverse?

mathmale · Answer

Use the horizontal line test to determine whether or not the function has an inverse.  If you're not familiar with that test, please Google it.

mathmale · Answer

"But i'm going to guess no because comparing to h & g, f does not have an inverse?"  Risky approach.  Think again.

cloverracer · Answer

Yes it is a function because it passed the horizontal line test

danjs · Answer

remember calculating inverses of functions f(x), you switched the variables around y and x and solved for y again?

by doing this , swapping y and x values, you really are reflecting the graph of the function over the diagonal line y = x

danjs · Answer

If you draw, or imagine the line y=x on the graph... you see f and g are mirrored or reflected over that line