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## Homework Statement

Find a section of the graph that is one-to-one and find the inverse of the graph for that domain.

## The Attempt at a Solution

Well I've set the domain to all real numbers greater than 0. This makes the function one to one right?

Now how do you find the inverse of the function? I know you isolate for x then switch x and y but I can't seem to isolate for x...

I get stuck at

xy-x

^{2}=1

I'm pretty sure the inverse should be

1/2(x±√x

^{2}-4) Based on the quadratic equation, but how do I account for my domain restriction? This inverse function is not one-to-one...

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