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## Homework Statement

Hello, I'm having some trouble with the following problem:

Solve y = x+[tex]\frac{1}{x}[/tex] for 0 < x [tex]\leq[/tex] 1

## Homework Equations

y = x+[tex]\frac{1}{x}[/tex] for 0 < x [tex]\leq[/tex] 1

## The Attempt at a Solution

I am not sure on how to start. I've spent a lot of time thinking about how to this problem, but have had no luck. The only thing comes to mind is that y = [tex]\frac{x}{x}[/tex] + [tex]\frac{1}{x}[/tex] = 1. This solution seems to trivial; I would greatly appreciate any help.

Thank you.