1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Solve the equation

  1. Sep 18, 2010 #1
    1. The problem statement, all variables and given/known data
    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

    2. Relevant equations

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

    3. 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.
  2. jcsd
  3. Sep 19, 2010 #2


    User Avatar
    Homework Helper

    I'll assume the question instead means find the range of the function for the domain 0<x<1.

    Are you allowed to use calculus?

    I would start by finding the limit of y as x approaches 0+ and find y when x=1. If you can't use calculus then it will probably suffice to just explain that as x increases in that interval, y is always decreasing. This is enough information to give the range.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook