Results 1 to 2 of 2

Math Help - fraction with root

  1. #1
    DBA
    DBA is offline
    Member
    Joined
    May 2009
    Posts
    129

    fraction with root

    Given f(x)= [sqrt(x^2 +1) + x] / x and x>0

    Solution is f(x) = sqrt[1 + (1/x^2)] +1

    Can someone show we the way how to get there?

    I did:

    f(x)= [sqrt(x^2 +1) + x] / x

    = sqrt(x^2 +1) /x + x/x

    = sqrt(x^2 +1) /x + 1

    But I stuck with the first term.
    Thanks for any help
    Last edited by DBA; October 26th 2009 at 01:46 PM. Reason: additional information
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    11
    Awards
    1
    Quote Originally Posted by DBA View Post
    Given f(x)= [sqrt(x^2 +1) + x] / x

    Solution is f(x) = sqrt[1 + (1/x^2)] +1

    Can someone show we the way how to get there?

    I did:

    f(x)= [sqrt(x^2 +1) + x] / x

    = sqrt(x^2 +1) /x + x/x

    = sqrt(x^2 +1) /x + 1

    But I stuck with the first term.
    Thanks for any help
    Hi DBA,

    A little messy, but here goes:

    f(x)=\frac{\sqrt{x^2+1}+x}{x}


    f(x)=\frac{\sqrt{x^2+1}}{x}+\frac{x}{x}


    f(x)=\frac{\sqrt{x^2+1}}{x}+1

    f(x)=\sqrt{\frac{x^2+1}{x^2}}+1

    f(x)=\sqrt{\frac{x^2}{x^2}+\frac{1}{x^2}}+1

    f(x)=\sqrt{1+\frac{1}{x^2}}+1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Fraction integrand with square root
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 18th 2010, 06:17 AM
  2. Fraction inside a square root. need some help
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 23rd 2010, 07:53 PM
  3. root fraction
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: December 19th 2009, 04:14 AM
  4. Square Root as a fraction?
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: December 9th 2009, 06:53 AM
  5. Simplyfying fraction with square root
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 19th 2009, 10:14 PM

Search Tags


/mathhelpforum @mathhelpforum