Results 1 to 3 of 3

Math Help - Inverse Function

  1. #1
    Newbie
    Joined
    Aug 2008
    From
    Butler, NJ
    Posts
    18

    Inverse Function

    If f(x) = the cube root of 2x - 3,

    how do I find f^-1 (x)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    y=\sqrt[3]{2x-3}=(2x-3)^{1/3}

    Put everything to the power 3, so that it simplifies with 1/3 (recall (a^b)^c=a^{bc})

    so y^3=2x-3

    and... x=\tfrac{y^3+3}{2}=f^{-1}(y)

    does it look clear to you ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2008
    From
    Butler, NJ
    Posts
    18
    Yes, so much clearer. Silly mistake I just realized I made. Thanks!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. function composition and inverse function
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: November 10th 2009, 12:18 PM
  2. Replies: 2
    Last Post: October 19th 2009, 02:47 AM
  3. Replies: 2
    Last Post: September 22nd 2009, 08:29 PM
  4. Replies: 0
    Last Post: July 19th 2008, 08:06 PM
  5. Replies: 4
    Last Post: March 17th 2008, 09:45 PM

Search Tags


/mathhelpforum @mathhelpforum