Results 1 to 2 of 2

Math Help - Quadratic Function

  1. #1
    Junior Member
    Joined
    Sep 2009
    From
    Russia
    Posts
    47

    Quadratic Function

    Hey guys,

    "Find a function g(x) such that fog(x) is a quadratic function"

    f(x) = (1+x)^1/2 - 2

    (which would be square root (1+x)) - 2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19
    Quote Originally Posted by goliath View Post
    Hey guys,

    "Find a function g(x) such that fog(x) is a quadratic function"

    f(x) = (1+x)^1/2 - 2

    (which would be square root (1+x)) - 2
    I think this would work.

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

    Let: g(x)=x^4-1

    (f\circ g)(x)=\sqrt{1+(x^4-1)}-2

    =\sqrt{x^4}-2

    =x^2-2

    This is a second degree polynomial, so I guess the function your looking for is g(x)=x^4-1
    Last edited by adkinsjr; October 14th 2009 at 08:53 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Quadratic Function + linear function
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 20th 2011, 05:46 PM
  2. quadratic function
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 2nd 2009, 08:48 AM
  3. Replies: 2
    Last Post: March 30th 2008, 02:28 PM
  4. Quadratic Function
    Posted in the Business Math Forum
    Replies: 11
    Last Post: July 29th 2006, 09:13 AM
  5. Replies: 1
    Last Post: May 9th 2005, 04:40 PM

Search Tags


/mathhelpforum @mathhelpforum