Results 1 to 3 of 3

Math Help - function

  1. #1
    Senior Member DivideBy0's Avatar
    Joined
    Mar 2007
    From
    Melbourne, Australia
    Posts
    432

    function

    Given that f(x+3)=x^3-3, find f(x)

    Doing it in reverse is odd...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,614
    Thanks
    1581
    Awards
    1
    f(x) = f\left( {(x - 3) + 3} \right) = (x - 3)^3  - 3
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,717
    Thanks
    634
    Hello, DivideBy0!

    Given that f(x+3)\:=\:x^3-3, find f(x)

    Doing it in reverse is odd... . . . . yes, it is
    Then I baby-talked my way through it . . .


    We have a functon f such that x+3 is "processed" and becomes x^3-3

    . . . x + 3\quad\rightarrow\quad \boxed{\begin{array}{ccc} \\ \;\;f \;\; \\  \\\end{array}} \quad\rightarrow\quad x^3-3

    Then the steps are quite clear:
    . . Subtract 3, then cube, then subtract 3.

    Therefore: . f(x) \;=\;(x-3)^3 - 3

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 20
    Last Post: November 27th 2012, 05:28 AM
  2. Replies: 0
    Last Post: October 19th 2011, 04:49 AM
  3. Replies: 4
    Last Post: October 27th 2010, 05:41 AM
  4. Replies: 3
    Last Post: September 14th 2010, 02:46 PM
  5. Replies: 2
    Last Post: September 2nd 2010, 10:28 AM

Search Tags


/mathhelpforum @mathhelpforum