Results 1 to 2 of 2

Math Help - functions

  1. #1
    Newbie
    Joined
    Jun 2012
    From
    Malaysia
    Posts
    1

    functions

    can someone help me out with this question?

    f(xy)=f(x)f(y), f(0) does not equal 0. Find the value of f(2003).
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: functions

    Note that f(0) = f(0)f(0). Since f(0) \neq 0, f(0) = 1.


    Hence, for any k, f(0k) = f(k)f(0) \Rightarrow 1 = f(k)(1) \Rightarrow f(k) = 1 for all k. Therefore, f(2003) = 1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: March 30th 2012, 05:36 PM
  2. Replies: 0
    Last Post: April 15th 2010, 05:50 PM
  3. Replies: 3
    Last Post: February 23rd 2010, 04:54 PM
  4. Replies: 11
    Last Post: November 15th 2009, 11:22 AM
  5. Replies: 7
    Last Post: August 12th 2009, 04:41 PM

Search Tags


/mathhelpforum @mathhelpforum