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Math Help - Value of composite function

  1. #1
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    Value of composite function

    • The function f(x) has the following values:
      X=1,y=4
      X=2,y=5
      X=3,y=3
      X=4,y=2
      X=5,y=1
      And g(x) has the following values
      X=1,y=3
      X=2,y=5
      X=3,y=1
      X=4,y=4
      X=5,y=2
      Calculate fg(2)
    • Let f(x)=(x^2)+1 and g(x)=1/x
      Calculate fg(3)
    Thankyou
    Last edited by mr fantastic; March 23rd 2010 at 01:09 AM. Reason: Changed post title
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  2. #2
    Super Member bigwave's Avatar
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    Quote Originally Posted by ces91 View Post
    • The function f(x) has the following values:
      X=1,y=4
      X=2,y=5
      X=3,y=3
      X=4,y=2
      X=5,y=1
      And g(x) has the following values
      X=1,y=3
      X=2,y=5
      X=3,y=1
      X=4,y=4
      X=5,y=2
      Calculate fg(2)
    • Let f(x)=(x^2)+1 and g(x)=1/x
      Calculate fg(3)

    Thankyou
    f^.g(x)is the same as f(g(x))

    therefore since g(2) = 5 then f(5) = 1

    the next one

    f(g(x)) = \left(\frac{1}{x}\right)^2+ 1

    so just substitute in x=3
    Last edited by bigwave; March 22nd 2010 at 11:17 PM.
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