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Continuous Functions

  1. Feb 26, 2009 #1
    1. The problem statement, all variables and given/known data
    If [tex]f[/tex] and [tex]g[/tex] are continuous functions, with [tex]f(3) = 5[/tex] and [tex]\stackrel{lim}{x\rightarrow3}\left[2f(x) - g(x)\right] = 4[/tex] find [tex]g(3)[/tex]

    3. The attempt at a solution
    I'm stumped! I cannot find anything in my notes on where to begin. I am not looking for a specific answer, I just need to be pointed in the right direction. Where do I begin?
  2. jcsd
  3. Feb 26, 2009 #2


    User Avatar
    Homework Helper

    try taking the limit, you know the limt of f
  4. Feb 27, 2009 #3


    Staff: Mentor

    And you know, by the continuity of g, that
    [tex]\lim_{x \rightarrow 3} g(x) = g(3)[/tex]
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