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Homework Help: Calculus is ruining my life!

  1. Jan 30, 2005 #1
    Given the function f(x) by f(x) = (2x-2)/((x^2)+x-2)

    A) For what values of 'x' is f(x) discontinuous?
    B) At each point of discontinuity found in part A, determine whether f(x) has a limit and, if so, give the value of the limit.
    C) A rational function g(x)= a/(b+x) is such that g(x)=f(x) wherever f(x) is defined. Find the values of 'a' and 'b'.

    I think I figured out both part A and B, but part C is killing me. Any help would be great.
  2. jcsd
  3. Jan 30, 2005 #2
    A function is discontinuous when the y value for a certain x value does not exist. In this case, it would be when the denominator equals zero. That should be pretty simple to figure out.
  4. Jan 30, 2005 #3


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    You must have skipped class not to get a).

    Simon, from American Idol:

    Like seriously, you skipped class and that shirt looks dirty awful.
  5. Jan 31, 2005 #4


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    Homework Helper

    For part C) have you tried factorising both numerator and denominator ? It should become fairly obvious then.
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