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identify discontinuities-state whether they are removable or finite. f(x)=(3x-2)/(x^2-3x-4) f(x)=1/(x-1)
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for both functions, solve the denominator for 0 to find where it is discontinuous: \[x^{2} - 3x - 4 = (x - 4)(x + 1)\] for the denominator to equal 0, x can be 4 or -1 For the 2nd, function it would be x=1
oh, and none of them are removable as far as I can tell
thanks!!
If the factor that produced the root in the denominator is cancelled out when reducing to lowest terms, then the discontinuity is removable. Neither of these are.
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