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15 December, 02:40

Where is the removable discontinuity of f (x) = x+5/x^2+3x-10 located

a. x=-5

b. x=-2

c. x=2

d. x=5

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Answers (1)
  1. 15 December, 02:53
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    We are tasked to solve for the removable discontinuity of the expression below:

    f (x) = (x+5) / (x²+3x-10)

    Factoring the denominator, we have:

    f (x) = y = (x+5) / (x+5) (x-2)

    Canceled out (x+5) which is common in numerator and denominator, we have:

    y = 1 / (x-2)

    Removable discontinuity is (x+5) or x = - 5. The answer is the letter "A".
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