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4 February, 09:59

Find the values of y which makes the expression (2y + 7) / (y2 - 2y - 15) undefined?

A) - 5, 3

B) - 5, - 3

C) 5, 3

D) 5, - 3

E) 15, - 3

+3
Answers (1)
  1. 4 February, 10:21
    0
    The given expression becomes undefined when y=5 or y = - 3. The answer is option D.

    Step-by-step explanation:

    The value of the given expression becomes undefined when the denominator equals 0.

    Hence to find the value of y which makes the expression undefined, we can equate the value of the denominator to zero and solve it.

    Step 1

    Equate the denominator to 0.

    y^{2} - 2y - 15 = 0

    Step 2

    Solve the above equation to get the value of y.

    y^{2} - 2y - 15 = 0

    => (y-5) (y+3) = 0 [ Roots of the quadratic equation]

    => y = 5 or y = - 3.

    Hence when y = 5 or y = - 3 the denominator becomes 0, which makes the expression (2y+7) / 0 and hence it is undefined.
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