Please hurry I’m being timed! (50 pts) For which rational expression is -2 an excluded value of x? A) x-3/x^2-4

Question

Please hurry I’m being timed! (50 pts)

For which rational
expression is -2 an excluded value of x?
A) x-3/x^2-4
B) x-3/x^2+4
C) x^2-4/x-3
D) x^2+4/x-3

in progress 0
Serenity 1 week 2021-11-25T09:10:32+00:00 2 Answers 0

Answers ( )

    0
    2021-11-25T09:11:41+00:00

    Answer:

    A

    Step-by-step explanation:

    An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

    For expression A

    \frac{x-3}{x^2-4}

    The denominator will be zero when x² – 4 = 0

    x² – 4 is a difference of squares, thus

    (x – 2)(x + 2) = 0

    x – 2 = 0 ⇒ x = 2

    x + 2 = 0 ⇒ x = – 2

    The excluded values of x are x = ± 2 ⇒ A

    0
    2021-11-25T09:11:55+00:00

    Option A) is the answer

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