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25 March, 09:03

What is the domain for the following function?

Y = (x+1) / (x^2+x-6)

A) {x does not equal - 1}

B) {x does not equal - 3; x does not equal 2}

C) {x does not equal - 3}

D) {x does not equal 0}

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Answers (1)
  1. 25 March, 11:37
    0
    it's B

    Step-by-step explanation:

    the set of numbers for which a function is defined is called a domain of a function

    if a number is not in the domain of a function, then the function is undefined for that number

    denominator must not be zero

    if we plug - 3 then the y

    = (-3+1) / (9+-3-6)

    = (-2) / 9-9

    =-2/0

    which is undefined for x=-3

    now

    if we plug 2 we have

    (2+1) / (4+2-6)

    =3/0

    the function is undefined for x=2

    so

    x≠3, x≠2
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