algebra

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1.Find the domain of the function. Make sure answer is in interval notation.
g(x)=7x/x^2-4

2.Find the domain of the function. Make sure answer is in interval notation.
f(x)=5x square root of x-2

  • algebra -

    1. g(x) = 7x/(x^2-4)
    x^2-4 = 0
    x^2 = 4
    X = +- 2.
    Domain: -2 <X< 2.

    2. F(x) = 5x*sqrt(x-2).
    2 <=X< +Infinity.

  • algebra -

    Correction:
    1. 7x/(x^2-4) = 7x/(x+2)(x-2).
    When X = +-2, the denominator = 0. Therefore, +-2 are not in the domain.
    Domain: All real values of X except +-2.

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