Math

Let f(x)= sqrt((x/x+3)-5). Find the domain.

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asked by Cristy
  1. you know that x/(x+3) is undefined at x = -3

    since √n is defined only for n >= 0, we need

    x/(x+3)-5 >= 0
    x/(x+3) > 5
    x > 5x+15
    -15 > 4x
    -15/4 > x

    So, the domain is all reals less than -15/4. Note that this automatically excludes x = -3.

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    posted by Steve

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