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Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.

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asked by Candice
  1. Since f is only defined on [-8,4] g(x) is only defined on [4,-2]=[-2,4]

    That is, g(-2) = f(4) and if you try to evaluate g(-3) = f(6) that is not defined.

    Play around a bit and you'll see that the domain of g is that of f, divided by -2.

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    posted by Steve
  2. I'm still a bit confused

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    posted by Candice

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