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Homework Help: Domain of composite function

  1. Dec 23, 2013 #1
    Let's say f(x) = sqrt(x-1)
    And g(x) =x^2

    What is the domain of f(g(x))

    Well the domain of g(x) is all real numbers and the equation for the new function is sqrt(x^2-1)

    Am I right to say that the domain for f(g(x)) is x greater than or equal to 1 and less than and equal to -1??
  2. jcsd
  3. Dec 23, 2013 #2


    Staff: Mentor

    Yes. In a bit nicer form it is ##\{x | x \leq -1 \cup x \geq 1\}##.
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