Math - Domain of Composite

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Find the domain of the composite function . Please show all of your work.
f(x) = sqrt(x); g(x) = 2x + 12

  • Math - Domain of Composite -

    You do not state what composite function you want.
    Do you want f(g(x)) or g(f(x)) or f(x)*g(x) .....

    Does the following reply answer your question?

    http://www.jiskha.com/display.cgi?id=1307080009

  • Math - Domain of Composite -

    sorry, f o g

  • Math - Domain of Composite -

    f o g
    = f(g(x))
    = f(2x+12)
    = √(2x+12)

    Remember we cannot take the √ of a negative, so the domain is
    2x + 12 ≥ 0
    2x ≥ -12
    x ≥ -6

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