# Math - Domain of Composite

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

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

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

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2. sorry, f o g

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3. 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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