find the composition of f with g and state the domain..

f(x)=(x-3)^(1/2), g(x)=(x^2+3)^(1/2)

tenQ(Wink)

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- Jan 8th 2010, 10:15 PMredcherryComposition of functions
find the composition of f with g and state the domain..

f(x)=(x-3)^(1/2), g(x)=(x^2+3)^(1/2)

tenQ(Wink) - Jan 8th 2010, 10:15 PMmr fantastic
- Jan 8th 2010, 10:35 PMredcherrytq~
f(g(x))=f((x^2+3)^(1/2))

=((x^2+3)^(1/2)-3)^(1/2))

i stuck at here.. - Jan 9th 2010, 04:36 AMHallsofIvy
Okay, you've found the composition so the only thing left to do is state the domain! The only "problem" appears to be square roots. Obviously is never negative so your only condition is that you must have . What values of x satisfy that?

The**equation**gives values of x that separate "<" from ">". Find those and determine which of the intervals separated by those values satisfy the inequality.