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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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)
What have you tried and where are you stuck?Quote:
Originally Posted by redcherry
f(g(x))=f((x^2+3)^(1/2))
=((x^2+3)^(1/2)-3)^(1/2))
i stuck at here..
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. ObviouslyQuote:
Originally Posted by redcherry
is never negative so your only condition is that you must have
. What values of x satisfy that?
The equationgives values of x that separate "<" from ">". Find those and determine which of the intervals separated by those values satisfy the inequality.