Hey I am in Calculus right now and my teacher gave us this packet with questions from previous Ap exams.
1980 AB3
Let f(x)=ln(x^2) for x>0 and g(x)=e^(2x) for x>(or equal to)0. Let H be the composition of f with g, that is, H(x) = f(g(x)), and let K be the composition of g with f, that is K(x)=g(f(x)).
(a) Find the domain of H and write an expression for H(x) that does not contain the exponential function.
(b) Find the domain of K and write an expression for K(x) that does not contain the exponential function.
(c) Find an expression for f^-1(x), where f^-1 denotes the inverse function of f, and find the domain of f^-1.
I would really appreciate your help. I need answers by tonight, thanks.
-Also I need to show work so if you can show how you got it I would appreciate it, but if you know the answer, or just one of the answers, I will accept that aswell, thanks.
2007-09-13
10:41:48
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4 answers
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asked by
zach q
1
in
Mathematics