Let f(x) = ln x for all x>0, and let g(x) = x^2-4 for all real x.
Let H be the composition of f with g, that is H(x)= f(g(x)).
Let K be the composition of g withf, that is K(x)= g(f(x)).
A.) Find the domain of H.
B.) Find the range of H.
C.) Find the domain of K.
D.) Find the range of K.
E.) Find H'(7).
Any help/pointers you can give me will be much appreciated, I've been working on this one for a while for the past few nights and cant make anything of it mainly because of the ln that they threw in there.
2006-09-19
15:08:08
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4 answers
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asked by
Morph
1
in
Mathematics