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else formulated or not. music should be about expressing ones self no matter what. . math. is science and it should be! give us the answers right? music should raise qwestions, and shed light in a way that is accepted as . expression. ...
Mathematics core 3 functions?
Q. If f(x)=1/x+1, prove that f^2(x)=x+1/x+2. Hence find an expression for f^3(x).
Asked by Thirdman - Tue Mar 20 17:10:57 2007 - - 1 Answers - 0 Comments
A. f(x)=1/(x+1) f^2(x)= f(f(x)) = 1/(f(x) + 1) = 1/(1/(x+1) + 1) = 1/((x+2)/(x+1)) = (x+1) / (x+2) f^3(x)= f^2(f(x)) = [f(x) + 1]/[f(x) + 2] = [(x+2)/(x+1)] /[(2x + 3)/(x+1)] = (x+2)/(2x+3)
Answered by Alexander - Tue Mar 20 17:23:49 2007
Q. If f(x)=1/x+1, prove that f^2(x)=x+1/x+2. Hence find an expression for f^3(x).
Asked by Thirdman - Tue Mar 20 17:10:57 2007 - - 1 Answers - 0 Comments
A. f(x)=1/(x+1) f^2(x)= f(f(x)) = 1/(f(x) + 1) = 1/(1/(x+1) + 1) = 1/((x+2)/(x+1)) = (x+1) / (x+2) f^3(x)= f^2(f(x)) = [f(x) + 1]/[f(x) + 2] = [(x+2)/(x+1)] /[(2x + 3)/(x+1)] = (x+2)/(2x+3)
Answered by Alexander - Tue Mar 20 17:23:49 2007
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