Function & Variable

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Function & Variable

by relaxin99 » Mon Feb 23, 2009 5:17 pm
For which of the following functions is f(x) = f(1-x) for all x?


f(x) = 1-x
f(x) = 1-x^2
f(x) = x^2 - (1-x^2)
f(x) = x^2(1-x)^2
f(x) = x/1-x

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by billzhao » Mon Feb 23, 2009 5:24 pm
f(x) = x^2(1-x)^2

f(1-x)=(1-x)^2*(1-1+x)^2=x^2(1-x)^2
Yiliang