Function & Variable

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relaxin99: Senior | Next Rank: 100 Posts; Posts: 73; Joined: Tue Sep 16, 2008 4:33 pm; Thanked: 2 times

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

Source: Beat The GMAT — Problem Solving | Mon Feb 23, 2009 5:17 pm

billzhao: Senior | Next Rank: 100 Posts; Posts: 80; Joined: Mon Feb 02, 2009 6:36 am; Thanked: 10 times

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

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