已知函数f(x)=-x+log2 1-x/1+x 求f(1/2010)+f(-1/2010)

问题描述:

已知函数f(x)=-x+log2 1-x/1+x 求f(1/2010)+f(-1/2010)

答案:0
设1/2010=n,则-1/2010=-n
f(1/2010)+f(-1/2010)
=f(n)+f(-n)
=-n+log2 1-n/1+n+n+log2 1+n/1-n
=log2 [(1-n/1+n )(1+n/1-n)]
=log2 1
=0