Question

y=1+2／（2的x次方-1）为奇函数,偶函数,非奇非偶函数还是亦奇亦偶函数

Answer 1

f(x)=1+2／（2^x-1）

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

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

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

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

= -f(x)

f 为奇函数