even or odd function

x/(1-2^x)-x/2 is what even odd or both or none?

5 Answers

even

hey hw u gt i m gettin as none :?

just simplify the expression a bit u will get the answer (after putting f(-x))

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

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

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

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

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

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

Therefore the function is even!

k thanks i dnt simplfy silly me !!

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