If f(x+y) = f(x) f(y) for all real x and y and f(0) is not equal to 0 , then the function g(x) = f(x) /[1+{f(x)}^2] is

Question

a) odd function
b) even function
c) oddiff (x) >0
d) none of these

Answer 1

just use the definition of even/odd

even: f(-x) = f(x)
odd: f(-x) = -f(x)

It may be neither, ...