The function fx x2x 1 is a even b odd c neither even nor o

The function f(x) = x^2/x - 1 is a. even b. odd c. neither even nor odd d. it is defined at 1 e. defined for all real numbers

Solution

At x =1 the given function is undefined.

To check whether the given function is even or odd we have to plug -x for x

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

Which is neither equal to f(x) nor equal to -f(x). hence the given function is neither even nor odd and the correct option is c