Math

Is f(x)= -x/x^2-1 odd, even or neither of the two functions?

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  1. if even: f(-x) = f(x)
    if odd : f(-x) = -f(x)

    check for a given value:
    e.g. x = 5
    f(-5) = 5/24
    f(5) = -5/24 ---- > not even

    f(5) = -5/24
    f(-5) = 5/24 = -f(5)

    should be obvious that the function is odd
    since
    f(-x) = -(-x)/(x^2-1)
    = x/(x^2-1)
    = - f(x)

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