SOLUTION: a) If this means f(x) = {{{x/(x^3-x)}}} = {{{1/(x^2-1)}}} then, f(-x)= {{{1/((-x)^2-1)}}} = {{{1/(x^2-1)}}} = f(x) So f(x) is even function. b) If this means f(x) = {{{(x/x^3)

Algebra ->  Rational-functions -> SOLUTION: a) If this means f(x) = {{{x/(x^3-x)}}} = {{{1/(x^2-1)}}} then, f(-x)= {{{1/((-x)^2-1)}}} = {{{1/(x^2-1)}}} = f(x) So f(x) is even function. b) If this means f(x) = {{{(x/x^3)      Log On


   

Question 40811: a) If this means f(x) = x%2F%28x%5E3-x%29 = 1%2F%28x%5E2-1%29 then,
f(-x)= 1%2F%28%28-x%29%5E2-1%29 = 1%2F%28x%5E2-1%29 = f(x)
So f(x) is even function.
b) If this means f(x) = %28x%2Fx%5E3%29-x = 1%2Fx%5E2-x then,
f(-x) = 1%2F%28-x%29%5E2-%28-x%29 = 1%2Fx%5E2%2Bx not equal to f(x)
So f(x) is odd function.
Next time before you put a question make sure that your use of brackets does not initiate any controversy.
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