Question

Dada a função f (x)= 1/x² - 1,calcile f (raiz 2/2):

Answer 1

$\boxed{f(x) = \frac{1}{x^2-1}}\\ \\ f(\frac{\sqrt{2}}{2}) = \frac{1}{(\frac{\sqrt{2}}{2})^2-1}\\ \\ f(\frac{\sqrt{2}}{2}) = \frac{1}{(\frac{2}{4})-1}\\ \\ f(\frac{\sqrt{2}}{2}) = \frac{1}{-\frac{1}{2}}\\ \\ \boxed{f(\frac{\sqrt{2}}{2}) = -2}$