Question

Se f(x)=x/x^2-1 então f(raiz de 2) vale

Answer 1

f(x) = x / x² - 1
f(√2)
$= \frac{ \sqrt{2} }{( { \sqrt{2}) }^{2} - 1 } \\ = \frac{ \sqrt{2} }{2 - 1} = \sqrt{2}$

Answer 2

Olá!

Substitua x por √2:

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

$f( \sqrt{2} ) = \frac{ \sqrt{2} }{2 \: - \: 1}$

$f( \sqrt{2} ) = \frac{ \sqrt{2} }{1}$

$f ( \sqrt{2} ) = \sqrt{2}$