Question

f (x) = x squre -1 / x squre +1 then f (1/x) is​

Answer 1

Answer:

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

Step-by-step explanation:

$\displaystyle f(x) = \frac{x^2-1}{x^2+1}\\\\\Rightarrow f\bigl(\tfrac1x\bigr) = \frac{\bigl(\tfrac1x\bigr)^2-1}{\bigl(\tfrac1x\bigr)^2+1}\\\\{}\qquad=\frac{\bigl(\frac1{x^2}-1\bigr)\times x^2}{\bigl(\frac1{x^2}+1\bigr)\times x^2}\\\\{}\qquad=\frac{1-x^2}{1+x^2}\\\\{}\qquad=-f(x)$