f(x) =(1-x)^-1 হলে f(f(x))=?

Explanation:

Another Explanation (5): দেওয়া আছে, \( f(x) = (1-x)^{-1} \) সুতরাং, \( f(f(x)) = f((1-x)^{-1}) \) এখন, \( f(f(x)) = \left(1 - (1-x)^{-1}\right)^{-1} \) =\( \left(1 - \frac{1}{1-x}\right)^{-1} \) =\( \left(\frac{1-x-1}{1-x}\right)^{-1} \) =\( \left(\frac{-x}{1-x}\right)^{-1} \) =\( \frac{1-x}{-x} \) =\( \frac{-(x-1)}{-x} \) =\( \frac{x-1}{x} \) অতএব, \( f(f(x)) = \frac{x-1}{x} \) 🎉