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If f(x)=log((1+x)/(1-x)) and then f((2x)...

If `f(x)=log((1+x)/(1-x))` and then `f((2x)/(1+x^2))` is equal to `{f(x)}^2` (b) `{f(x)}^3` (c) 2`f(x)` (d) `3f(x)`

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To solve the problem, we need to evaluate \( f\left(\frac{2x}{1+x^2}\right) \) and compare it with the options given. Given: \[ f(x) = \log\left(\frac{1+x}{1-x}\right) \] We need to find: \[ f\left(\frac{2x}{1+x^2}\right) \] ...
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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
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  19. If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...

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