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If f:R-(pm1)toR is defined by f(x)=log|(...

If `f:R-(pm1)toR` is defined by `f(x)=log|(1+x)/(1-x)|`, then show that `f((2x)/(1+x^(2)))=2f(x)`.

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SRISIRI PUBLICATION-FUNCTIONS-EXERCISE(VSAQ)
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  2. If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3), then S.T f(x) +...

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  8. If f(x)=(x-1)/(x+1),x ne pm1, show that fof^(-1)(x)=x.

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  9. If f:[1,oo) to [1,oo) is defined by f(x) = 2^(x(x-1)) then find f^(-1)...

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  10. If f(x)=e^(x) and g(x)=log(e)x, then show that "fog=gof" and find f^(-...

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  14. If f: R to R is defined by f(x)=(1-x^(2))/(1+x^(2)) then show that f(t...

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  17. If f:N to N is defined as f(x)=2x+5, is f onto?

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  18. Determine whether the functionf:R to (0,oo) defined by f(x) = 2^(x) ...

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  19. Determine whether the function f:(o,oo) to R defined by f(x) log(e)x i...

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