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Let f : X rarr Y be an invertible functi...

Let `f : X rarr Y` be an invertible function. Show that the inverse of `f^–1` is f, i.e. `(f^–1)^–1 = f`

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ARIHANT MATHS-FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  11. The number of solutions of the equation [y+[y]]=2cosx, where y=(1)/(3)...

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  13. If x and alpha are real, then the inequation log(2)x+log(x)2+2cos al...

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  14. The range of values of ‘a' such that (1/2)^|x|= x² - a is satisfied f...

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  16. The domain of the function f(x)=sqrt(log(sinx+cosx)(abs(cosx)+cosx))...

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  17. If f(x)=(x^(2)+2alphax+alpha^(2)-1)^(1//4) has its domain and range su...

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  19. The expression x^2-4px+q^2> 0 for all real x and also r^2+ p^2 < qr t...

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  20. Let f(x)=(x^(4)-lambdax^(3)-3x^(2)+3lambdax)/(x-lambda). If range of f...

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