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Let A={x in R|-1lt=xlt=1} and let f: A-...

Let `A={x in R|-1lt=xlt=1}` and let `f: A->A ,\ g: A->A` be two functions defined by `f(x)=x^2` and `g(x)=sin(pix)/2` . Show that `g^(-1)` exists but `f^(-1)` does not exist. Also, find `g^(-1)` .

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RD SHARMA ENGLISH-FUNCTION-All Questions
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  17. Let f be a function from C (set of all complex numbers) to itself g...

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