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Let RR be the set of real numbers and f:...

Let `RR` be the set of real numbers and `f: RR rarr RR ,g: RR rarr RR` be two functions such that, `(g o f) (x) = 4x^(2)+4x+1` and `(f o g ) (x) = 2x^(2)+1` . Find `f(x) and g(x)`.

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The correct Answer is:
required `f(x) =2x +1 and g(x) =x^(2)`
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