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Let f : R rarr R and g : R rarr R be two...

Let `f : R rarr R` and `g : R rarr R` be two functions such that fog (x) `= sin x^(2)` and gof (x) = `sin^(2)x`. Then , find f(x) and g(x).

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`f(g(x)) = sin x^(2)`
`g[f(x)] = (sin x)^(2)`
By Inspection `[[g(x) = x^(2)],[f(x)= sin x]]`
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