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If the function'f : R rarrR is given by ...

If the function'f : R `rarr`R is given by f(x) = `x^(2) +2` and g:R `rarr` R is given by g(x) =`(x)/(x-1), x ne 1` then find fog and gof and hence find fog (2) and gof (-3) .

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The correct Answer is:
`(fog)x=(3x^(2)-4x+2)/((x-1)^(2)) , x ne 1, (gof)(x) =(x^(2)+2)/(x^(2)+1), fog(2)=6,(gof)(-3) =(11)/(10)`
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