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If the functions of f and g are defined from the set of real numbers R to R such that `f(x) = e^x,g(x)=3x-2` ,then find the functions fog and gof . Define co-domain of fog and gof so that they become invertible and also `(gof)^(-1)` and `(fog)^(-1) `.

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`(gof)^(-1)(x)=ln((x+2)/3)`
`(fog)^(-1)(x)=(lnx+2)/3`
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PATHFINDER-FUNCTION-QUESTION BANK
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