13. If f and g are functions of X, where
f(x) = log (1 + x?) and g(x) = et, then find
(gof) x and (fog) x.
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We have f(x) = log(1+x) and g (x) = ex
gof (x) = g (f(x)) = g ( log(1+x)) = e log (1+x) = 1+x
fog (x) = f (g(x)) = f (ex) = log (1+ex)
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