Problem 889

Find  f[g(x)].

f(u) = eu; g(x) = -2x7




Recall that a function m is a composite of function f and g if the following equation is true.

m(x) = f[g(x)]

The domain of m is the set of all numbers x such that x is in the domain of g and g(x) is in the domain of f.

Find f[g(x)].

f [g(x)]=f[-2x7] Substitute for g(x).

= e^{-2x^{7}}

Therefore ,f[g(x)] = e^{-2x^{7}}



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