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A Term a Day

The composition of two functions, g and h, such that g is applied first and h second, is given by:

(g ^{o} h)(x) = g(h(x))

The composition of two functions, g and h, such that g is applied first and h second, is given by:

(g ^{o} h)(x) = g(h(x))

The domain of the composite function (g ^{o} h) is the set of all x in the domain of h such that h(x) is in the domain of g.

If x is in the domain of the composite function (g ^{o} h), then x must be in the domain of h, and h(x) must be in the domain of g.

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