In a composite function, one function is used as a variable in the other function. So to find a composite, we’ll plug one function into the other function, and then simplify the result.
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The domain of a composite must exclude all values that make the “inside” function undefined, and all values that make the composite function undefined. In other words, given the composite f(g(x)), the domain will exclude all values where g(x) is undefined, and all values where f(g(x)) is undefined.
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