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I've always learnt that for a composite function:
The following rule applies:
However, this doesn't apply to a function such as :
For which I have worked out the domain of the composition to be
How can this be explained?
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You're doing g first, then f, so the range of g must fit within the domain of f.
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Thats because of the domain of
must also be a subset of the range of . The range of is , but is only defined for . Hence the domain of is only the set of those values of in the domain of for which is in the domain of .Offline
Me too slow.
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Thankyou!
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