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Domain of composite function?
Let functions f and g be defined by their graphs, a ray in both cases.
h(x) = f[g(x)]
What is the domain of the composite function h?
This was not actually my question. Someone else asked it early this year. I was trying to understand the disappointing responses. Two people (now three) argued that the domain of h was the intersection of domains of f and g. One other person said that the composite function was not possible.
For starters, there is no g(-3), so of course there can be no f[g(-3)].
I will keep checking for a while. It is not a trick question. Surely someone will get it.
Be the first to answer this question.