Definition of the Composition of Two Functions

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Homework Statement



In general, let f: A -> T and g: B -> C. Find a condition on the domain of g (other than B = T) that results in a meaningful definition of the composite function g((f(x)): A -> C.


Homework Equations



None.


The Attempt at a Solution



I could not find a starting place for this problem.
 
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You might want to recall the definition of the image of a function.