AIEEE
Exam
Using the formulas from above, we can start with x=4:
f(4) = 24-4+3 = 11
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AIEEE Other Question
There need not be any such topologies in general. You've noted, for example, that all constant functions are continuous, so if your sub-collection of functions does not have all constant functions as elements, then we're out of luck in topologizing X and Y in the desired fashion.
f-1(11) = (11-3)/2 = 4