I'm not sure what else I can say beyond what I have already given. The 'R' in the function definition is the set of real numbers, and I have been asked "Fix f and a, and for each non-zero h write theta(h) for a corresponding value of theta."
I'm not sure what else I can say beyond what I have already given. The 'R' in the function definition is the set of real numbers, and I have been asked "Fix f and a, and for each non-zero h write theta(h) for a corresponding value of theta."
In that case, I must agree with Halls.
You said that you know it is possible. How do you know that?
It may be that whoever wrote the question has a complete answer in mind.
If I were you, I would discuss this the source of the question.