Robert Z. answered • 07/09/20
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Anushka, in general, the domain of an exponential is the set of all real numbers. Each of the three terms in your function is an exponential function, and has the full set of real numbers as its domain. Creating a composite function by adding or subtracting components does not impose any additional restrictions. Therefore, the domain of f is the set of all real numbers.
Robert Z.
Unless there is an issue with the notation I see in your question, I disagree with that answer. Zero in an exponent does not cause a problem; it creates no discontinuity. However, an exponent that has a zero in its denominator WOULD. So, for instance, if the expression was supposed to be f(x) = 3^x - 3^(-x/(3^x - 3^-x)), the expression in the innermost parentheses would evaluate to zero when x = 0 and this would create an undefined exponent.
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07/10/20
Anushka Y.
Thanks a lot for the follow-up but the answer actually happens to be R-{0} where R is a set of all real numbers. I am unable to obtain this answer07/09/20