Q. 3 E

Find the domain and range of each of the following real valued functions:


Answer :


Clearly, f(x) is defined for all real values of x, except for the case when 2 – x = 0 or x = 2.


When x = 2, f(x) will be undefined as the division result will be indeterminate.


Thus, domain of f = R – {2}


We have



f(x) = –1


Clearly, when x ≠ 2, f(x) = –1


Thus, range of f = {–1}


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