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