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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