Find the domain of each of the following real valued functions of real variable: (i) f (x) = 1/x (ii) f (x) = 1/(x-7)

Answers:

(i)

f (x) is defined for all real values of x, except when x = 0.

∴ Domain of f = R – {0}

(ii)

f (x) is defined for all real values of x, except when x – 7 = 0 or x = 7.

∴ Domain of f = R – {7}