Question

What is domain of function f(x) = x^-1 for it to be defined everywhere on domain?

(a) (2, ∞)

(b) (-∞, ∞) – {0}

(c) [0, ∞)

(d) None of the mentioned

The question was asked in an interview.

Query is from Domain and Range of Functions topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

The correct option is (b) (-∞, ∞) – {0}

The explanation is: Function x^-1 is not defined for x=0, otherwise it defined for every real number.