Question

Let f(x)=sin^2(x) + log(x) then domain of f(x) is (-∞, ∞).

(a) True

(b) False

The question was posed to me during a job interview.

This is a very interesting question from Domain and Range of Functions in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right option is (b) False

The best I can explain: Domain is (0, ∞), since log(x) is not defined for negative numbers and zero.