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

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

1.	Let f(x)=sin^2(x) + log(x) then domain of f(x) is (-∞, ∞).(a) True(b) FalseThe 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» RIGHT option is (b) False The best I can explain: DOMAIN is (0, ∞), since log(X) is not defined for negative numbers and zero.

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