Question

The domain of the function f (x) = log x² is 

(a) R 

(b) R⁺ 

(c) R – {0} 

(d) R⁺ ∪ {0}

Answer 1

Answer : (c) =  R – {0}

Since log_ba is defined only when a > 0, b > 0 and b ≠ 1, 

log x² is defined only when x² > 0, which is true for all real values of x except x = 0. 

∴ Domain of log x² is R – {0}.