The domain of the function f (x) = log x2 is (a) R (b) R+ (c) R – – InterviewSolution

1.

The domain of the function f (x) = log x2 is (a) R (b) R+ (c) R – {0} (d) R+ ∪ {0}

Answer»

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}.

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