Question

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

विकल्प

• (a) R

• (b) (−∞, 0)

• (c) (0, ∞)

• (d) R − {0}

   

Answer 1

(d) R − {0}

f(x) = log |x|

\[\text{ For f(x) to be defined,}  \]

\[\left| x \right| > 0, \text{ which is always true . } \]

\[\text{ But } \left| x \right| \neq 0\]

\[ \Rightarrow x \neq 0\]

\[\text{ Thus, dom }(f) = R - {0} . \]