Question
Domain of the function ( log left|x^{2}-9right| ) is-

Domain of the function ( log left|x^{2}-9right| ) is-
( (A) R )
(B) ( R-[-3,3] )
(C) ( mathrm{R}-{-3,3} )
(D) None of these
Solution

( log |x|^{2}-9 mid )
For log to exist
[
begin{array}{c}
x^{2}-9>0
(x-3)(x+3)>0
end{array}
]
45img wavy curve
[
<+frac{1-1+1}{3}
]
( 50 ; quad x in(-infty,-3) cup(3, infty) )
Honce domain is
[
R-[-3,3]
]