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]

]