The location where function is not defined, the function will be discontinuous. So, the function is undefined if,
11+|x|−6√2+|x|
6−2√2+|x|
<0 6−2√2+|x|=0 2√2+|x|<0 2+|x|<0 Further simplify, |x|<−2 The above condition is not possible Now, 6−2√2+|x|=0 −2√2+|x|=−6 √2+|x|=3 2+|x|=9 Further simplify the above, |x|=7 x=±7 Therefore, the number of the points is 2 .