The number of points on the real line where the function `f(x) = log_(|x^2-1|)|x-3|` is not defined is

Answer

6

Explanation

`log_(|x^(2)-1|)|x-3|` is defined when `x-3 ne 0`
and `|x^(2) -1| gt 0 and |x^(2)-1| ne 1.`
`implies x ne 3x^(2) -1 ne 0"i.e.," x ne 1 or -1`
and `|x^(2)-1| ne 1`
`implies x ne -sqrt(2) or sqrt(2) and x ne 0`
` :. ` the points at which the function is not defined are `x=0,1, -1sqrt(2), 3.`