The number of points on the real line where the function `f(x) = log_(|x^2-1|)|x-3|` is not defined is Option 1: 4 Option 2: 5 Option 3: 6 Option 4: 7

Options

A. 4
B. 5
C. 6
D. 7

Answer

C

Explanation

`log_(|x^(2)-1|)|x-3|` is defined when `x-3ne0` and `|x^(2)-1|gt0` and `|x^(2)-1|ne1.`
`rArr" "xne3,`
`x^(2)-1ne0" i.e., "xne1or-1,`
`|x^(2)-11ne1" "rArr xne-sqrt2 or sqrt2, and xne0`
Hence, the points at which the function is not defined are
`x=0, 1,-1,sqrt2,-sqrt2,3.`