If function `y=f(x)` has only two points of discontinuity say `x_1,x_2,` where `x_1,x_2<0,` then the number of points of discontinuity of `y=f(-|x+1|)` is (a) 0 (b) 2 (c) 6 (d) 4

Given the function f(x)=1/(x+2) . Find the points of discontinuity of the function f(f(x))

Given the function f(x)=1/(x+2) . Find the points of discontinuity of the function f(f(x))

Given the function f(x)=1/(x+2) . Find the points of discontinuity of the function f(f(x))

If the function f(x) = 1/(x+2) , then find the points of discountinuity of the composite function y = f{f(x)} .

Find the points of discontinuity of y = (1)/(u^(2) + u -2) , where u = (1)/(x -1)

Consider a function defined in [-2,2] f (x)={{:({x}, -2 le x lt -1),( |sgn x|, -1 le x le 1),( {-x}, 1 lt x le 2):}, where {.} denotes the fractional part function. The total number of points of discontinuity of f (x) for x in[-2,2] is:

Statement 1: Minimum number of points of discontinuity of the function f(x)=(g(x)[2x-1]AAx in (-3,-1) , where [.] denotes the greatest integer function and g(x)=a x^3+x^2+1 is zero. Statement 2: f(x) can be continuous at a point of discontinuity, say x=c_1 of [2x-1] if g(c_1)=0.

Find the points of discontinuity of the function: f(x)=1/(x^2-2|x|+2)

Find the points of discontinuity of the function: f(x)=1/(2sinx-1)

Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)