f (x)= {{:(2(x+1),,, x le -1),( sqrt(1- x^(2)),,, -1 lt x lt 1), (|||x|-1|-1|,,, x ge1 ):}, then...

The value(s) of x for which the function f(x) = {(1-x, ",", x lt 1),((1-x)(2-x), ",", 1 le x le 2 ),(3-x, ",", x gt 2 ):} fails to be continuous is (are)

f(x) {{:(x + 1"," if x ge 1 ),(x^(2)+ 1"," if x lt 1):}

The function f(x) = min {|x|, sqrt(1-x^(2))}, -1lt x lt 1 possesses

Consider a function defined in [-2,2] f (x)={{:({x}, -2 lle 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:

f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):} at x = 0 .

f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):} at x = 0 .