Let `f(x)=sgn(x) and g(x)= x(1-x^2)`, The number of points at which `f(g(x))` is not continuous and non-differentiable is

Let f(x) be defined in the interval [-2,2] such that f(x)={-1;-2<=x<=0} and f(x)={x-1;0

If f(x) = sgn (x) and g (x) = (1-x^2) ,then the number of points of discontinuity of function f (g (x)) is -

Let f(x)=sgn(x) and g(x)=x(x^(2)-5x+6) The function f(g(x)) is discontinuous at

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

Number of points where f(x)=| x sgn(1-x^2)| is non-differentiable is a. 0 b. 1 c. 2 d. 3

Number of points where f(x)=| x sgn(1-x^2)| is non-differentiable is a. 0 b. 1 c. 2 d. 3

Let f(x) be defined in the interval [-2,2] such that f(x)=-1 for -2<=x<0 and 1-x for 0<=x<2.g(x)=f(|x|)+|f(x)| The number of points where g(x) is not differentiable in (-2, 2),is