Home
Class 12
MATHS
Let f(x)={(-1, -2 leq x lt 0),(x^2-1, 0...

Let `f(x)={(-1, -2 leq x lt 0),(x^2-1, 0 lt x leq 2))` and `g(x)= |f(x)|+f|x|` then the number of points which `g(x)` is non differentiable, is (A) at most one point (B) `2` (C) exactly one point (D) infinite

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) = {{:(-1,-2 le x lt 0),(x^2-1,0 le x le 2):} and g(x)=|f(x)|+f(|x|) . Then , in the interval (-2,2),g is

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)= [{:(x+1,,, x lt0),((x-1),,, x ge0):}and g (x)=[{:(x+1,,, x lt 0),((x-1)^(2),,, x ge0):} then the number of points where g (f(x)) is not differentiable.

Let f (x)= [{:(x+1,,, x lt0),((x-1),,, x ge0):}and g (x)=[{:(x+1,,, x lt 0),((x-1)^(2),,, x ge0):} then the number of points where g (f(x)) is not differentiable.

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

Let f(x)={(-,1, -2lexlt0),(x^2,-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then g(x) in (-2,2) is (A) not continuous is (B) not differential at one point (C) differential at all points (D) not differential at two points

Let f(x)={(-1, -2lexlt0),(x^2-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then g(x) in (-2,2) (A) not continuous (B) not differential at one point (C) differential at all points (D) not differential at two points