Consider `f(x)={{:(-2",",-1lexlt0),(x^(2)-2",",0lexle2):}` and `g(x)=|f(x)|+f(|x|)`. Then, in the interval `(-2, 2), g(x)` is

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)=(sinx)/x and g(x)=|x.f(x)|+||x-2|-1|. Then, in the interval (0,3pi) g(x) is :

Let f(x)=(sinx)/x and g(x)=|x.f(x)|+||x-2|-1|. Then, in the interval (0,3pi) g(x) is :

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| What is the value of differential coefficent of g(x) at x=-2

Let f(x) be difined in the interval [-2, 2] such that f(x)={{:(-1", " -2lexle0),(x-1", " 0ltxle2):} and g(x)=f(|x|)+|f(x)| . Test the differentiability of g (x) in (-2, 2).

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| What is the value of the differential coefficient of g(x) at x=-2?

Consider the function f(x)=f(x)={{:(x-1",",-1lexle0),(x^(2)",", 0lexle1):} and " "g(x)=sinx. If h_(1)(x)=f(|g(x)|) " and "h_(2)(x)=|f(g(x))|. Which of the following is not true about h_(2)(x) ?