Let `f(x)={1+x ,0le=xle=2 and 3-x ,2 < x le 3'` find `(fof)(x).`

Let f(x)={(1+x, 0 le x le 2), (3-x, 2 lt x lt 3):} Discuss the continuity of f, f' on [0, 2].

Consider f(x)=|1-x|,1 le xle2 and g(x)=f(x)+b sin.(pi)/(2)x, 1 le xle 2 then which of the following is correct?

Consider f(x)=|1-x|,1 le xle2 and g(x)=f(x)+b sin.(pi)/(2)x, 1 le xle 2 then which of the following is correct?

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

Let f(x) ={{:( [x],-2le xle -(1)/(2) ),( 2x^(2)-1,-(1)/(2)lt xle2):}and g(x) =f(|x|)+|f(x)|, where [.] represents the greatest integer function . the number of point where |f(x)| is non - differentiable is