`f(x) = -1 + |x-2|, 0 leqxleq4 , g(x) = 2 - |x| , -1 leq x leq 3` Then find fog(x)

If f(x) =abs(abs(x-3)-2), 0 le x le 4 and g(x)= 4-abs(2-x),-1 le x le 3 the find fog(x).

If f(x)=-1+|x-2|,0lexle4 g(x)=2-|x|,-1lexle3 Then find fog(x) and gof(x) . Also draw their rough sketch.

If f(x)=-1+|x-2|,0lexle4 g(x)=2-|x|,-1lexle3 Then find fog(x) and gof(x) . Also draw their rough sketch.

If f(x)=-1+|x-2|, 0lexle4 g(x)=2-|x|, -1lexle3 Then, fog(x) is continuous for x belonging to

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

If f(x)=-1+|x-2|,0<=x<=4 and g(x)=2-|x|,-1<=x<=3 then find (fog)(x) and (gof)(x)

If f(x)=x+4, g(x)=2x-1 and h(x) =3x then find (fog)oh .

Consider the function f(x) =[(1-x,0 leq x leq 1),(x+ 2, 1 lt x lt 2),(4-x,2 leqxleq4)). Let lim_(x->1) f(f(x))= l and lim_(x->1) f(f(x))=m then which one of the following hold good ? (A) l exist but m does not (B) m exist but l does not (C) both exist (D) both does not exist

Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find fog