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-1|, -1 le x le 3 " and " g(x)=2-|x+1|, -2 le x le 2, then find fog(x) " and " gof(x).

If f (x) =x ^(2) -6x + 9, 0 le x le 4, then f(3) =

If f (x) =x ^(2) -6x +5,0 le x le 4 then f (8)=

f(x)=abs(x-1)+abs(x-2), -1 le x le 3 . Find the range of f(x).

If f(x)={{:(,(x^(2))/(2),0 le x lt 1),(,2x^(2)-3x+(3)/(2),1 le x le 2):} then,

If f(x)={(1-x",", 0 le x le 2),(x-1",", 2 le x le 4),(1",", 4 le x le 6):} then find, f(0) +f((1)/(2)) +f(1)+ f((45)/(48))

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

If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2):} then int_(0)^(2)f(x)dx equals

Let f(x) and g(x) be two functions given by f(x)=-1|x-1|,-1 le x le 3 and g(x)=2-|x+1|,-2 le x le 2 Then,

The area bounded by f (x)=x^(2), 0 le x le 1, g(x)=-x+2,1 le x le 2 and x- axis is