Let `f(x)={2x-1 , `-3 le x lt 1` , `3x^2-2 , x ge 1` and g(x) = 4x+7 `-5 le x le 0` , `5x^2-x+7` x ge 0` then value of `int _(-2)^2 gof(x) equals

If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) = {x^2 if -1 le x le 2 , x+2 if 2 le x le 3 then the number of roots of the equation f(g(x))=2

If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) = {x^2 if -1 le x le 2 , x+2 if 2 le x le 3 then the number of roots of the equation f(g(x))=2

y - 2x le 1, x + y le 2, x ge 0, y ge 0

y - 2x le 1, x + y le 2, x ge 0, y ge 0

Let f(x) = [{:( sin (pi)/(2) x "," , 0 le x le 1) , (3 - 2x "," , x ge 1):} then

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

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