Consider two functions `f (x) ={[x] , -2 leq x leq -1 and |x|+1 , -1 lt x leq 2 and g(x)={[x], -pi leq x lt 0 and sin x and 0 leq x leq pi`, where [.] denotes the greatest integer function.

f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest integer function) then

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),( Sinx, 0le xle pi ):} where [.] denotes the greatest functions The exhaustive domain of g(f(x)) is

Consider two funtions f(x) = {:{( [x], -2le x le -1 ),(|x|+1, -1 lt xle 2 ):} and g(x) = {:{( [x]. -pi le x lt 0 ),(Sinx 0le xle pi ):} where [.] denotes the greatest functions The range of g(f(x)) is

f(x)=1+[cos x]x in 0<=x<=(pi)/(2) (where [.] denotes greatest integer function)

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)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

If f(x)= {(|1-4x^2|,; 0 lt= x lt 1), ([x^2-2x],; 1 lt= x lt 2):} , where [.] denotes the greatest integer function, then f(x) is