Composition of piecewise defined functions : If `f(x)=||x-3|-2| 0 <= x <= 4 g(x)=4-|2-x| -1 <= x <= 3` then find fog(x) and draw rough sketch of fog (x).

Composition of piecewise defined functions : If f(x)=||x-3|-2|0<=x<=4g(x)=4-|2-x|-1<=x<=3 then find fog(x) and draw rough sketch of fog (x)

Consider the piecewise defined function f(x) = {{:(sqrt(-x),"if",x lt 0),(0,"if",0 le x le 4),(x - 4,"if",x gt 4):} describe the continuity of this function.

Consider the piecewise defined function f(x) = {{:(sqrt(-x),"if",x lt 0),(0,"if",0 le x le 4),(x - 4,"if",x gt 4):} describe the continuity of this function.

Consider the piecewise defined function f(x) = {{:(sqrt(-x),"if",x lt 0),(0,"if",0 le x le 4),(x - 4,"if",x gt 4):} choose the answer which best describes the continuity of this function.

Consider the piecewise defined function f(x) = {{:(sqrt(-x),"if",x lt 0),(0,"if",0 le x le 4),(x - 4,"if",x gt 4):} choose the answer which best describes the continuity of this function.

Write the piecewise definition of the function: f(x)= [sqrt(x)] , where [.] denotes the greatest integer function.

The range of the piecewise function f(x) ={:{(3(x-1)^2-2,"if",x lt 6),(-2x+5,"if",x ge6):}

For the following functions write the piecewise definition and draw the graph (i) f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)

For the following functions write the piecewise definition and draw the graph (i) f(x)=" sgn "(log_(e)x) " (ii) "f(x) = " sgn "(sin x)