Functions|Composition of piecewise defined functions

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)

Write the function f(x) ={sinx} where {.} denotes the fractional part function) in piecewise definition.

Composite function : Find fog , Camera method , composition OF Non uniformly defined function& Examples

Composite function || Periodic function

Composite Function

Composite function

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)

The composition of any function with the identity function is the function itself.