The domain of the function fx=sin-13-xlnx-2 is

fx-sin-13-xlogx-2Let  gx=sin-13-xor   -1≤3-x≤1The domain of g(x) is [2,4].Let hx=logx-2i.e.,x-2>0 or x>2i.e.,x<-2 or x>2∴Domain -∞,-2∪2,∞ We know that f/gx=fxgx∀x∈D1∩D2-x∈R:gx=0