Which exists for and is equal to

Now,

⟹x+1>0

⟹x>-1 …(i)

Also,

⟹x≥0 or x<-1 …(ii)

Comparing equations (i) and (ii), we understand that the condition satisfying both inequalities is .

So, for x≥0,

, which is a constant

So, (Ans)