 Hello and welcome to the session. In this session we discuss the following question that says, what is the range of the function fx equal to modulus x minus 1 upon x minus 1. Let's proceed with the solution now. We are given a function f of x equal to modulus of x minus 1 upon x minus 1 and we are supposed to find the range of this function. Now for x equal to 1 in this function we find that fx is not defined. That is for x equal to 1 the function fx is not defined therefore we take x not equal to 1 for this function. So now we have the function fx equal to modulus of x minus 1 upon x minus 1 with x not equal to 1. Let us now define this function fx. So fx would be equal to x minus 1 upon x minus 1 when x is greater than 1. Now since x is not equal to 1 so x would be greater than 1 or x would be less than 1 and when x is greater than 1 so this function fx would be given by x minus 1 upon x minus 1. Similarly when x is less than 1 this function fx would be given by minus of x minus 1 upon x minus 1. This means the given function fx is equal to 1 for x greater than 1 and minus 1 for x less than 1. Thus we now have that range of the function fx is the set with elements minus 1 1. So this is our final answer. This completes the session. Hope you have understood the solution of this question.