 Hi and welcome to the session. I am Asha and I am going to help you with the following question which says find a domain and the range of the real function f defined by fx is equal to mod x minus 1. So let us begin with the solution and the given function is equal to mod x minus 1 and we need to find of the function f. Now let the given function fx be equal to y. So this implies y is equal to mod of x minus 1. Now the set of values which x can take is called the domain of f and the set of values which y can take is called the range of the function and here since the given function fx is a real function therefore x can take all the real values that is all the values of r x can take and therefore the domain of the given function is equal to r and now since modulus of x minus 1 is greater than equal to 0 so all x belonging to the real numbers and this is by the definition of modulus function which is y if y is greater than or equal to 0 and minus y if y is less than 0. So this implies modulus of x minus 1 which is equal to y is greater than or equal to 0 for all x belonging to r and y belonging to r. So this implies that range of the given function f is the set of all non-negative real numbers. The domain of the function is equal to r. So this is the solution and this completes the session. Hope you enjoyed it. Take care and have a good day.