 Hi and welcome to the session. I am Asha and I am going to help you with the following question which says find the domain and range of the following real functions. First is fx is equal to minus mod x. Let us now start with the solution and let us define a function gx is equal to mod x which is defined as x if x is greater than or equal to 0 and minus x if x is less than 0. So the graph of this function is this is x axis while x is this is x dash this is y dash. So the graph of mod x will be this will be a given a function x is equal to minus of mod x we have to find the domain of f and range of f. Now as we can see here fx which is minus of mod x can be written as minus of function gx. The set of all those values which x can take and that is set of real numbers and range the set of values which the function can take and that is from minus infinity to close to double 0. So this completes the solution hope you enjoyed it take care and have a good day.