 Hello students and welcome to the session. Let us discuss the following problem today. State with reason, whether following functions have inverse. f is a function from set 1, 2, 3, 4 to set 10 with f is equal to set of ordered pairs of 1, 10, 2, 10, 3, 10, 4, 10. First upon let us understand that function is invertible only if it is 1, 1 and onto function. This is the key idea to solve the given question. Let us now start the solution. We are given function f from set 1, 2, 3, 4 to set 10. We also know that f1 is equal to 10, 2 is equal to 10, f3 is equal to 10 and f4 is also equal to 10. It is a many one function since all the elements of the set 1, 2, 3, 4 have same image. So we can write f is a many one function therefore f does not have its inverse. So our required answer is no f does not have its inverse since f is many one function. This completes the session. Hope you understood the session. Take care and goodbye.