 Hello and welcome to the session. Let us discuss the following question. Question is, state the reason whether the following function is inverse. G is a function from set 5, 6, 7, 8 to set 1, 2, 3, 4 when G is equal to set of ordered pairs of 5, 4, 6, 3, 7, 4, A and 8, 2. Let us start the solution now. We know G is a function from set 5, 6, 7, 8, 1, 2, 3, 4 with G is equal to set of ordered pairs of 3, 7, 4, 8, we know the function is invertible only if it is 1, 1 and odd 2 function. Now we know G5 is equal to 4, G6 is equal to 3, G7 is equal to 4 and G8 is equal to 2. So we can say the elements 5 and 7 of the set 5, 6, 7, 8 have the same image 4 in the set 1, 2, 3, 4. So it is a minimum function. So we can write G5 is equal to G7 is equal to 4. Therefore G is a minimum function since it is not a 1, 1 function so it is not invertible. This implies G does not have its inverse so our required answer is no. G does not have its inverse since the minimum function. This completes the session. Hope you understood the session. Goodbye.