 Hi and welcome to the session. Let us discuss the following question. Question says, examine the following functions for quantity. C part is fx is equal to x square minus 25 upon x plus 5. Let us now start the solution. We are given fx is equal to x square minus 25 upon x plus 5. Now this implies fx is equal to x square minus 5 square upon x plus 5. Now this implies fx is equal to x minus 5 multiplied by x plus 5 upon x plus 5. We know a square minus e square is equal to a minus b, a plus b. Now we can cancel x plus 5 by x plus 5. Remember this is only possible when x is not equal to minus 5 as 0. In the denominator, we will not define fx. So we can write fx is equal to x minus 5 for x not equal to minus 5. Now clearly we can see this is a polynomial function and polynomial function is continuous at every real number. So we can write this is a polynomial function and hence continuous at every real number except for x is equal to minus 5. So our required answer is function f is a continuous function. This completes the session. Hope you understood the solution. Goodbye.