Please answer the following equation
Q1.) Discuss the continuity of the function g(x) = (x^2-1) / (x-1).
Q2.) For the function f(x) = x^2 - 6x + 8
a) Use the Intermediate Value Theorem to show that the function has a zero on the interval [0, 3].
b) Find the value of "c" guaranteed by the theorem such that f (c) = 0.
Q3.) Write a rational function with vertical asymptotes at x = 6 and x = -2 and with a zero at x = 3.