6) Assume that fix) $ g(x) Sh(x) is true for all real numbers x , except for x = 9. Furthermore, suppose that "the limit of f(x) as x approaches 9" is 12 & suppose that "the limit of h(x) as x approaches 9" is 12. a) Is it valid to say that "the limit of g(x) as x approaches 9" must also equal 12? bj Justify your answer in part (a) with a good explanation. 7) Suppose that the function y = f(x) is continuous for all real numbers. a) If f(3) = -7 & f(5) = 1, then is it valid to say that there must exist a number k such that f( k) = 0 and kis between 3 and 5? b) Justify your answer in part (a) with a good and well-detailed explanation. 8) Suppose that f is a function such that "the limit of f(x) as x approaches 2" is equal to f(2). What can we say about this function?9) Find the first derivative for each function. To earn full credit, show your work and state the Derivative Rule(s) that you are using for each one of these. Simplify your answers & combine like terms. Neatness counts. Put your answer in the provided blank. 4xi+sinx 3) (x) = F'(x) = b) h(x) = (4x+1)sin(x]) hix=