HELP! The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Use the graph of f and the table of g to determine the limit of 2 times begin quantity f of x end quantity squared minus 3 over f of g of x as x approaches 6 according to limit theorems. (3 points)

Find the limit of f of x as x approaches negative 2 or explain why it does not exist. Use correct limit notation in your answer. (3 points)

If f(x) = x2 − 2x and g of x equals 1 over the square root of begin quantity x minus 1 end quantity plus 1, then find the limit of f of x times g of x as x approaches 2. Justify your answer and use correct limit notation in your work. (4 points)