Answer question 17 and it's parts. Ignore my work that I tried to do. Thanks...

No Calculator --- No Calculator --- No Calculator --- No Calculator --- No Calculator --- No Calculator Part IV. Free Response: No calculator is permitted. Be sure to show all your work. Write directly on this sheet. Point values are given in ( ). 17. Let f(x) and g(x) be the functions shown in the graph below. 1 = 9(2) I -5 a. Find lim f (g (x)) (2 points) + 2 b. Find lim [f (x) + g(x-5)] (2 points) lim f (g( + ) ) ) = 1 * -72 *71 f ( x ) +5 ( + - 5 ) lim ONE ONE * - 7 - 4 DNE X c. The graph of the function f(x) is shown in the xy plane above. Let h(x) be a function that is continuous and increasing for all x. Values of h(x) at selected values of x are shown in the table below. (2 points) O x -0.1 -.01 -.001 0.001 0.01 0.1 h(x) 2.988 2.997 2.999 3.001 3.003 3.012 3 + 3 Using the graph of f(x) and the table for h(x) estimate lim (f (x) - h(x)) 9 +9 - 8 x lim * ( t ) = 3 1 14 3 - 13 X * - 70 * - 70 3 + 3 * 3 6 5 9 + 2 7 * 3 2 8 1 d. Define g(x) x* - 16, x53 "(x2 + 2x - 8, x> 3' . Let h(x) = 8(xx) - 2 (Worth 3 points) 3 2 = 9 + 6 + 7 I - + 2 Evaluate lim h(x). Be sure to show proper limit notation throughout your solution. lim x 4 - 16 9 ( + ) + 73 - K like B X 81 - 16 X * 7 2 X - 2 lik DOE 3 - + 2 ( 3 ) - 8 4 72 = ONE * 7 3 + X - 2 9 + 6 - 8