Question: lator Test 2. Let f(x) and g(x) be the functions shown in the graph below. 9 = 4 U = f (I) A y =

lator Test 2. Let f(x) and g(x) be the functions shown in the graph below. 9 = 4 U = f (I) A

lator Test 2. Let f(x) and g(x) be the functions shown in the graph below. 9 = 4 U = f (I) A y = g(I) a. Find lim f (g (x)) (2 points) b. Find lim [ f (x) +g(x -5)] (2 points) c. Using the definition of continuity at a point and mathematical notation, explain why y = g(x) is not continuous at x = 2. (2 points) d. Define h(x) = Sx2- 4,x 53 h(x) (x2 + 2 x - 8, x> 3- Let j(x) (3 points) x - 2 - Evaluate lim j(x) . Be sure to show proper limit notation throughout your solution. * + 21. Consider the functions f (x) and g(x) defined as the piecewise function and the graph below. f (x ) = 3x + 2, x

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