detailed solution

X . . . III. PROBLEM SOLVING 1. Consider the functions f and g whose graphs are shown below. 6 2 2 -6 -2 2 6 - -2 4 -2 -4 (a) Graph of f (b) Graph of g Determine the value of the following limits: (3pts each) (a) lim [(f o g)(x)] (b) lim [(go f)(x)] 2. Refer to the graphs given in item 2. Determine the interval/s where f and g are continuous. Identify any point/interval of discontinuity. Justify your answer based on the definition of continuity of a function. (6pts) 3. Evaluate the following limits. (4pts each) (a) lim I - V2x + 3 E-+3 4+x+9. (b) lim