A) Write a difference quotient that best approximates the instantaneous rate of change of g at x=2.5. (b) Let h be the function defined by h(x)=g(f(x)). Find the value of limx→3h(x) or explain why the limit does not exist. Use correct limit notation in your answer.

(c) Let k be the function defined by k(x)=(4−f(x))g(x). Consider x=2 and x=4. Determine whether k is continuous at each of these values. Justify your answers using correct limit notation.

Please show all your work!!