Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. f(x) = 3x2-2x+8 (a) f(a) = (b) f(a+h) - = (c) f(a+h) -f(a)= (d) f(a + h) f(a) = h Determine the domain of g(x). Give your answer using interval notation. x + 5 Domain: g(x) = 5x-40x + 35 Determine the domain of f(x). Give your answer using interval notation. Domain: x-8 f(x) = 17-2x Determine the domain of f(x). Give your answer using interval notation. 1 f(x) = x2 21x + 104 5x-1 if 4 x 9 if x > 9 Domain: x John works for the local used car dealership. His weekly salary is $375 plus a commission based on the number of cars that he sells. His commission is $60 per car for the first 9 cars sold each week. For any car over 9 sold each week, John earns a commission of $180 per car. Complete the piecewise function that can be used to calculate John's weekly salary, S, when he sells t cars each week. Note: Use the letter t as your variable. if 0 st 9 S(t)= if t> 9