1.Let f(x) = 12x^9 + x. Find f(3) + f(-3).
2.Which of these rules are functions? Select all that apply.
A inputs a real number, subtracts 100, then outputs the square root of the result if it is real.
B inputs a date, then outputs the name of a person born on that date.
C inputs a real number x , then outputs a real number y that is less than 1/(1000) larger than x.
D inputs a real number x , then outputs the result of the calculation .
E inputs a real number , then a coin is flipped. If the coin flips heads, the output is x+2 . If the coin flips tails, the output is x+3 .
F inputs a person, then outputs their birth date.
Write your answer as a list, separated by commas, with no other punctuation. Sample answer: A, B, D, E
4. Let \(f(x) = \dfrac{2-3x}{5-2x}.\) For what value of f(a)=3?
5. Let \(f(x) = \frac{3x + 3}{x + 1}.\) Find the domain of \(f\). Write your answer as interval notation.
6. Let \(Q(x) = \frac{2}{\sqrt{x}}.\) Find the domain of q. Write your answer in interval notation.