1. Let f(x) = 1/(x + 1) and g(x) = 3x + 8. Find f (g(x))
2. Let h(x) = (4x + 5)9 - 5. Find functions f (x) and g(x) such that f(g(x)) = h(x).
3. A car rental place charges a flat rate of $60 to rent a car plus 10 cents a mile. Write the amount charged as a function of how many miles the car is driven.
4. Assume that when paying income tax, you pay nothing for the first $10,000 you make and then pay 20% for any amount over $10,000.
What does a person making $55,000 pay?