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Name _____________________________________________ Period _____ Due 01/22/16 Score____/10 Problems of the Week 17 Show all work and circle your final answer. No work = No credit!!! 1. If f (x) = |x| + 1 and g(x) = x – 3, what is the value of f (g(1))? 2. If 𝑓(𝑥) = √𝑥 + 1 for all values of x 0, and f (x) = x2 + 2 for all values of x < 0, what is the sum of f (-3) and f (8)? 3. Jon is making omelets. He has 3 different spices, 4 different vegetables, and 2 different types of eggs. If he will use one spice, one vegetable, and one type of egg, how many combinations of these ingredients can he make? 4. If f (x) = x2 and g(x) = x – 1, what is the value of f (g(3))? 5. Andrea subscribed to four publications that cost $12.90, $16.00, $18.00, and $21.90 per year, respectively. If she made an initial payment of one-half of the total yearly subscription cost, and paid the rest in four equal monthly payments, how much was each of the four monthly payments?