# Name Period _____ Due 01/22/16 Score____/10 Problems of the

```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 &lt; 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?
```