Standard+2.1b-cj

Standard 2.1.b: Use function notation to add, subtract, multiply, and divide functions.
Function notation is simple all it means to do is plug in with the given value and find the solution.A **function** is a rule that takes an input, does something to it and gives a unique corresponding output. There is a special notation, called "function notation," that is used to represent this situation: if the function name is **//f//**, and the input name is **//x//** , then the unique corresponding output is called **//f//(//x//)** (which is read as " **//f//** of **//x//** ".)

There is nothing tricky about adding or subtracting functions. To add, or subtract, functions, first evaluate the given functions then perform the indicated operation. Below are two example problems. In this problem the //**x**// values are 3 and 4, you solve it by simply plugging in the values accordingly. to the f and g. Multiply and add the the products of both
 * Example Problem 1**

f(x) = 2x g(x) = 3x+1**
 * Functions:


 * What is f(3) + g(4)?**

2(3) + 3(4) +1=13
 * Answer

Example Problem 2 ** In this problem it is dividing. Same things apply, evalute each function and plug in the x values for **//x//** and **//g//** accordingly. You get the products from each function then divide them to find your solution.

f(x) = 3x**
 * Functions:
 * g(x) = 5x+2**


 * What is f(8) ÷ g(2) ?**


 * f(8) = 3 × 8 = 24**
 * g(2) = 5 ×2 +2 = 12**


 * Answer**
 * f(8) ÷ g(2) = 24 ÷ 12 = 2**


 * PODCAST FOR STANDARD 2.1b**