This document discusses how to find the sum, difference, product, and quotient of functions. The sum of functions is found by adding the y-coordinates of each function. The difference is found by subtracting the y-coordinates. The product is represented as h(x) = f(x)g(x) and the quotient is represented as h(x) = f(x)/g(x). Examples are provided for adding and subtracting functions.

1. Sum and Differences of Functions
Combined functions can be formed by adding or
subtracting two or more functions.
The sum of two or more functions can be found by
adding the y-coordinates of the functions.
h(x) = (f + g)x
h(x) = f(x) + g(x)
Ex. If f(x) = 2x + 3 and g(x) = x - x - 5, find h(x) = (f + g)x

2. Similarly, the difference of two or more functions can
by found by subtracting the y-coordinates of the functions.
h(x) = (f - g)x
h(x) = f(x) - g(x)
Ex. If f(x) = 2x + 3 and g(x) = x - x - 5, find h(x) = (f - g)x

3. + 3 and g(x) = -2(x+1)

4. Products and Quotients of Functions
of two functions f(x) and g(x) is represented by
h(x) = (f • g)(x)
h(x) = f(x)g(x)
quotient of two functions f(x) and g(x) is represented by
h(x) =( )
h(x) = f(x)