Lesson 4-2 Operations on Functions

We can do some basic operations on functions.

We can add, subtract, multiply and divide functions.

If given functions f(x) and g(x):

The sum of functions f and g is

If given functions f(x) and g(x): The sum of functions f and g is

If given functions f(x) and g(x): The difference of functions f and g is

If given functions f(x) and g(x): The difference of functions f and g is

If given functions f(x) and g(x): The product of functions f and g is

If given functions f(x) and g(x): The product of functions f and g is

If given functions f(x) and g(x): The quotient of functions f and g is

Example: Let f(x) = x + 1 and g(x) = x 2 – 1, find a rule for each of the following functions.

Example: Let f(x) = x + 1 and g(x) = x 2 – 1, find a rule for each of the following functions.

Example: Let f(x) = x + 1 and g(x) = x 2 – 1, find a rule for each of the following functions.

Another way of combining functions is called composition of functions.

This is simply a process of substituting a functions rule in for the variable in a 2 nd function.

Example:

Assignment: Pgs C. E.  1-13 all, W.E.  1-19 odd