Find the sum, the difference, the product, and the quotient of two functions, and determine the domains of the resulting functions.
Find the difference quotient for a function.
We now use addition, subtraction, multiplication, and division to combine functions and obtain new functions.
Consider the following two functions f and g:
Since and , we have
In fact, so long as x is in the domain of both f and g, we can easily compute , , , and, assuming , . We use the notation shown below. ...