Domains of Expressions

Use interval notation in your solution.
2. Consider the expression y =
x − 1
x
2 − 1
and y =  1
x + 1
.
a. For what values of x do the two expressions evaluate to real numbers which are equal to each
other?(Hint: It will be helpful to look at the values of x where they are not equal.)
b. Is he set of x−values you found in part (a) same as the domain of which expression?
3. Let y =
x
2 − x − 6
x − 3
.
a. Show that y =
x
2 − x − 6
x − 3
, simplifies to y = x + 2.
b. Fill in the y−values in the table below, or state that they do not exist.
x y =
x
2 − x − 6
x − 3
y = x + 2
2
2.9
2.99
3
3.1
3.01
4. Based on your answers from problem 3, sketch the graphs of y =
x
2 − x − 6
x − 3
and y = x + 2.

how does the two graphs differ?