What is the domain and range of #y = (x^2 + 4x + 4)/( x^2 - x - 6)#?
1 Answer
See below.
Explanation:
Before we do anything, let's see if we can simplify the function by factoring the numerator and denominator.
You can see that one of the
The domain of a function is all of the
Since the function given is a fraction, dividing by
So, the domain is all real numbers EXCEPT
The range of a function is all of the
graph{(x+2)/(x-3) [-10, 10, -5, 5]}
We can see that as
We can also see that as
In set notation, the range would be written as follows: