Note: (f/g)(x) can be written as
f(x)/g(x). This simply means f(x) divided by g(x).
We know what f(x) and g(x) are because that information is given to us in the problem. See it?
Set up the rational function and factor.
(x^2 - 9)/(x^2 -4x + 3)
We now factor the top and bottom.
(x - 3)(x + 3)/(x - 3)(x - 1)
Cancel out common terms.
We now have (x + 3)/(x - 1) as the reduced rational function.
To find the domain, set the bottom to 0 and solve for x.
x - 1 = 0
x = 1
The domain is ALL REAL NUMBERS EXCEPT FOR 1. In the given function, x CANNOT BE 3 because this would create a zero in the denominator.
Answer in interval notation is
(-00, 1) U (1, 3) U (1, 00).
The interval notation reads as follows:
All negative numbers included but not 1 united with the open interval that does not include 1 and 3 united with the interval that excludes 1 but includes all positive numbers greater than 1. I hope this is clear.
-3 > n is the same as n < -3 after you flip both sides and flip the inequality.
To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.
We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.
The graph is shown below.
Answer:
4.4
Step-by-step explanation:
hope this helps
Answer:
it's 4488 Wich would make 187
Answer:
y=2/3x-2
Step-by-step explanation:
All of the given options are in slope intercept form.
Slope intercept form is y=mx+b
This is where m is the slope fo the line and b is the y intercept
That said, we can simply plug the given values into the form.
y=(2/3)x+(-2)
Simplify
y=2/3x-2
