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.
Answer:
B is the correct answer
Step-by-step explanation:
if 2 1/2 gallons is 1/2 pint oil then 5 gallons would be 1 pint of oil, therefore 10 gallons would be 2 pints of oil
we know that
tenths is equal to
% is equal to
so
tenths greater than% is equal to add
therefore
the answer is
First off when multiplying fractions you always multiply straight across. so the answer would be -5/12.
Answer:
6 3/8 inches (6.375 inches)
Step-by-step explanation:
For simplicity we'll assume that both the photo and the poster board are square. To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2: 6.375 inches (6 3/8 inches).
Set the photo 6 3/8 inches from each edge of the poster board.
