Answer:
For number 9)
Interval notation
For number 10)
Interval notation: .
Step-by-step explanation:
On square roots you have to make sure the inside is positive or zero.
So the domain of the first one will come from solving
Subtract 6 on both sides:
Divide both sides by -2 (flip inequality when divide both sides by negative):
The domain is less than or equal to 3.
Interval notation
On fractions you have to watch out for dividing by 0.
The domain is all real numbers except when 4x+2=0.
4x+2=0
Subtract 2 on both sides:
4x=-2
Divide both sides by 4:
x=-2/4
Reduce:
x=-1/2
The domain is all real numbers except when x=-1/2
Interval notation: .