For the given functions, the domains are:
1) All real numbers.
2) D: x≥ -3
3) D: set of all real numbers such that x ≠ 0
4) D: 7 ≥ x ≥-7
5) All real numbers.
<h3>
How to get the domain of the given functions?</h3>
For any function, we assume that the domain is the set of all real numbers, and then we remove all the values of x that generate problems (like a denominator equal to zero or something like that).
1) f(x) = x^2 - 4
This is just a quadratic equation, the domain is the set of all real numbers.
2) f(x) = √(x + 3)
Remember that the argument of a square root must be equal to or larger than zero, so here the domain is defined by:
x + 3 ≥ 0
x≥ -3
The domain is:
D: x ≥ -3
3) f(x) = 1/x
We can assume that the domain is the set of all real numbers, but, we can see that when x = 0 the denominator becomes zero, then we need to remove that value from the domain.
Thus, we conclude that the domain is:
D: set of all real numbers such that x ≠ 0
4) f(x) = √(49 - x^2)
Here we must have:
49 - x^2 ≥ 0
49 ≥ x^2
√49 ≥ x ≥-√49
7 ≥ x ≥-7
The domain of this function is:
D: 7 ≥ x ≥-7
5) f(x) = √(x^2 + 1)
Notice that x^2 is always a positive number, then the argument of the above square root is always positive, then the domain of that function is the set of all real numbers.
If you want to learn more about domains:
brainly.com/question/1770447
#SPJ1
Answer:
9.2X + 13.4
Step-by-step explanation:
Combine like terms
The number of practice hours per week for Maranda's piano recital is 13 hours
Overall practice hours = 52 hours
Number of weeks of practice = 4 weeks
Since, the number of practice hours per week is the same ;
Number of hours practiced each week can be obtained by dividing the overall practice hours by the number of weeks of practice.
Number of practice hours per week = Overall practice hours ÷ Number of weeks of practice
Number of practice hours = (52 ÷ 4) = 13 hours
Therefore, Marana practiced for 13 hours each week.
Learn more : brainly.com/question/18109354
9 / 5/8 =
9/1 / 5/8 =
9/1 * 8/5 = 72/5 = 14 2/5
Answer:
$319
Step-by-step explanation:
add the money and then what u get for the money add it to the other numbers u have.
