Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Answer:
6 3/7
Step-by-step explanation:
Remember, the mean is the average of the number
Meaning that you have to add up all the numbers then divide them by the amount of numbers there are.
3, 5, 6, 7, 9, 6, 8
(3 + 5 + 6 + 7 + 9 + 6 + 8) / 7
44 / 7
6 3/7
You didn't include the graphs. However, I can describe the graph for you, so you can select the correct graph.
First, the car slows. So look for a line segment that is pointing down diagonally. Then, it maintains the speed. Look for a line that is horizontal. Finally, it slows down again to a stop. Look for a line segment that slants downward and touches the x axis.
Let x be the initial deposited amount.
x + 10 will be the final amount
x + 10 = x(1.0003)
The initial amount will not be 0
x/x + 10/x = x(1.0003) / x
1 + 10/x = 1.0003
10/x = 0.0003
x = $33,333.33
You would need to deposit over $30,000
Answer: 6 1/15 inch
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Yuma: 2 2/3 inch of rain
</em>
- <em>Las Vegas: 4 1/5 inch of rain
</em>
So, to obtain the number of the two cities combined we simply have to add both values.
Mathematically speaking
2 2/3 + 4 1/15 = 2 10/15 + 4 1/15 = 6 1/15 inch
The 2 cities combined get an average of 6 1/15 inch of rain each year.
Feel free to ask for more if needed or if you did not understand something.