Answer:
<u>Question 1</u>
The function
is one-to-one, so it does have an inverse.
The inverse of +6 is -6, so 
Therefore, g(x) is the inverse of f(x).
<u>Question 2</u>
The function
is one-to-one, so it does have an inverse.
To find the inverse, replace f(x) with y:

Rearrange the equation to make x the subject:



Replace x with
and y with x:

Therefore, g(x) is the inverse of f(x).
To find the total number of text messages sent, you will use the stem-n-leaf plot to create a data set of all the numbers of texts sent.
To read a stem-n-leaf plot you will use the number on the left as the tens place and each number to the right of it creates a new number in the data set.
See the key for help!
Here is the list of the all the data:
0, 0, 7, 9, 10, 10, 15, 20, 23, 32
To find the total number of text messages sent, add these together.
The answer is 126 text messages.
The answer is 340, not super good at math so dont know what scientific notation is but there you go
<span>So rather than think about how to find the whole numbers, let's try to find the two perfect squares nearest to 38. There is one greater than it and one smaller than it. The square root will lie between the squared value of each. (e.g. 64 is the perfect square, 8 is the squared value i refer to)
</span><span>
6 ,7. 6squared is 36 and 7 squared is 42
therefore 38 lies between these two numbers</span>
( 1635 ÷ 24 ) • 100 = monthly income
1635 ÷ 24 = 68.125
68.125 • 100 = $6812.50 a month