<h2>Evaluating Composite Functions</h2><h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
We can write how 
will be defined but that's too much work and it's only useful when we are evaluating with many inputs.
First let's solve for 
first. As you read through this answer, you'll get the idea of what I'm doing.
Given:
Solving for :
Now we can solve for 
, since 
, 
.
Given:
Solving for 
:
Now we are can solve for 
. By now you should get the idea why 
.
Given:
Solving for :
The set of all output values for a function is called the range.
Answer:
<em>It would take 28 months for Gym Strong to be a better buy.</em>
Step-by-step explanation:
There are two possible options for gyms to choose from:
Gym Strong charges $350 plus $15 a month
Gym Fit charges $100 plus $24 a month.
Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.
Let's solve this by analyzing the differences in fixed fees and monthly fees.
The difference of fixed fees is $350 - $100 = $250
The difference on monthly fees is $24 - $15 = $9
Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.
It would take 28 months for Gym Strong to be a better buy.
The second table. A linear function is a function where adding the same amount to x should add the same amount to y.
In table 2, you can see that adding 1 to x adds 2 to y. All the other tables describe non-linear functions.
