Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain
your reasoning.
f(x) = |x|
g(x) = –x
f(x) = |x|
g(x) = –x
2 answers:
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Answer:
How many units need to be sold to produce the maximum revenue? 1000 units
How many in dollars is the maximum revenue when the maximum of units are sold? $350,000
Step-by-step explanation:
We get max value of a function if we differentiate it and set it equal to 0.
We need to differentiate r(x) and set it equal to 0 and solve for x.
<u><em>That would be number of units sold to get max revenue.</em></u>
<u><em /></u>
<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>
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Before differentiating, we see the rules shown below:
Where
f'(x) is the differentiated function
Now, let's do the process:
So, 1000 units need to be sold for max revenue
Now, substituting, we get:
The max revenue amount is $350,000
Answer:
Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:
In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly, . So