The income of the amusement park is a function of the price of the ticket
The entry price that will result in no income is $24
<h3>How to determine the entry price that results in no income</h3>The expression for the income is given as:
When the income is 0, we have the following equation
Factor out 4x
Split the equation
4x = 0 or 24 - x = 0
Solve for x
x = 0 or x = 24
This means that, the entry price that will result in no income is $24
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The value of (f· g)(x) from the given functions is .
The given functions are f(x)=x³+x+1 and g(x)=-x.
<h3>What is the function?</h3>Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here,
(f·g)(x)= f(x) × g(x)
= (x³+x+1) × (-x)
=
(g·f)(x)= g(x) × f(x)
= (-x) × (x³+x+1)
=
Therefore, the value of (f· g)(x) from the given functions is .
To learn more about the function visit:
brainly.com/question/28303908.
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