The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
Answer:

Step-by-step explanation:
Let
x ----> the number of hours
y ---> the total cost of renting a jet ski in dollars
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
The slope is equal to

we have the ordered pair (3,265)
substitute in the linear equation

solve for b


----> fee for a lesson on how to use the jet ski
substitute

Step-by-step explanation:
(X+3)(2x_9)
3x+12_12=90_12
3x=90_12
3x=78
X=26°
Answer:$100
Step-by-step explanation:
He need five periods of play time because 150 divided my 30 is 5. Then, you multiply 5 times the $20 because it is $20 for every 20 minutes.
Therefore, the answer is 20.
Are you working with simple interest?