Answer:
The inverse function is f(x) = (x + 7)/2
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = 2x -7
x = 2f(x) - 7
Now solve for the new f(x). The result will be your inverse function.
x = 2f(x) - 7
x + 7 = 2f(x)
(x + 7)/2 = f(x)
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
The expression that represents waste reduction is w - 0.35x.
The paper waste produced now is 5.2 pounds per month.
<h3>What is the expression that represents waste production?</h3>
The exression that represents waste production is the total amount of waste generated less athe reduction in waste.
w - 0.35x
Waste now produced = 8 - 0.35 x 8 = 5.2 pounds
To learn more about mathematical expressions, please check: brainly.com/question/11980704
F(x) = 3 - 2x
g(x) = 1/(x + 5)
(f/g)(x) = (3 - 2x) / 1/(x + 5) = (3 - 2x)(x + 5)
(f/g)(8) = (3 - 2(8))(8 + 5) = -13 x 13 = -169
Answer:
2
Step-by-step explanation:
2 tuijnbb
