By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.
<h3>How to determine the value of the inverse of a function</h3>
In this question we must determine the inverse of a given function and evaluate the resulting expression at a given value. First, we apply the following substitution:
f⁻¹(x) = x
x = f(x)
x = (2 · f⁻¹(x) + 1)/(f⁻¹(x) - 4)
Then we clear f⁻¹(x) within the expression:
x · (f⁻¹(x) - 4) = 2 · f⁻¹(x) + 1
x · f⁻¹(x) - 4 · x = 2 · f⁻¹(x) + 1
x · f⁻¹(x) - 2 · f⁻¹(x) = 4 · x + 1
f⁻¹(x) · (x - 2) = 4 · x + 1
f⁻¹(x) = (4 · x + 1)/(x - 2)
Lastly, we evaluate the function at x = 3:
f⁻¹(3) = (4 · 3 + 1)/(3 - 2)
f⁻¹(3) = 13
By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.
To learn more on inverse functions: brainly.com/question/2541698
#SPJ1
The win-to-loss ratio of 5:3 is a "part-to-part" ratio, so we can represent each part as a fraction of the whole. We can do this by simply adding 3 + 5 = 8 (the "whole") and dividing by that total. This gives us a ratio of Images, which means that the Bombers won Images of their games and lost Images of them. Since they played a total of 120 games, they won Images games and lost Images games.
Answer:
5
Step-by-step explanation:
<u>P</u>arenthesis
<u>E</u>xponents
<u>M</u>ultiplication
<u>D</u>ivision
<u>A</u>ddition
<u>S</u>ubtraction
<em><u>Following the order, first is parenthesis:</u></em>
3 · 5 - 2(5)
<em><u>Multiplication:</u></em>
15 - 10
5
Math homework, im excillent at math but dm me
[email protected] and ill sent you the A
