So the steps to find the inverse are:
- Change f(x) to y
- Switch the positions of x and y
- Solve for y
- Change y to f^-1(x)

Now let's solve for y as such:

<u>Your inverse is f^-1(x) = 3/2x + 3</u>
Answer: There are 5 guards on each team.
Step-by-step explanation:
Since we have given that
Number of forwards in basketball league = 32
Number of guards in basketball league = 80
We need to find the greatest number of teams possible.
We will find "H.C.F. of 32 and 80.
Since H.C.F. of 32 and 80 = 16
Number of guard would be

Hence, there are 5 guards on each team.
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
a) Yes it does, because the graph of their relationship is a Straight line
b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent
C)number of followers depend on the number of locks passing. It is dependent.
D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) = 18/3 = 6
It represents the increase in number of followers per week,
E) y-intercept is value of y when x=0
y-intercept = 82. It means his initial number of followers
F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.
Y=6x+82
Learn more about linear function here:
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Using an linear function, we have that:
- The inequality is:

- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
<h3>What is a linear function?</h3>
A linear function is modeled by:

In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:


Then:




The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
Answer:
C) They are perpendicular lines.
Step-by-step explanation:
We first need to find the slope of the graph of the lines passing through these points using:

The slope of the line that passes through (−12, 15) and (4, −5) is


The slope of the line going through (−8, −9) and (16, 21) is



The product of the two slopes is

Since

the two lines are perpendicular.