What is the inverse of the function f(x) = x - 9?
Answers
The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
From the question, the given function is
f(x) = x - 9
To determine the inverse of this function,
- First, let y = f(x)
That is,
y = x - 9
- Now, make x the subject of the equation
To do that, add 9 to both sides
We get
y +9 = x - 9 +9
y + 9 = x
∴ x = y + 9
- Now, rewrite as f⁻¹(x) by replacing y by x
That is,
f⁻¹(x) = x + 9
Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
Learn more here: brainly.com/question/16149814
Answer:
F^-1(x) = x+9
Step-by-step explanation:
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What is the LCD of thw fractions 1/3 and 11/15?
Answers
The correct answer is:
6.6 years.
Explanation:
Since he goes from making $28,000 per year to $14,000 per year, he will lose $14,000 each year that he works part-time. He intends to do this for 2 years; this will be a loss of $14000(2) = $28,000.
We will add the cost of his degree to this: 28,000+5,000 = $33,000.
He will be making $33,000 per year when he graduates. This is 33000-28000 = 5000 more per year than he made before.
To find out how many years it will take him to recover his investment, we divide the amount he loses, 33,000, by the extra amount he will make per year, 5000:
33000/5000 = 6.6
Answer: C 6.6 years
Step-by-step explanation: edge 2022
B. ) the number of people involved in the race
C.)the distance of the race
Answers
C) The distance of the race.
Explanation:
If one variable is written as a function of another, this means there is a relationship between the two variables.
There will be a relationship between the time it takes to finish a race and the distance of the race. The longer the distance of a race is, the more time it will take to finish it. Therefore the time can be written as a function of the distance.
The entry fee and the number of people involved can have no influence on the amount of time it takes to finish it.
Answers
13.2÷20=0.66
To get this into a percentage, multiply the 0.66 by 100, and get 66%, meaning that The Prisoner of Azkaban was sold only 66% as much as The Sorcerer's Stone.
Answers
Answers
Answer:
The simplified of is 4m .
Step-by-step explanation:
As given
L.C.M of (4,3) = 12
= 4m
Therefore the simplified of is 4m .
Distribute the fractions through the parentheses
2m - n + 2m + n =
Combine like terms
2m + 2m - n + n = 4m
Simplified Answer is 4m
cot (–270°) = 1
cot (–270°) = –1
cot (–270°) = 0
undefined
Answers
Answer:
cot(-270) = 0
Step-by-step explanation:
given cot ( -270)
In trigonometry function we will use cot ( -x) = -cotx
so cot (-270) = - cot270
trigonometry table
II quadrant I quadrant ( All positive)
sin θ 90+θ 90 -θ
cosec θ 180-θ 360+θ
third quadrant fourth quadrant
tan θ 180+θ cos θ 270+θ
cot θ 270 - θ sec θ 360-θ
Given
cot (-270) = -cot ( 270)
= - cot ( 180 + 90) (third quadrant above table)
= -cot 90 =0 ( cot θ positive in third quadrant
Final answer:-
cot(-270) =0
Final answer:
The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.
Explanation:
To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.
At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.
Learn more about Cotangent Function here:
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