Answers
Hello!
[tex]\large\boxed{f^{-1} = \frac{5x+2}{4x-2}, f^{-1}(3) = \frac{17}{10} }[/tex]
[tex]f(x) = \frac{2x +2}{4x - 5}[/tex]
Find the inverse by swapping the x and y variables:
[tex]y = \frac{2x +2}{4x - 5}\\\\x = \frac{2y +2}{4y - 5}[/tex]
Begin simplifying. Multiply both sides by 4y - 5:
[tex]x(4y - 5) = 2y + 2[/tex]
Start isolating for y by subtracting 2 from both sides:
[tex]x(4y - 5) -2 = 2y[/tex]
Distribute x:
[tex]4yx - 5x - 2 = 2y[/tex]
Move the term involving y (4yx) over to the other side:
[tex]- 5x - 2 = 2y - 4yx\\\\[/tex]
Factor out y and divide:
[tex]- 5x - 2 = y(2 - 4x)\\\\y = \frac{-5x-2}{-4x+2} \\\\y = \frac{-(5x + 2)}{-(4x - 2)} \\\\y^{-1} = \frac{5x + 2}{4x - 2}[/tex]
Use this equation to evaluate [tex]f^{-1}(3)[/tex]
[tex]f^{-1}(3) = \frac{5(3) + 2}{4(3) - 2} = \frac{17}{10}[/tex]
Related Questions
Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer
Answers
Answer:
no
Step-by-step explanation:
y = -2x + 16
-2 = -2(10) + 16
-2 = -20 + 16
-2 = -4
which is wrong
Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.
y = -2x + 16 > -2 = -2(10) + 16
Now, solve.
-2 = -2(10) + 16 > -2 = -20 + 16 - Start by multiplying out parenthesis.
-2 = -20 + 16 > -2 = -4 - Add.
-2 = -4
The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.
A professional hockey team has 15 wingers. 5 of these wingers are 30-goal scorers. Every fall the team plays an exhibition game with the club’s farm team. In order to make the match more interesting for the fans, the coaches agree to select two wingers at random from the pro team to play for the farm team. What is the probability that two of the 30-goal scorers are selected to play for the farm team?
Answers
Answer:
Step-by-step explanation:
$ 53.70 divided by two different friends
Answers
Answer:
$26.85
Step-by-step explanation:
53.70÷2= 26.85
What is the circumference of the circle below?
Answers
Answer:
Step-by-step explanation:
circumference C=2*3.14*r
C=2*3.14*18m=113.04 m
Answer:
113.04 meters.
Step-by-step explanation:
Use the formula
2 times pi times r
r=radius of the circle
or Pi times D
d= diameter of the circle.
The radius is 18 meters.
So, do 2 times 18 times pi.
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.
Which expression shows the selling price after one monthly price reduction?
$5 + $5(1.50) – $5(0.25)
$5 + ($5)(0.25) – ($5)(1.50)
$5(2.50) – $5(0.25)
($5)(2.50) – ($5)(2.50)(0.25)
Answers
Answer:
D: ($5)(2.50) – ($5)(2.50)(0.25)
Step-by-step explanation:
I got it right on edg2020, now have a good morning/night luvs!
need help math question
Answers
My answer is 8 . Please check the answer.
An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent? (Calculate the discounted cost first and then find the tax on the discounted cost.)
Answers
Answer:
$27.59
Step-by-step explanation:
You multiply 30 dollars by 0.85 (1-0.15, with the 0.15 being for the 15 percent off). Which gets you to $25.50, and you then multiply it by 1.082 (the 1.082 being the tax, and the .082 part equating to the 8.2% tax percentage).
An airplane can seat up 175 passengers
Answers
okay okay 123
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
175-87=88 so 88 is where the dot needs to be located so we have option A and option B
For ≤ and ≥ , use a closed dot
For > and < , use a open dot
she said AT LEAST 175
so we would use a closed dot
3x−2/4=10
If you have a decimal answer, round to the nearest tenth!
Answers
Answer:
Step-by-step explanation:
3
−
1
⋅
2
4
=
1
0
3x-1 \cdot \frac{2}{4}=10
3x−1⋅42=10
Solve
1
Divide the numbers
3
−
1
⋅
2
4
=
1
0
3x-1 \cdot {\color{#c92786}{\frac{2}{4}}}=10
3x−1⋅42=10
3
−
1
⋅
1
2
=
1
0
3x-1 \cdot {\color{#c92786}{\frac{1}{2}}}=10
3x−1⋅21=10
2
Multiply the numbers
3
Add
1
2
\frac{1}{2}
21
to both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
Solution
=
7
2
x=\frac{7}{2}
x=27
If y=32 when x=8, find y when x=30.
Answers
*How to solve*
Step 1: Find how many times larger 30 is than 8
30/8= 3.75
Step 2: Multiply by y
32x3.75=120
Hope this helps comment below for more questions:)
Please help me out with this question please
Answers
A shop sells flower fertiliser in 25kg bags and in 50kg bags.
One week, the shop has two special offers for the fertiliser.
Offer A:
Offer B:
25 kg
50 kg
2 bags for £35
3 bags for £92.50
Which offer (A or B) is the best value for money?
You must show how you get your answer.
Answers
Offer A is correct sir
Step-by-step explanation:
!
Levi read 4 books in 16 months. What was his rate of reading in months per book?
Answers
Answer:
0.25
Step-by-step explanation:
The tallest building downtown is 40 stories and the shortest is 30 stories.
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
suppose you are offered a job that pays a base salary of $300 plus 5% commission on sales per week. Explain how to determine your weekly pay.
Answers
Answer:
You determine your weekly pay by taking your sales for the week, times 5%, or .05, then adding in your salary of $300
Step-by-step explanation:
a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when he used the coupon?
Answers
Answer: 14.2 I hope im Right but it’s a simple question
Step-by-step explanation:
Answer:
do whatever your instincts are telling you to do
Step-by-step explanation:
Area of a right triangle (7,6)
Answers
Answer: The answer is 21
Step-by-step explanation:
The area formula is 1/2 bh so if you take if you put the numbers into formula it = a=1/2(6)(7)
How many solutions does the following equation have?
4(5 - 2v) =4 - 8(v-2)
2)
(A) 1 solution
(B) No solutions
(C) Infinite Solutions
Answers
C. Infinite Solutions
Explanation- graph/plug in the two equations into a graphing calculator ( desmos is a good app )
What is the slope for the points (-2,-8) and (1,7)?
Answers
Answer:
5
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
7-(-8)/1-(-2)
15/3
5
Best of Luck!
WILL MARK BRANLIEST IF GOTTEN RIGHT
Answers
Answer:
1. Angles 2 and 5.
Step-by-step explanation:
Vertical angles are the angles that are opposite each other when two straight lines intersect.
Answer:
angle 2 and angle 5
Step-by-step explanation:
Solve the system using elimination.
3x + 2y = 13
X+ 5y = 13
Answers
Answer:
x=3 y=2
hope that helps
0/-5 is a rational number which is
Answers
Answer:
0
Step-by-step explanation:
its a negative rational number
Use the triangle angle-sum theorem and other angle relationships to find the missing angle measures
Answers
(90+40+x=180)
Second is 40 by the vertical angles theorem
Finally the third one is 45
Can someone help me?
Answers
Answer: man ion know anything abt that hru
Step-by-step explanation:
The ratio in simplest form
Answers
Select the employee who earns the most per hour.
Choose 1 answer
Answers
A pack of 6 gatorades costs $4.50. What is the price per Gatorade?
Answers
Answer:
$0.75
Step-by-step explanation:
Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.
4.50/6=0.75
Thus, $0.75 is your answer.
(Please Mark Brainliest.)
I need you to do all plssss
Answers
Answer:
9 = probably D(maybe A)
I'm not sure what the answer is for #9 but I think it is most likely D. A is multiply 6 by 4 which would be substituting the value of w, for w. D is adding 2 to 40 which is combining like terms.
10 = C, 65
40+p
40+25
65
what is the variable to 3x-5
Answers
Answer:
3 (2x + 3) + 11 = –2 (2x - 6) - 18
Answer:
-15
Step-by-step explanation:
this is because when a negative multiplies with a positive ....it gives an answer of negative
Spencer added 13 to the product of 224 and 16. What is the sum?
Answers
Answer:
256
Step-by-step explanation:
224+16=240
240+16=256
237 + 16 = 253
Answer = 253