Answers
Answer:
\(f^{-1}(x)=\frac{2x}{x-1}\)
Step-by-step explanation:
Start by replacing f(x) by the variable "y" and solving for x in the equation:
\(f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}\)
Now do the final replacement using the inverse function notation, and replacing "y" with "x":
\(x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}\)
The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)
Since the function can be rewritten as;
y = x/x-2By making x the subject of the function;
yx - 2y = x x (y -1) = 2yx = 2y/(y-1)By swapping x and y; we then have;
y = 2x/(x-1)The inverse function is therefore; f-¹(x) = 2x/(x-1)
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Related Questions
Can someone answer this question for me? asap please
Answers
Answer:
a) If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.
b) If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.
c) If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².
Step-by-step explanation:
a) To solve, set up a proportion. Volume is three-dimensional, so we need to cube.
(7/8)³=1029/x
Now we can solve using cross products to get 1536.
If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.
b) To solve the second one, we also set up a proportion. Height is one-dimensional, so we will not need exponents here.
7/8=14/x
Solve using cross products to get 16.
If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.
c) Now we are solving for area, which is two-dimensional. Therefore, we will need to square.
7/8²=392/x
Solve using cross products to get 512.
If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².
Hope this helps and good luck on your homework! For additional resources, check out The Maths Prof: Similarity parts 1-3.
help me asap please Which expression calculates the speed in feet per second of an object that travels a distance of 60 feet every 20 seconds?
20 plus 60
20 divided by 60
60 times 20
60 divided by 20
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60 is distance
20 is time
60/20 = speed
60 divided by 20 is the answer
Drag each object to show whether distance is proportional to time in the situation represented.
Answers
Help Me On One Of These Please!
Answers
2. 6 throws
3. 13 throws
Explanation: just counted the numbers under the leaf part hope i helped
PLEASE HELP LOOK AT THE IMAGE
Answers
Answer:
33.(333)%
Step-by-step explanation:
1/3 of the pie is less than 3, so 33.(33)%
From a sample tray, 3 of the last 9 cake samples chosen were chocolate. What is the experimental probability that the next price of cake taken will be chocolate?
Answers
Answer:
\( \frac{3}{9} \)
3/8r-1/4r+2s please i need help!!
Answers
3x7r x (4r+2s)
21r x (4r+2s)
5 1/2 is how many half cups?
Answers
(-5)^-4 Write it as a positive exponent
Answers
Answer:
625
Step-by-step explanation:
-5 x -5 = 25 and -5 x -5 = 25.
Then you would take 25 x 25, which is 625.
This would normally be negative, but the exponent is also negative, and negative times another negative cancels each other out.
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
will mark brainliest ONLY if you explain how it is the correct ;3
the largest number of four digits exactly divisble by 88 is:
a)9768
b)8888
c)9988
d)9944
Answers
Answer: D
Divide each number by 88
9768 ÷ 88 = 111
8888 ÷ 88 = 101
9988 ÷ 88 = 113.5
9944 ÷ 88 = 113
Since D is the largest whole number the answer is D
Divide each number by 88
9768 ÷ 88 = 111
8888 ÷ 88 = 101
9988 ÷ 88 = 113.5
9944 ÷ 88 = 113
Since D is the largest whole number the
answer is D
Can you help me with this?
Answers
Answer:
88 units squaredStep-by-step explanation:
I'll solve both of the triangles separately and then add it all together.
Triangle 1;
5*4*0.5 =
10
Triangle 2;
5 * 4 * 0.5 =
10
Rectangle;
17 * 4 =
68
(10 + 10 + 68) =
88
Thus, the area of the trapezoid is 88un.^2
A drum company advertises a snare drum that is 2 inches high and 12 inches in diameter. Find the volume
of the drum to the nearest tenth. Use 3.14 for
The volume of the drum is about
ins.
Answers
Answer:904.78
Step-by-step explanation:
What is the surface area?
Answers
Answer:
the second option
Step-by-step explanation:
I hope this helps you!
Answer:
Step-by-step explanation:
It is indeed the second option i took the exact exam =)
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Answers
Answer:
\(9ft\)
Step-by-step explanation:
\(16ft-7ft=9ft\)
hope this helps!!!
yeah i need help asap
Answers
Answer:
144
Step-by-step explanation:
please help I will appreciate it
Answers
Answer:
c. no solution
Step-by-step explanation:
i hope this helps :)
Answer:
c
Step-by-step explanation:
they are parallel so they won't intercept. therefore they won't have a solution
PLZZZ help with this its pretty simple!
Answers
Step-by-step explanation:
the parenthesis are there just to confuse you. Since there are no negatives or numbers outside of the parenthesis, you do not need them.
2x^3-5+x^3+3
add like terms
3x^3-2
Hope that help :)
ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
141 in²
Obviously don't write 141 in² because they've already wrote the in² part for you
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
Leandro has four cubes like this one: He sticks them together to form the solid shown here and paints it blue all over. A week later, he separates the four cubes. What fraction of the total number of faces is WHITE?
Answers
Answer:
Step-by-step explanation: Each cube has a total of 6 sides. In the model, the top cube has 1 "hidden" side/1 side that is not exposed to the paint, the bottom middle has 1 "hidden" side, the right bottom cube has 1 "hidden" side, and so does the left. Adding up all the sides that are not exposed to the paint, there is a total of 4 white sides.
The cubes are stuck together in three places
2 faces are glued at once
2 faces x three places = 6
6/24 faces are white
what is the value of q?
Answers
Answer: q=70°
Step-by-step explanation: 52°+58°+q=180°
next q=180°-110°
so q=70°
52+58 gives you 110.
180 is the half of a full rotation, so the straight line is 180 degrees.
180-110 would give you 70 degrees.
Could someone please help me
Answers
Answer: Answer:
Step-by-step explanation: Step-by-step explanation:
can someone help me with this math problem? here is what it is
it is numbers 22 and 23.
Answers
J(4,4) k(3,4) L(1,1) M(4,1)
Please help!!!!
{Screenshot}
Answers
Answer:
Step-by-step explanation:
c i took the tes
Sorry for the bad handwriting
yall fr please help, this was due yesterday and im trynna turn it in
Answers
Answer:
7d 8e 9c 10a 11b
Step-by-step explanation:
- 4^2 + 3^2 ÷ 3
Show all work pls need help
Answers
Answer:
- 13
Step-by-step explanation:
PEMDAS:
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtractions
Step 1:
- 4² + 3² ÷ 3 Equation
Step 2:
- 16 + 9 ÷ 3 Exponents
Step 3:
- 16 + 3 Divide
Answer:
- 13 Add
Hope This Helps :)
Suppose Serena invests $2,500 for 3 years and 6 months and earns $328.13. What was the rate of interest as a percentage? Round your answer to the nearest hundredth of a percent. please somebody help me with this!
Answers
Answer: 4.38%
Step-by-step: Assuming simple interest, we start by writing the formula for simple interest.
please help me I'm very confused
Answers
You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?The faster jogger will finish a five-kilometer race ______
minutes sooner than the slower jogger.
Answers
Answer:
1. Your friend.
2. 2.5 Minutes (I think)
Answer:2 or 2.5 i don't know
Step-by-step explanation: