Find the inverse function (find f^-1)
[tex]f(x)=\frac{x-2}{3x+3}[/tex]

I have the correct answer, I just don't know how to get to it.
answer is: [tex]f^{-1} =\frac{-2-3x}{3x-1}[/tex]

Answers

Answer 1

Step-by-step explanation:

f(x) = (x-2)/(3x+3). Let y = f(x).

Then y = (x-2)/(3x+3).

y(3x+3) = x - 2

3xy + 3y = x - 2

3xy - x = -3y - 2

x(3y-1) = -(3y+2)

x = -(3y+2)/(3y-1)

Hence, the inverse of f(x) is -(3x+2)/(3x-1).


Related Questions

(-7,6) rotated 90 degrees​

Answers

For a 90 Degree rotation the original x value becomes the new y value and the new x value is the opposite of the original y value.

The answer would be (-6,-7)

Which statements regarding triangle DEF are correct? Select three options.

EF is the longest side of △DEF.
DF = 6 cm
DE = 12 StartRoot 3 EndRoot cm
DF = 4 StartRoot 3 EndRoot cm
DE = 6 StartRoot 3 EndRoot cm

Answers

A, B, and E are the correct answers.

Answer:

Options 1, 2, and 5 are the correct ones

Step-by-step explanation:

what is the domain of the relation graphed below?

Answers

Answer:

I believe it’s the third answer!

Explanation:

The domain is what x values there can be, and the relation is between -4 and 4.
the third answer is the domain

6(x-2)/12=2(x+1)/7
What does x equal?

Answers

Answer:

x=6

Step-by-step explanation:

1. First, distribute the numerator. That leaves you with:

[tex]\frac{6x-12}{12} =\frac{2x+2}{7}[/tex]

2. Now, cross multiply. You should have:

[tex]7(6x-12)=12(2x+2)[/tex]

3. Next, simplify and solve the equation for x. You should have:

[tex]7(6x-12)=12(2x+2)[/tex]

[tex]42x-84=24x+24\\42x=24x+108\\18x=108x=6[/tex]

Solve for x
6x - 2/4 =x - 2
Enter your answer in the box.
x =

Answers

Answer:

0.3

Step-by-step explanation:

you would add -2/4 to both sides and subtract x from both sides to get 5x=1.5 which you can reduce to 0.3


Is it possible to draw a triangle with these measurements?
• Side lengths 2 cm, 3 cm, and 4 cm

Answers

Answer:

Yes

Step-by-step explanation:

To form a triangle, any 2 of the side lengths added together must be greater than the 3rd side. In this case 2cm + 3cm = 5cm which is greater than 4cm (the remaining side)

8 X-6
Multiplying & dividing integers find each product

Answers

Answer:

the answer is 48

but because there is -6 the answer will be -48

The answer is 48 hope it helps

4.61 gallons of milk is sold for $14.86. If you have $21.32 in your wallet. How many
gallons of milk you can buy?

Answers

Answer:

You can buy approximately 6.6 gallons of milk.

Step-by-step explanation:

We can solve this problem by making a proportion:

4.61 gallons/$14.86 = x gallons/$21.32

By cross-multiplying, we get:

4.61 × 21.32 = 14.86x

98.29 = 14.86x

x = 6.6 gallons

(x+42)3x. solve for x

Answers

Answer: X is equal to either 0 or -42

Step-by-step explanation:

Do you think Donald Trump..... Please answer the question from the picture

Answers

Answer:

For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.

Step-by-step explanation:

i need help on this math problem

Answers

The a awer is
-(1,5)

If there are 32 students in the class and two teachers, how many feet are there?

Answers

Answer: 68

Step-by-step explanation: 32 + 2=34 34*2 + 68 2 because a person naturaly has 2 feets  

Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.
How long will it take her to save enough money to buy the bike?

Answers

Answer: 8 weeks

explanation: 125 + 15x = 245

You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.

Three times the difference of a number and 5 is 24

Answers

Answer:

Step-by-step explanation:

3(x-5)=24

Here is the equation


3(x-5) = 24

Please help I will give out brainliest and 100 points

Answers

Answer:

The minimum thickness of the book is 53.8mm

Step-by-step explanation:

Given units/terms

400 pagesFront and back - 0.9mmEach page - 0.13mm

Solution:

(0.9mm)(2) + (0.13mm)(400) = 1.8 mm + 52.mm = 53.8mm

Answer:

min. thickness of the book is 53.8mm

Step-by-step explanation:

400 pages, each page thickness = 0.13mm

front and back cover thickness = 0.9mm

total thickness of the book = front + 400 pages + back cover

total = 0.9 + (400 x 0.13) + 0.9

total = 0.9 + 52 + 0.9

total = 53.8 mm

Solve the equation for x.
1/3 (6x - 15) = 1/2 (10x-4)

Answers

Answer:

x = - 1

Step-by-step explanation:

[tex] \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)[/tex]

Expand the terms in the bracket

That's

[tex] \frac{1 }{3} \times 6x + \frac{1}{3} ( - 15) = \frac{1}{2} (10x) + \frac{1}{2} ( - 4) \\ 2x - 5 = 5x - 2[/tex]

Subtract 5x from both sides

[tex]2x - 5x - 5 = 5x - 5x - 2 \\ - 3x - 5 = - 2[/tex]

Add 5 to both sides

[tex] - 3x - 5 + 5 = - 2 + 5 \\ - 3x = 3[/tex]

Divide both sides by - 3

[tex] \frac{ - 3x}{ - 3} = \frac{3}{ - 3} [/tex]

We have the final answer as

x = - 1

Hope this helps you

solve for p: 5(4x+p)=w

Answers

p = w/5 - 4x is the answer

Choose the answer that makes the sentence true.
integers are irrational.
No
Some
All

Answers

Answer:

Some

Step-by-step explanation:

The answer is Some

Answer:

some

Step-by-step explanation:

Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W. Which describes the intersection of line m and line n? point W point X point Y point Z

Answers

Answer:

A.point W

Step-by-step explanation:

The point that describes the intersection of line m and line n is point W. The correct option is A.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

As it is given that Line m intersects line n at point W. Therefore, The point that describes the intersection of line m and line n is point W. Thus, the correct option is A.

Learn more about Line:

https://brainly.com/question/21511618

#SPJ2

If SK = 8x - 9, KF = x + 3, and SF = 7x + 4,
find SF.

Answers

Answer:

SF = 39

Step-by-step explanation:

Which is an accurate conclution regarding the system of equations below ? Y=2/3x-1 and Y=3-2/3x

Answers

Answer:

Lets start with the given system of linear equations In order to solve for one variable, we must eliminate the other variable. So if we wanted to solve for y, we would have to eliminate x (or vice versa). So lets eliminate x. In order to do that, we need to have both x coefficients that are equal but have opposite signs (for instance 2 and -2 ...

Step-by-step explanation:

Answer:25

Step-by-step explanation: gnfxnhhfcngn bhh fxbx

solve for x; 3( x +1 ) +4x +3= 34

Answers

Answer:

X=4

Step-by-step explanation:

3(X+1)+4x+3=34

3x+3+4x+3=34

group like terms

3x+4x=34-3-3

7x=28

divide by 7

X=4

What is the value of y?
A. 36°
B.72
C. 108°
D. 54

Answers

Answer:

D. 54 degrees

Step-by-step explanation:

subtract 72 from 180 and divide by 2


3) John and his two friends went out to lunch.
Their lunches cost $7.29, $8.45, and $5.99. If
they each put in $10, how much total change will
they get back?
How much will 29

Answers

Answer:

they get 8.27$ back.

Step-by-step explanation:

Cost of lunch=$7.29+$8.45+$5.99

=$21.73

3 of them put $10 each=$10×3

$30

Total change they got back=$30-$21.73

=$8.27

Mark as a brainest answer ok

Formulae
The formula for working out the amount of
pasta, in grams, for a meal is

Amount of pasta=125 x number of people

Work out the amount of pasta needed for

A) 2 people
B) 10 people

Answers

Answer:

A) 250

B) 1250

Step-by-step explanation:

Amount = 125 x no. People

A) amount = 125 x 2 =250g pasta

B) amount = 125 x 10 =1250g pasta.

Hope this helped!

how many numbers are 9 units from 0

Answers

Answer:

two

Step-by-step explanation:

-9 and 9

Solve for x. x³ = 216

Answers

I got X = 6
If you replace x for 6 you should get 216

6^3 = 216



1. Explain how you can use the algebraic representation to determine the new coordinates of a point.

Answers

Answer:

Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.

Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.

Step-by-step explanation:

In a two-dimensional plane, coordinates of a point define its exact location. The coordinate plane has two axes that are perpendicular to each other which are known as the x and y axis.

To find out the coordinates of a point in the coordinate system, follow the following procedure.

Begin at the point, draw a vertical line either up or down to the x-axis to get the x-coordinate.

Begin at the point, draw a horizontal line either to the left or right of the y-axis to get the y-coordinate.

The x-coordinate and the y-coordinate determine the new coordinates of a point.

How much is a centidollar?

Answers

Answer:

1/100th of a dollar , the same value as a penny

What is a set of numbers are intergers but not whole numbers or natural numbers?

Answers

If you have negative numbers anywhere in the set, then that set cannot be part of the whole numbers or natural numbers. This is because

set of whole numbers = {0,1,2,3,4,5,...}

set of natural numbers = {1,2,3,4,5,...}

The only difference is that 0 is not included in the set of natural numbers. Neither set has negative values in them.

So for instance the set {-5, 1,2,7} involves a number that is neither part of the whole numbers or natural numbers set. But every item listed is an integer

set of integers = { ..., -3, -2, -1, 0, 1, 2, 3, ... }

We can see that the integers is the set of positive and negative whole numbers, with 0 as well

Answer:

All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

Step-by-step explanation:

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