Mathematics High School

Find the inverse of the function. Show work.
g(x)= - 3/x-2 +2

Answers

Answer 1

Answer:

[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]

Let's find the inverse of g.

Call y=g(x):

[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

[tex]y(x-2)=-3+2(x-2)[/tex]

Operate:

[tex]yx-2y=-3+2x-4[/tex]

Collect the x's to the left side and the rest to the right side of the equation:

[tex]yx-2x=-3-4+2y[/tex]

Factor the left side and operate on the right side:

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

Solve for x:

[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]

Interchange variables:

[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]

Call y as the inverse function:

[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]

Related Questions

Im trying to plot a slope function on a graph ​

Answers

Answer:

Graphing from slope

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

what can u use to find the value of x?

Answers

To find the value of X bring the variable to the left side and bring all the remaining values to the right side then simply the value to find the result.

PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.

Answers

Answer:

3(x+16)= 4x-8

x=56

Step-by-step explanation:

3(x+16)= 4x-8

use distributive property

3x+48=4x-8

add 8 to each side

3x+56=4x

subtract 3x from 4x

56=x

check work

3(56+16)=4(56)-8

distributive property again

168+48= 224-8

add the left side

216=224-8

subtract the right side

216=216

tada

Ebony bought 4 cans of Soup A for $6.00.

For each soup, indicate whether the soup has the same price per can as Soup A.

Soup B: 2 cans for $5.00
Soup C: 3 cans for $4.50
Soup D: 5 cans for $5.00
Soup E: 6 cans for $9.00

Answers

soup b; no
soup c; yes
soup d; no
soup e; yes

Help me first one gets brainliest IF they’re right

Answers

Answer:

C

Step-by-step explanation:

You divided it, 752 by 3, and you will get 250.6 repeating! This is important to rember.

Select the correct answer.
Which statement is true about the slope of the graphed line?

Answers

Answer:

A

Step-by-step explanation:

umm so for some reason I cant submit my answer unless theres 20 characters. :)

Match each equation with its solution

Answers

3/2x=6 answer:4
X/2=-4 answer: -8
-5x=26 answer:-5.2
X/-7.2=-4 answer: 28.8

Answer:

3/2×=6 is x equals 4

×/2=-4 equals -8

-5×=26. equals -5.2

× over -7.2 =-4 equals 28.8

A 10-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour? URGENT PLEASE ANSWER ASAP!!!

Answers

Answer:

1 inch per hour

Step-by-step explanation:

1 hour it burns 1 inch

Me fus wants to raise 4.700 for her school. She meets this goal by selling 800 jars of maple syrup. How much did she make in profit for 1 jar sold?? Explain the answer

Answers

Answer:

5.87

Step-by-step explanation:

4,700 divided by 800=5.875

Is 2 - 91 positive or negative?

Answers

Answer:

Negitive

Step-by-step explanation:

2-91= -89

Answer:

negative

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)
Please hurryyyyyy thank you

Answers

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

Identify all sets to which this number belongs: -459*

Natural, Whole, Integer
Whole, Irrational
Whole, Integer
Integer, Rational
Irrational

Please help!

Answers

Answer:

-459 is rational, and an integer

what are the five lessons or skills you learned in your t.l.e
9​

Answers

Answer:

Step-by-step explanation:

Throughout life, we learn lessons and skills that drastically change the way we view the world and the decisions we make. For me, the lessons and skills that were the most important were the following ...

Don't be jealous of what others have.Invest as much as you can in your 20'sLearn to codeLearn to play GuitarHave goals.

All of these lessons and skills have helped me visualize a future that would make me happy and has even opened some doors which would help make such a future a reality.

Two sides of a rectangle are the same length, r. The other two sides are each 4 meters.
The perimeter of the rectangle is 26 meters,
Write an equation that represents
the situation.

Answers

Answer:

4 times 4 plus 10

Step-by-step explanation:

there are waaaay more ways than just this there is

( 8 times 2 ) plus ( 5 times 2 )

and

( 5 plus 5 ) plus 16

plz mark me as brainiest

Answer:

equation=  2r+8=26

r = 9

Step-by-step explanation:

i got this lesson that's the answer.

2r+8=26

    -8  -8

 2r = 18

18/8 = 9

r=9

Mrs. Clark purchased a box of pencils.
The purchase price was $1.80 for 12
pencils. How much did she pay for
each pencil?

Answers

Answer:

0.15 cents

Step-by-step explanation:

1.80 (price) divided by 12 (amount) = 0.15 cents per pencil

Mike discovered an error in his checking account register and when he recalculated his balance he
was overdrawn in the amount of -$738.57. Mike saved two of his paychecks in the amount of $300.40
each in case of emergencies. If Mike deposited the amount he saved, what would be his current balance?

Answers

Answer:

Mike would have -438.17, poor mike lol

Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.

What is m angle D?

Answers

The answer is m<D=14*

Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have

Answers

Answer:

3

Hope this helps

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

5/8 z + (-2.5) = 2.5 worded

Answers

Answer:

Step-by-step explanation:

2.5 subtracted from (5/8)th of z gives 2.5

Convert 35 kilometers to miles

Answers

Answer:

The answer would be 21.248 miles

Answer:

35 kilometers = 21.748 miles

a) Find the value of: 659 x
17 + 659 x 13 + 659 x 70​

Answers

Answer:

1000000

Step-by-step explanation:

Your birthday was this week and you are heading to the mall to spend your birthday money! You are planning to
spend at least $150 but no more than $200. You are looking to buy some pairs of shoes (s) that cost $50 each.
How many video games you can buy with your birthday money?
Solution: You can buy between
and
pairs of shoes with your birthday money,

Answers

Answer:

how much do the video games cost

Step-by-step explanation:

Increasing 20 to 40 is the same as increasing 20 by
. So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of
. So, it is a 50% decrease.

Answers

Answer:

whats the question?

2 multiplied by 7 1/3

Answers

Answer:

44/3

Step-by-step explanation:

2 * 22/3

44/3

Or, 14 2/3

A sewing kit includes a spool that holds 24 yards of thread

How many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)

Answers

Answer:

864 inches

Step-by-step explanation:

12*3=36

36*24=864

A sewing kit includes a spool that holds 864 inches of thread.

Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches

Thus, A sewing kit includes a spool that holds 864 inches of thread.

Learn more about measurements here:

https://brainly.com/question/4725561

#SPJ2

Help ASAP PLZ HELP ME​

Answers

Answer:

Step-by-step explanation:

the sum of angles of triangle=180 degrees

one angle=90 degrees

180-90=90 degrees is the measure of the other two angles

since the two angles are congruent or equal

90/2=45 degrees

the measure of the 2 angles =45 degrees each

A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?

Answers

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

You do 24 times 5 to find out how many stones were in all. Which is 120. Then you take 120 and divide it by 6 students which is 20.

solve the equation by graphing
2x^2+4x=70

Answers

Answer:

Step-by-step explanation:

Please give brainliest if this helped:)

I need help with this

Answers

Answer:

w=8

Step-by-step explanation:

1(8)+12=2(8)+4

8+12=16+4

20=20

a square has been cut out of the shaded rectangle. calculate the area of the shaded part of the rectangle

Answers

Answer:

u got zoom class in session ??

Step-by-step explanation:

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