Find the inverse of the following function. g(x) = 1/x - 2

plz show work

A.) g^-1(x) = - 2/x-1

B.) g^-1(x) = 2/x-1

C.)g^-1(x) = 1/x+ 2

D.) g^-1(x) = 2/x+1

Answers

Answer 1

Answer: C. g^(-1) (x)= 1/(x+ 2)

Step-by-step explanation:

y=1/x-2

x=1/y-2

1/y-2=x

1/y=x+2

1=(x+2)y

1=xy+2y

xy+2y=1

(x+2)y=1

y=1/(x+2)

answer: g^(-1) (x)= 1/(x+ 2)


Related Questions

A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:

a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.

Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced

Answers

Step-by-step explanation:

W = Set of projects the guitarist wrote

P = Set of products he produced

A bass guitarist worked on 15 music projects last year.

Universal set = 15

He wrote and produced 5 projects.

W ∩ P = 5

He wrote a total of 9 projects.

W = 9

The Venn Diagram is given in the attached image.

a. How many projects he wrote but did not produce (W - P)?

W - P = W - W ∩ P

W - P =  9 - 5 = 4

He wrote 4 projects but did not produce them.

b. How many projects he produced but did not write (P - W)?

Universal set = (W - P) + (P - W) + W ∩ P

15 = 4 + (P - W) + 5

(P - W) = 15 - 9 = 6

He produced 6 projects but did not write them

find the value of x in the equation below.

x+1=6

Answers

X+1=6
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution

Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0

Answers

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0

help me i need help help me help me

Answers

It’s 21 because if u divide you’ll get it again

HELP HELP PLEASE IM BEGGING YOU HELP!

Answers

Answer:

22 * n + 4

Step-by-step explanation:

4(y - 3) =
Use distributive property to complete the equivalent expression

Answers

Answer:

Step-by-step explanation:

4(y-3) = 4y - 4·3 = 4y - 12

The equivalent value of the expression is A = 4y - 12

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 4 ( y - 3)

On simplifying the equation , we get

A = 4 ( y - 3 )

So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )

Opening the parenthesis on both sides , we get

A = 4 ( y - 3 )

Using the distributive property , we get

A = 4 ( y ) - 4 ( 3 )

On further simplification , we get

A = 4y - 12

Taking the common factor as 4 , we get

A = 4 ( y - 3 ) = 4y - 12

Therefore , the value of A = 4y - 12

Hence , the expression is A = 4y - 12

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Find the slope of the line that passes through the points (2,8) and (6,8).

Answers

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8 i thinkkk

Step-by-step explanation:

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8

Step-by-step explanation:

A frog can hop a maximum speed of about 60 feet every 4 seconds. How far can he hop in 30 seconds

Answers

Answer:

its 180

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

15x30=450

What is the area, in square feet, of the rectangle shown below?

Answers

Answer:

D

Step-by-step explanation:

= 34/5 × 19/4

= 646/20

= [tex]32 \frac{6}{20} [/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

For better understanding check the calcualtion here .

Calcualtion :

Area of the rectangle is the space inside the given triangle .

Formula : Formula  to find the area of the triangle is length times width

Length and width are given as mixed fractions

Lets convert mixed fractions into improper fractions

[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]

Now we find out the area

[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]

Now we divide the number and find out the quotient and remainder

[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]

The area of the given rectangle is    [tex]32\frac{6}{20}[/tex] square feet

Learn more information about 'Area of rectanlge ' here

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How do I add 1/8 + 2/6

Answers

11/24
Decimal: 0.4583

Answer:

3/24 + 4/24 = 7/24

Step-by-step explanation:

Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.

Need help in math!!!!!!!!

Answers

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.

Answers

Answer:

3/7 cup

Step-by-step explanation:

Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.

Let the cookies = x

Then the bread = x - 1/8 x = 7/8x

The brownies = cookies - 1/4 cookies

The brownies = 3/4 cookies = 3/4 x

==============

Now start again.

The bread uses 1/2 cup.

That translates into 1/2 = 7/8 x

x = 1/2 // 7/8 = 4/7 cup for the cookies    (4/7 is larger than 1/2)

Whatever the cookies are, the brownies take 3/4 as much

4/7 * 3/4 = 12/28 = 3/7

The answer should be 3/7 of a cup.

9514 1404 393

Answer:

  3/8 lb

Step-by-step explanation:

If all units are pounds, then we have ...

  bread = cookies - 1/8 lb

  cookies = brownies + 1/4 lb

  bread = 1/2 lb

Using the last value in the first equation, we find ...

  1/2 lb = cookies - 1/8 lb

  cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides

Using this in the second equation gives ...

  5/8 lb = brownies + 1/4 lb

  3/8 lb = brownies . . . . . subtract 1/4 lb from both sides

__

Lila used 3/8 lb of flour to make the brownies.

Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).

Answers

Answer:

y=1/2t+1

Step-by-step explanation:

To get a perpendicular line, the slopes have to be reciprocals.

A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax

Answers

9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

Is either x = 6 or x = 8 a solution to 12 + x = 20? O A. Neither is.a solution. B. X = 6 is a solution, but x = 8 is not. C. X= 8 is a solution, but x = 6 is not D. They are both solutions. SUBMIT​

Answers

Answer:

C. x = 8 is a solution, but x = 6 is not

Step-by-step explanation:

12 + 6 = 18

12 + 8 = 20

20 - 12 = 8

the sum of 36 and 3c​

Answers

Answer:

Step-by-step explanation:

just add 36 and 3

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth?

Answers

Step-by-step explanation:

the answer of this question is 5.39

I have to find out what m

Answers

The answer is A there you go
The answer is A.hope this helps

3 Times Square root of 200 simplified

Answers

Answer:

C. [tex]30\sqrt{2}[/tex]  

I hope this helps!

The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .

To simplify the expression 3 times the square root of 200, we can break it down into smaller components .

First, let's simplify the square root of 200 :

√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2

Now, we substitute this simplified value back into the original expression :

3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2

Therefore, the simplified form of 3 times the square root of 200 is 30√2 .

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1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29

Answers

Answer:

D

Step-by-step explanation:

4(z+ 4) + 5    z = 2

4(2+4)+5

4(6)+5

24+5

=29

Answer:

theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions

Step-by-step explanation:

calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30)

Answers

Answer:

The unit rate of change is of [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: [tex]\frac{3}{4}[/tex]



Find two integers whose sum is -9 and product is 14

Answers

-7, 2

-7 + -2 = -9

-7 * -2 = 14

Select the correct answer. For which quotient is x=7 an excluded value?

Answers

Answer:

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

Step-by-step explanation:

Given

See attachment

To answer this question, we start by equating the denominators of each option to 0; then, solve for x

(a):

[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]

This gives

[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]

Set the denominator to 0

[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]

Solve for x

[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]

Factorize:

[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]

[tex](x - 7)(x - 3)(x + 7) = 0[/tex]

This implies that:

[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]

From above, one of the values of x is 7.

This implies that x = 7 is an excluded value for this quotient.

Other options do not need to be checked, since there is only one answer.

Answer:

A

Step-by-step explanation:

A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.

Answers

Answer:

70

Step-by-step explanation:

Given that:

There are twelve (12) lines in a direction and another nine 9 lines in another direction.

If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.

i.e these 11 squares are 11 inches apart.

Hence, the length of their grid = 11  inches × 11 inches = 121  inches²

Thus, for 12 in by 12 in tiles; we will have:

= [tex]\dfrac {121}{12}[/tex]

= [tex]10 \dfrac{1}{12}[/tex]

This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.

Similarly, for 8 squares and 11 inches apart;

The width = 8 inches × 11 inches = 88 inches²

Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]

= [tex]7 \dfrac{1}{3}[/tex]

It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.

Thus, the least number of tiles required = 10 × 7 = 70

what minus 11 an that equalls 28

Answers

Answer:39

Step-by-step explanation:

If you add 28+11 you get 39 making 39-11=28

The answer is 39 because I just know the answer

Simplify
(45x6y%) = (5x4y2

Answers

Answer:

0 would be your anwswer

Step-by-step explanation:

Can someone plz do
A
C
D

Answers

Answer:

a) I think its 2n+1

c) I think its 6n+3

d) I think its 7n-4

I need help... plssss :))

Answers

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

Will mark brainliest!!
Solve for x

Answers

Answer:

The x=22

Step-by-step explanation:

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