What is the algebraic inverse of the function? f(x) = 2x -6 please include steps

Answers

Answer 1

9514 1404 393

Answer:

  f^-1(x) = (x +6)/2

Step-by-step explanation:

The inverse function is found by solving ...

  x = f(y)

Here that is the solution to ...

  x = 2y -6

  x +6 = 2y . . . . . add 6

  (x +6)/2 = y . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (x +6)/2


Related Questions

Find the value of x and y in the following diagram

Answers

the interior angles of triangle is alwas sums up to 180. so, you need to 180-40 to get the two angles below that u don’t know. you will get 140 and divide it again with 2 so you will get the angle for one side. 2x = 70 then just do x = 70/2 you will get the answer

Answer:

Below in bold.

Step-by-step explanation:

y = 40 degrees ( opposite angles)

The triangle on the left is isosceles so

2x + 2x + 40 = 180

4x = 140

x = 35 degrees.

ALGEBRA STUFF IS ANNOYING

Answers

Answer:

A?

Step-by-step explanation:

help me please (I had to write something to ask this question)​

Answers

Answer:

-5

Step-by-step explanation:

I think it would be -5 because if Celia had -3, that would take away from Janine, so then it would leave the points at 5. But, it says the team had 0 points all together, so wouldn't it be -5?

What cross sections might you see when a plane intersects a cone that you would not see when a plane intersects a prism or a pyramid

Answers

Answer:

the long They speaker by my parents waving the firstpassword of their Tain

Divide:
27.68) 2363.872

Answers

Answer:

85.4

Step-by-step explanation:

If Y = $1265, C = $660, and I = $325, solve for G.

Answers

Answer:

285

Step-by-step explanation:

assuming youre saying 1265 = 660 + 325 + g

Your mother drives 60 minutes at a constant speed of 40 miles per hour. She then speeds up, and drives for another 30 minutes at a constant speed of 70 miles per hour. How many miles does your mother travel all together? How long did the trip take?

Answers

Answer: written below

Step-by-step explanation:

1 hour time 40 miles/ hour =1*40=40miles

0.5 *70=0.5*70=35 miles

40+35=75 miles

60 minutes+30 minutes= 90 minutes or 1 1/2hours

how do you solve -5=4x-8

Answers

Answer:

3.25=x

Step-by-step explanation:

start with -5=4x+8

subtract 8 from each side to get:

-13=4x

divide each side by 4 to get your answer:

-3.25=x-

Answer:

[tex]x = - 3.25[/tex]

Step-by-step explanation:

-5 = 4x + 8

-5 - 8 = 4x + 8 - 8

-5 + (-8) = 4x

-13/4 = 4x/4

Therefore, x = -3.25

-5 + (-8) = 4x

Same Change Change (SCC) rule for integers was applied here.

PPPPLLLSSS HELP THIS IS WORTH SIXTY PERCENT OF MY GRADE. I DONT GET HOW SINCE IT ONLY TWO QUESTIONS BUT IT IS. PLEASE HELP
1. What is the value of the expression 15⋅6-2^2⋅8+4^3 is ______



2. What is the value of the expression 2^3+2^2⋅2+6-2^1⋅2^0-1 is ______

Answers

Answer:

122; 19

Step-by-step explanation:

#115 ⋅ 6 - 2² ⋅ 8 + 4³ =15 ⋅ 6 -  4 · 8 + 64 = 90 - 32 + 64 = 58 + 64 = 122#22³ + 2² ⋅ 2 + 6 - 2¹ ⋅ 2⁰ - 1 =8 + 4  · 2 + 6 - 2 · 1 - 1 = 8 + 8 + 6 - 2 - 1 = 22 - 2 - 1 = 20 - 1 =19

Need help, look at picture

Answers

Line AB is the diameter

What is the domain of y=log 4(x+3)

Answers

Answer:

domain is the set of numbers you can use for x

Step-by-step explanation:

log_4(x+3)=y means

I mean it translates to

4^y=x+3

remember that x^m≥0 for all real values of x and m

it actually can equal 0 only when x=0 or when x is very small

so

therefor since 4^y>0, x+3>0 as well

solving we get

x>-3

all real numbers greater than -3

2nd option


The container that holds the water for the football team is
1/2
full. After pouring in 9 gallons of water, it is 4/5 full. How many gallons can the container hold?

Answers

Answer:

45

Step-by-step explanation:

nnnnnnnnnnbbbbbbbhhhhbjjjj

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

Answers

281.25 is the answer i think

6. Which of the following is the improper fraction for the mixed fraction 2 5/3

Answers

Answer:

[tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Multiply the denominator by the whole number, then add the numerator.

3 × 2 + 5 = 11

Keep the denominator.

[tex]\frac{11}{3}[/tex]

Answer:

11/3

Step-by-step explanation:

1. To change a mixed number into an improper fraction, multiply the whole number with the denominator of the mixed number. Then, add the numerator of the fraction to the product to get the numerator of the improper fraction. Remember to keep the denominator the same.

2. Given the information above:

[tex]3 * 2 = 6[/tex] [tex]6 + 5 = 11[/tex] 11 = numerator, denominator = 3improper fraction: 11/3

Therefore, the answer is 11/3.

10
When 12x4 - 3x3 + 6x2 is divided by 3x2, the quotient is -
F
4x2 – 3x3 + 6x2
ninov niola
12x4 - 3x3 + 2
-
H
9x2 - x + 2
-
J
4x2 - x + 2

Answers

Answer:

plz explain simplier

Step-by-step explanation:

A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at the top of its jump. From this location, the sea lion dove down 9 feet. Describe how to use the number line to find the new location of the sea lion.

Answers

Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!

Step-by-step explanation:

What is the denotation of the word "stealing” in this excerpt?

being deceptive
committing a crime
keeping a secret
taking over

Answers

The word stealing in the given excerpt denotes; taking over

How to find the meaning of the excerpt?

This question is gotten from the excerpt from the Narrative of the Life of Frederick Douglass.

Now, from the given narrative, we see that her frame already racked with the pains of old age, and complete helplessness fast stealing over her once active limbs.

Thus, this means that the word stealing denotes that taking over her active limbs.

Read more about excerpt at; https://brainly.com/question/21400963

#SPJ1

Answer:

Taking over.

Step-by-step explanation:

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answers

Adjoa's got 4265.46 Ghc as his take home pay for the past month.

The question gave us his gross salary, which means everything he earned. At the same time, giving us a particular number as deduction. To calculate the net salary, all we have to do is to subtract the deduction from the gross salary, And thus;

4687.24 - 421.78 = 4265.46 Ghc

to learn more, see here  https://brainly.com/question/16688602

I need help answering this question can anyone help me out I am very confused.

Answers

Answer:

-4

Step-by-step explanation:

If you solve the inequality, you'll get

5x - 5 > - 20

5x > -15

x < -3

So you know that x values can be from -∞ to -3

So in the interval of [-4,3] the only value less than -3 is -4 so that's the answer.

Hope this helps! :)

how would you work out 0.5 is 1/100 of

Answers

0.5% of 100

is equivalent to multiplying them:

0.5% × 100 = 0.5

The process of squaring a number by itself twice is called​

Answers

Answer:

square root

Step-by-step explanation: i think this is right but please tell me if it is wrong

URGENT HELP I NEED THE ANSWERS TO THIS WORKSHEET

Answers

Answer:

As follows,

Step-by-step explanation:

The sum of the angles of any triangle is 180.

∠U=69

∠D=42

∠E=35

∠F=35

∠G=55

∠H=45

∠I=45

∠J=15

∠M=120

∠K=15

∠L=75

∠Q=55

∠R=55

∠S=42

∠T=42

∠P=21

∠O=69

∠N=21

∠A=60

∠B=60

∠C=60

solve pls brainliest

Answers

Answer:

white

4 were sold

3 more gray were sold than white

3 colors sold 10 or more

Answer:

a) White

b) 3

c) 3

Step-by-step explanation:

a) White as it is the shortest bar (has the lowest height and only has 4 t-shirts sold)

b) According to the bar graph, 7 grey t-shirts were sold and 4 white t-shirts were sold. Subtracting 4 from 7 = 7-4 = 3

Hence, 3

c) At least 10 T-shirts sold, suggests that it was greater than or equal to 10. According to the graph, black has 12, tan has 11, and brown has 10. Hence,

3 colors had at least 10 t-shirts sold.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest!

est 100:
337
55,745
SS
t 1,000:

Answers

Answer:

Is this a question??

Step-by-step explanation:

Help marking brainliest for who is right

Answers

Answer:

-4,-3 2/3, -1 2/3, -1/2, 2/3, 5 1/2

Step-by-step explanation:

If the measure of XWZ = 127 . What is the measure of YWV?

Answers

Answer:

Dude Where's the attachment

Step-by-step explanation:

This is incomplete without image

Subtract 8 1/6 - 4 5/6 Simplify the answer and write as a mixed number.

Answers

Answer: A

Step-by-step explanation:

Ants love to eat Whales. You learn something new everyday! :)

Please help me to làm bài

Answers

Answer

Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên

Đồ thị:

Step-by-step explanation:

Identify the graph that represents y=(x-1)^2+2

Answers

Step-by-step explanation:

i hope this is what you need

Show your solution follow the steps need an answer, please need an answer, please.​

Answers

Step-by-step explanation:

21. - 4x - 5 > 0

(x - 5) (x - 1) > 0

{x - 5 > 0

{x + 1 > 0

{x - 5 < 0

{x + 1 < 0

{x > 5

{x > -1

{x < 5

{x < -1

= x < -1 or x > 5

therefore, option A is correct

22). 4p² - 1 0

(2p - 1) (2p + 1) 0

{2p - 1 0

{2p + 1 0

{2p - 1 0

{2p + 1 0

{p 1/2

{p -1/2

{p 1/2

{p -1/2

1/2 p 1/2

{p 1/2

{p -1/2

-1/2 p 1/2

therefore, option A is correct.

23). y < 3x² + 3x - 6

3x² + 3x - 6 = 0

3x² + 6x - 3x - 6 = 0

3x(x +2) - 3(x +2) = 0

(x +2) (3) (-3) = 0

x = -2, 1

this is the correct ans. but their is no option similar to it.

25. x and y are root of

- 11m + 18 = 0

hence, x + y = 11

xy = 18

2xy = 36

now, +

= (x +y)² - 2xy

= (11)² - 36

= 121 - 36

= 85

therefore, option A is correct.

26. - 2x - 120

(x -1)² - 1 - 1² = 0

(x -1)² = 1 + 1²

x - 1² = 2

x - 1 = ±2

1 ± 2

therefore, option A is correct.

hope this answer helps you dear..take care!

Answer:

Step-by-step explanation:

21) x² - 4x - 5 > 0

x² - x + 5x - 5 > 0

x(x - 1) + 5(x - 1) > 0

(x - 1) (x + 5) > 0

x - 1 >0   or  x + 5 > 0

x > 1       or  x > - 5    Ans: D

22)  4p² ≤ 1

p² ≤ 1/4

p ≤ 1/2  or  p ≥ -1/2

-1/2  ≥ p ≤ 1/2

23)y < 3x² + 3x - 6

(1 , -7)

x = 1  and y = -7

-7 < 3*1 + 3*1 - 6

-7 < 3 + 3 - 6

-7 < 0

(1 , -7) satisfies the equation.

Option b

24) 5x² - 7x = 0

a = 5  ; b = -7  ;c = 0

Discriminant = b² - 4ac =  49 - 0 = 0

[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]

x = 0 ; x = 7/5  Option a)

25) m² - 11 m + 18 = 0

m² - 2m - 9m + (-9)*(-2) = 0

m(m - 2) - 9(m - 2) = 0

(m - 2)(m - 9) = 0

m = 2 , 9

x = 2 and y =9

x² + y² = 2² + 9² = 4 + 81 = 85   Option a)

26) x² - 2x - 1 = 0

Add the constant 1 to both sides

x² - 2x = 1

Divide the coefficient of x by 2.  2/2 = 1. Now add this 1 to both sides of the equation.

x² - 2x  + 1  = 1+1

x² - 2x + 1 = 2

(x - 1)² = 2

Take square root

x - 1 = ±√2

x  = 1 ± √2    Option a)

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