Which equation describes the inverse of f(x) = 7x + 8?

Answers

Answer 1

Answer:

y = 1/7x - 8/7

Step-by-step explanation:

y = 7x+8

x=7y+8

x-8 = 7y

1/7x-8/7 = y

Answer 2

The inverse of the given function f(x) = 7x + 8 is equal to

g(x) = [x - 8] / 7.

What is a Function?

A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

We are given a function f(x) and we have to find its inverse.

For finding the inverse of a function, we need to express x in terms of f(x).

7x + 8 = f(x)

7x = f(x) - 8

x = [f(x) - 8] / 7

Let's assume the inverse of f(x) is g(x).

g(x) = [x - 8] / 7

The inverse of the given function f(x) = 7x + 8 is equal to g(x) = [x - 8] / 7.

Hence, The inverse of the given function f(x) = 7x + 8 is equal to

g(x) = [x - 8] / 7.

To learn more about Function, click:

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Related Questions

Ashley and matt each purchase one raffle ticket. If a total of 13 raffle tickets are sold and two winners will be selected,what is the probability that both ashley and matt win?

Answers

Answer:

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

Find the length of side a.​

Answers

Answer:

12

Step-by-step explanation:

The Pythagorean Theorem says that in a right triangle,  [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex], so in this triangle, the legs are  5  and  a; the hypotenuse is 13.

[tex]5^2+a^2=13^2\\25+a^2=169\\a^2=144\\a=\sqrt{144}\\a=12[/tex]

Find the probability. Enter your answer as a simplified fraction.
Picking a purple marble from a jar with 3 green and 3 purple marbles.
The probability of picking a purple marble is

Answers

Answer:

1/2

Step-by-step explanation:

3+3=6 and 3/6 is 1/2

Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?

Answers

The answer is 19.4
Most of the time when you try to find a missing length of a right triangle you use Pythagorean theorem. Pythagorean theorem is A squared plus B squared equals C squared. C squared is always going to be the longest length/diagonal line otherwise known as your hypotenuse. In this case the ladder is the hypotenuse. So instead of adding five squared +20 squared you’re going to square 20 and then subtract five squared to get the missing length which would be B squared and then you have to find the square root of B squared. So 20 squared is 4000. 5squared is 25 400-25 = 375 square root of 375 is about 19.4.

HELP ILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

P(blue) someone plz help me

Answers

what is the question¿

What is the answer? I don't understand how you are meant to work it out

Answers

9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

find the area to be paintedfigure the amount of paint requireddetermine the discounted cost of the paint

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at

A quadratic function is shown. f(x) = -x^2+7x-12 one factor of this function is (x-4). What is the other factor of the quadratic function?

Answers

Answer:

The other term is (x-3)

Step-by-step explanation:

The quadratic function is:

[tex]f(x)=-x^{2}+7x-12[/tex]

Factoring this function we will have:

[tex]f(x)=-(x-4)(x-3)[/tex]

Therefore, the other term is (x-3).

I hope it helps you!

i need help solving this math problem from my practice work

Answers

B is 27, your answer is 27

How do I solve these problem?

Answers

Answer:

- 199

Step-by-step explanation:

7.

a1 = 25

d = - 16

15th term is t15.

Formula : -

an = a + ( n - 1 )d

t15

= 25 + ( 15 - 1 ) - 16

= 25 + 14 ( - 16 )

= 25 + ( - 224 )

= 25 - 224

= - 199

Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?

Answers

Answer:

-45

Step-by-step explanation:

We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.

Our keyword is "spent" and "fourty-five". These determine how much money is being taken away or added.

Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being -45

Answer:

$117

Step-by-step explanation:

184+38=222

222-45=117

Please Help I'm stuck

Answers

Answer: the total area is 26 in^2, which is option B

Step-by-step explanation:

ok you have to find the area of the rectangle to the left of the line and then the area of the right triangle and add them together to get the total area

so for the area of the rectangle it would be

a = Lw

a = 4 * 5 = 20 in^2

now to find the area of the triangle we first subtract 5 from 8 to see the lenght of the segment from the vertical line to the vertex of the triangle

8 - 5 = 3

so the segment is 3 inches long

the formula for the area of a triangle is (1/2)bh

(1/2)(3)(4) = 1/2 (12) = 6

so the area of the triangle is 6 in^2

now lets add the area of the rectanglke and the area of the triangle together to find the total area

20 in^2 + 6 in^2 = 26 in^2

the total area is 26 in^2, which is option B

Answer:

B. 26 square inches

Step-by-step explanation:

For the rectangle, 4 times 5 equals 20, then 4 times 3 equals 12 divided by 2 equals 6. 20 + 6 = 26

Help please


Thanks <3

Answers

Answer:

answer in the screen shot provided

how to solve x^2-4x=-12

Answers

x = 6 and x = -2

Step-by-step explanation:

Put the 12 to the other side

x^2 - 4x - 12 = 0

Now factor this out:

(x - 6)(x + 2) = 0

Therefore, the roots of this equation are

x = 6 and x = -2

Is the X^2 exponent ?

In need of help it’s due in an hour!! I’ll give brainliest to the best answer
Please and thx

Answers

20.

[tex] \sqrt{ {(0 - 4)}^{2} + {(4 - 7)}^{2} } = 5[/tex]

Which of the following statements accurately describes the expression x+5/x^2-2

A. The product of x+5 and X2-2
B. The quotient of x2 -2 and x+5
C. The quotient of x+5 and x2 - 2
D. The product of x2 -2 and x+5

Answers

Answer:

It is C.

Step-by-step explanation:

the division sign indicates it is evidently going to be B or C. Then it's just simple knowledge.

The statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]= \rm \dfrac{x+5}{x^2-2}[/tex]

We can write the above expression as follows:

= (x + 5) ÷ (x² - 2)

The above expression is not in the product.

The quotient of x+5 and x² - 2

Thus, the statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.

Learn more about the expression here:

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an event that cannot happen is

a certain
b possible
c impossible

Answers

an event that cannot happen is impossible
c. impossible
certain and possible are things that will or could potentially happen

On a map, 1 inch equals 7.4 miles. Two houses are 1.5 inches apart on the map.
What is the actual distance between the houses?

Answers

Answer:

half of 7.4 is 3.7 so the houses are 3.7 miles apart.

the sum of two digit number and the number obtained by reversing its digit is 154 if the digit differ from 4 find the number​

Answers

Answer:

The number is either 95 or 59

Step-by-step explanation:

The two digit number would be;

(10a + b)

The reversal will be (10b + a)

The sum of the two is 154

(10a + b ) + (10b + a) = 154

11a + 11b = 154

11(a + b) = 154

a + b = 14 ••••••••(i)

The difference between the two digits is 4

Let’s have this as;

a - b = 4 ••••(ii)

from ii;

a = 4 + b

Substitute this into equation i

4 + b + b = 14

2b = 14-4

2b = 10

b = 10/2

b = 5

Recall;

a = b + 4

a = 5 + 4

a = 9

So we have the number as 95 or 59

What function returns a reference to a cell (or cell range) that is a specified number of row and columns from a base cell?

Answers

Answer:

The offset function

Step-by-step explanation:

In Microsoft Excel, the offset function or formula returns reference to a particular cell.

The syntax is:

= OFFSET(reference, rows, cols)

Where:

reference = the base cell

rows and cols are the direction to move

For instance:

OFFSET(A1, 3, 1) will return cell B4

Because:

3 will shift down the reference from A1 to A4

1 will shift right the reference from A4 to B4

If Lexi’s dog can roller skate at 7 miles per hour for three hours, how many miles is he skating?

Answers

Answer:

343 miles per hour.

Step-by-step explanation:

It is easy all you have to do is 7^3

I Hope This Helps You!!

please help me ASAP!!

Answers

Answer:

The answer is sqrt of 64

Step-by-step explanation:

The correct answer is square root of 65

Someone help me plzzzz

Answers

acute isosceles triangle

Answer:

acute iscoceles

Step-by-step explanation:

cuz obtuse is 90 or more right is 90 acute is less than 90

can someone please help me with this???

Answers

A- When one variable increases the other variable decreases. :)

Noah pagó $28 por los jeans después de usar el cupón. Cuál es el precio regular de el par de jeans?

La respuesta correcta es$40

Explique aquí como y porqué $40 es la respuesta​

Answers

It would do 40 percent or do 70

f(x) = 3^x-9. find the inverse of f(x). ASAP I NEED HELP LAST QUESTION AND 15 MINS LEFT

Answers

Answer:

A

Step-by-step explanation:

Given :

f(x) = ³√[ x - 9 ]

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

[tex]:\implies[/tex] f(x) = y

[tex]:\implies[/tex] y = ³√[ x - 9 ]

[tex]:\implies[/tex] x = ³√[ y - 9 ]

[tex]:\implies[/tex] x³ = y - 9

[tex]:\implies[/tex] y = x³ + 9

[tex]:\implies[/tex] f-¹(x) = x³ + 9

Hence option A is correct .

each month Leo makes copies of a budget report. when he uses both the large and small printer the job takes 30 minutes. if the small printer is broken it takes him 50 minutes. how long would the job take if the large printer were to break?​

Answers

His job will take 75 minutes long

Mandy the elephant weighs 7,390 lbs her baby luna weighs 1492 how many more pounds does mandy weigh than luna

Answers

Answer:

5898

Step-by-step explanation:

7,390 - 1,492 = 5898

The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?​

Answers

Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

Find the 93rd term of the arithmetic sequence -6,13,32...

Answers

Answer:

1742

Step-by-step explanation:

I am of the belief this is the right answer according to the arithmetic calculator.

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