If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)​

If F(x) = +4, Which Of The Following Is The Inverse Of Fx)? O A. F^1(x) = 2(x-4) O B. F^1(x) = 7(x+4)

Answers

Answer 1

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]


Related Questions

A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
__ -__x-__y-__xy

Answers

Answer:

[tex]P = 8 - 42x + 56y + 12xy[/tex]

Step-by-step explanation:

Given

[tex]Length = 4 - 7(3x + 4y)[/tex]

[tex]Width = 3x(2y)[/tex]

Required

The perimeter (P)

This is calculated as:

[tex]P = 2 * (Length + Width)[/tex]

[tex]P = 2 * (4 - 7(3x + 4y) + 3x(2y))[/tex]

Open bracket

[tex]P = 2 * (4 - 21x + 28y + 6xy)[/tex]

Open bracket

[tex]P = 8 - 42x + 56y + 12xy[/tex]

What is the mortgage loan value on a $375,000 home if 20% is paid as a
down payment?
$325000
$375000
$75000
$300,000

Answers

Answer:

$300000

Step-by-step explanation:

down-payment would $75000 so minus it from $375000 to get the mortgage

Answer:300000

Step-by-step explanation:

375000/100 =3750

1 percent = 3750

20 percent = 3750*20=75000

375000-75000= 300000

If it is helpful t

1
Circle C has radius 5 and center C(6,-2).
Find the equation of circle C.
A (x + 6)2 + (y - 2)2 = 5
B (z - 6)2 + (y + 2)2 = 5
© (x+6)2 + (y - 2)2 = 25
D (z - 6)2 + (y + 2)2 = 25

Answers

C.. took the test. Answer should be c

Algebra 1
No links
Answer fast
A-124
B-80
C-76
D-66

Answers

Answer:

B)

Step-by-step explanation:

x+36=102

x=102-36

x=66

Therefore, substitute x in your formula for x+14

66+14

PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.
Match the mortgage types with their descriptions.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Need help ASAP!! WILL give Brainly!!! Need the full equation!! THANK YOU!!

Answers

Answer:

[tex]y = - \frac{6}{8}x - 3 [/tex]

10 (-2 + 3y) + 8y = -20

Answers

This is y=0
………………………

What does an equal sign mean mathematically?

Answers

Answer:

It means that the both sides of the expression in the given equation must be/are congruent.

Hope this helps!

what is the x in x/5 +1 = 7

Answers

X=30 and I know because 30 divided by 5 is 6 plus 1 equals 7

What is the perimeter of the figure?

A. 34 cm
B. 36 cm2
C. 36 cm
D. 34cm2

Answers

Answer:

A. 34cm

Step-by-step explanation:

What is the value oh x?

Answers

Answer:

x

Step-by-step explanation:

djdndjdjdndjdkdjdnfnfjfndndndn b7h

Ms. Green has 3 % yards of fabric. One bandana requires 1/4 of a yard of fabric. How many bandanas can
she make until she runs out of fabric?

Answers

Answer:

12

Step-by-step explanation:

number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna

3 ÷ 1 /4

= 3 x 4 = 12

An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 70 miles from the point and has a speed of 280 miles per hour. The other is 240 miles from the point and has a speed of 960 miles per hour. (a) At what rate is the distance between the planes changing

Answers

Answer:

DL/dt = 1000 miles/hour

Step-by-step explanation:

Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.

Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes

Then according to Pithagoras´theorem:

L²  =  (AO)²  + (BO)²

At the moment t when the airplanes are far away as 70 and 240 miles per hour

L²  = (70)²  + ( 240)²

L²  = 4900 + 57600

L = √62500

L = 250 miles

In general

L²  = x² + y²

That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:

L² = x² + y²        where x and y are the legs ( that legs change in time then):

Tacking derivatives on both sides of the equation

2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt

By substitution:    since Dx/dt = 280 m/h   and Dy/dt = 960 m/h

2*(250)*DL/dt = 2*70*280 + 2*(240)*960

500*DL/dt  =  39200 + 460800

DL/dt  =  500000/ 500

DL/dt = 1000 miles/hour

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!

Answers

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

Yo can someone help me out

Answers

Answer:

theres an black screen

Step-by-step explanation:

mark as brainliest!!

Answer:

Cant see the image

1
K
N
M
If I and Mo are parallel lines and mZIKI = 42°, what is mZMNP?

Answers

look it up online i think it will be pretty easy and should be the first one to pop up

Surface area of a triangular prism
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
13 in
12 in
5 in
6 in

Answers

Surface area is 240 in^2

The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is​

Answers

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

· 1 pint of white icing

· 4 1/4 teaspoons of blue food coloring

· 2 1/2 teaspoons of red food coloring.



Explain two different ways for Patricia to find the total number of teaspoons of blue and red food coloring necessary to make the 2 pints of purple icing. (Do not solve the problem.)

Answers

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double  the amount and then divided it

Find the length of NL.

Answers

Answer:

8

Step-by-step explanation:

By intersecting chords theorem:

[tex]4x = 2 \times 8 \\ \\ 4x = 16 \\ \\ x = \frac{16}{4} \\ \\ x = 4 \\ [/tex]

NL = 4 + x = 4 + 4 = 8

The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.

Answers

Answer:

53 weeks

Step-by-step explanation:

Given :

Reams of paper used :

3 reams = 4 Week

A case of 5 paper = 8 reams

Hence,

5 cases of paper = (8 * 5) = 40 reams

If :

3 reams = 4 weeks

40 reams = x

Cross multiply :

3x = 40 * 4

3x = 160

x = 160 / 3

x = 53. 333

Approximately 53 weeks (nearest whole number)

ANOTHER KHAN ACADEMY

Answers

Answer:

B

Step-by-step explanation:

True for all x.

The function f is defined by the following rule

f(x)=3x-3

Complete the function table

x f(x)
-5
-1
1
2
4​

Answers

Answer:-18

-6

0

3

9

Step-by-step explanation:

Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85

Answers

Answer:

The right answer is "z = 3.68".

Step-by-step explanation:

Given that,

p = 52%

or,

  = 0.52

n = 200

[tex]\hat{p}= \frac{130}{200}[/tex]

  [tex]= 0.65[/tex]

Now

The test statistic will be:

⇒  [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

On substituting all the given values, we get

⇒     [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]

⇒      [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]

⇒      [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]

⇒      [tex]=3.68[/tex]

What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.

Answers

Answer:

see below

Step-by-step explanation:  5 25 14  16

the graph shows the roots of the polymonimal to be

x = 0   and x - 4 = 0     x = 4     when y or f(x) = 0

f(x)   =   x(x-4)   =  x² - 4x

f(x)   =   x² - 4x

when x = 0   f(x) = 0

         x = 2   f(x)  =  2² - 4(2)   =  -4

         x = 4   f(x)  =  4² - 4(4)   =  0

The factorization of the polynomial graphed are,

⇒ y = x (x - 5)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have been given graph of polynomial.

This is in parabolic shape.

So, this is graph of quadratic function.

Hence,, there will be two zeroes.

And also number of zeroes of a function is equal to the number of times graphs cuts x-axis

Here, we can see graph cuts at (0,0) and (5,0).

So, the Factors will be:

(x - 0) and (x - 5).

Since, If x = 0 is a zero then it means factor will be (x)

Similarly, If x = 5 is a zero then it means factor will be (x-5).

Thus, the factorization of the polynomial graphed are,

⇒ y = x (x - 5)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Estimate the sum by rounding each number
to the nearest hundredth: 0.052 +0.028
A 0.06
B 0.08
0.09
D 0.07

Answers

Answer:

B is the answer to the question.

Step-by-step explanation:

xy^-3 is equivalent to ______

Answers

Answer:

xy3 your welcome tell me if I got it right ✅

What would you add to 1/6 to get 2/3

Answers

I would add 1/6 to 3/6 2/3 is equal to 4/6 to 1/6 plus 3/6 is 4/6

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Please solve and hurry

Answers

Answer:

225°

Step-by-step explanation:

[tex] \frac{5\pi}{4} = \frac{5 \times 180 \degree}{4} = \frac{900 \degree}{4} = 225 \degree \\ [/tex]

The sum of 2 numbers is 82 and one exceed the other by 40.what are the number 2​

Answers

Answer:

If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.

Step-by-step explanation:

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