If f(x) = [tex]\frac{1}{9}[/tex] x-2, what is [tex]F^{-1}[/tex](x)

Answers

Answer 1

Answer:

Solution given:

f(x) = [tex]\frac{1}{9}[/tex] x-2

let f(x)=y

y = [tex]\frac{1}{9}[/tex] x-2

interchanging role of x and y

x= [tex]\frac{1}{9}[/tex] y-2

x+2= [tex]\frac{1}{9}[/tex] y

y=9(x+2)

y=9x+18

So

F-¹(x)=9x+18

and

F-¹(-1)=9*-1+18=-9+18=9


Related Questions

Find the value of x such that the data set has the given mean.
102, 120, 106, 111, 108, x; mean 101

Answers

therefore, x = 59

Step-by-step explanation:

Here,

Mean (m) = 101

No. of terms (n) = 6

submission x (total) = 102+120+106+111+108+x

= 547 + x

Now, We know;

m = total / n

101 = 547 + x / 6

101 × 6 = 547 + x

606 - 54u = x

Hence , x = 59.

rosa brought (d) drawings to an art show, after selling 17 of them, she had 22 left.identify the equation that represents this situation and the correct solution.
A. d-17=22; d=39
B. d+17=22; d=5
C. d+17=22; d=39
D. d-17=22; d=5

Answers

a- because she had 39 drawings and selling 17 of them means subtracting 29-17 to be left with 22

Answer:

A

Step-by-step explanation:

Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.

write y=2x^2-12x+16 in vertex form

Answers

Answer:

y = 2[tex](x - 3)^{2}[/tex] - 1

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 12x + 16  

y = 2([tex]x^{2}[/tex] - 6x + 8)        ( Factor out 2 )

y + 9= 2([tex]x^{2}[/tex] - 6x + 9) + 8 ( Complete the square [tex](\frac{-b}{2} )^{2}[/tex] ) Add 9 both sides  

y + 9 = 2 [tex](x - 3)^{2}[/tex] + 8      (Subtract 9 each side)  

y = 2 [tex](x - 3) ^{2}[/tex] - 1         ( simplify )

Which of the following CANNOT be assumed from this image?

Answers

Answer:

that he lines are not going strait

Step-by-step explanation:

which of the following give the highest future value is 6000000 is invested at 6% for 3 years​

Answers

Answer:

$5084745.76271

Step-by-step explanation:

Given data

Final amount= $6000000

Rate=6%

Time= 3 years

Now let us find the initial amount which is the principal

using the simple interest formula we have

6000000 = P(1+0.06*3)

6000000 =P(1+0.18)

6000000 =P*1.18

P= 6000000 /1.18

P=$5084745.76271

Hence the initial deposite is $5084745.76271

Factorize by grouping:
4pº + 8p2 + 3p + 6​

Answers

Answer:  (4p^2+3)(p+2)

Work Shown:

I'm assuming you meant to write 4p^3+8p^2+3p+6

If so, then we would have these steps

4p^3+8p^2+3p+6

(4p^3+8p^2)+(3p+6)

4p^2(p+2)+3(p+2)

(4p^2+3)(p+2)

Solve the solution of this inequality 4/9x-10>x/3-12

Answers

move the x terms to one side and the numbers to the other side first

Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.

Answers

Answer:

i dont see a diagram ?

Step-by-step explanation:

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

A ball rolls down and the distance traveled by the ball is given by d = 5t + t2/3 feet in t seconds. Find the time when the ball reaches the distance of 18 feet.

Answers

18 balls of steel answer

helpppppppppp///////

Answers

Answer:

E

Step-by-step explanation:

He makes 30 per hour with the 20 extra therefore f(x)=30x+20

WILL MARK BRAINLIEST!!
I. Write 2-7i in polar coordinates on the complex plane.
II. Find (1+i)^8 using DeMoivre's theorem.

Answers

I. Polar form = (r,θ) = (7.28,254.05°)
z= -2-i7
r= √-2^2+-7^2= √53= 7.28
θ=tan^-1 (-7/-2) =3.5=74.05
Point lies in the third quadrant
Hence θ=180+74.05=254.05°
Polar form = (r,θ) = (7.28,254.05°)

II. Z=16
De Moivre's theorem states if
z= r(cos(θ) + i sin (θ)) , then z^2=r^2(cos(nθ)+
i sin (nθ))
r= √1^2+1^2= √2
θ= arctan (1/1)= π / 4
z= √2 (cos (π / 4)+i sin (π / 4))
z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8
= (√2 (cos (8π / 4)+i sin (8π / 4)))^8
=16 (cos(2π) + i sin (2π)
=16




(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.

What are polar coordinates?

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

I. Polar form = (r,θ) = (7.28,254.05°)

z = 2 - i7

r= [tex]\sqrt{ 2^2+-7^2}[/tex]

= √53

 = 7.28

θ = tan^-1 (-7/-2)

  =3.5

  = 74.05

Point lies in the third quadrant

Hence θ = 180+74.05

              = 254.05°

Polar form = (r,θ) = (7.28,254.05°)

II. Z=16

De Moivre's theorem states if

z= r(cos(θ) + i sin (θ)) , then

[tex]z^2=r^2(cos(n\theta)+ i sin (n\theta))[/tex]

[tex]r= \sqrt{1^2+1^2}[/tex]

= √2

θ= arc tan (1/1)

  = π / 4

z= √2 (cos (π / 4)+i sin (π / 4))

z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8

= (√2 (cos (8π / 4)+i sin (8π / 4)))^8

=16 (cos(2π) + i sin (2π)

=16

Learn more about polar form;

https://brainly.com/question/13640455

#SPJ2

multiply (3p+4q) by (3m+2n).​

Answers

Answer:

9pm + 6pn + 12qm + 8qn

Step-by-step explanation:

Use FOIL (firsts, outers, inners, lasts)

^ this tells you what to multiply

Multiply the firsts 3p × 3m = 9pm

Multiply the outers 3p × 2n = 6pn

Multiply the inners 4q × 3m = 12qm

Multiply the lasts 4q × 2n = 8qn

Please helpppp
Find h

Answers

Answer:

the square root of 85 (so 85 is the answer)

Step-by-step explanation:

You can use the pythagorean theorem to find the height. So the sides of the triangle would contain the radius (4/2 = 2) and 9.

so, 2 squared plus 9 squared = 85

I hope this helps!

Will mark BRAINLIEST for correct answer.

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second.

How long a tape does a police officer need to record a 3-minute confession at an operating speed of 3 1/2 inches per second?

Answers

Answer:

L = 3.5 in/sec  * 3 min  * 60 sec /min = 630 in

(L = S * T   where T is in sec and S is inches / sec)

2x^2 - 4x + 5 x = -3

Answers

This problem has No solution

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{x}{9}[/tex]

x=[tex]\frac{9}{2}[/tex]

The value of x is [tex]\frac{9}{2}[/tex]

What function is graphed below?

Answers

Answer:

[tex]y\ =\ \ \tan\theta\ +2[/tex]

Step-by-step explanation:

ABCD is a quadrilateral.
29
Work out angle x.
13 cm
8 cm
А
6 cm
D

Answers

Answer:

Answer:

27.6 degrees

Step-by-step explanation:

Can someone please help me with all these problems itd mean alot

Answers

I don’t know brotherrrr sprru

Step-by-step explanation:

For the 1st picture,

1 unit to the left and 3 units up.

Fir the 2nd picture,

We know the 90 degree counterclockwise rule is

[tex](x) \:(y) goes \: to \: ( - y)(x)[/tex]

So our new points will be

(-1,7)

(4,8)

(-2,2)

For the 3rd picture,

The new points will be

(-10,0)

(-6,2)

(-7,-1)

For the 4th picture,

A pentagon interior angles add up to 540.

We solve for x.

I cant really see the angles but just add up all the known angles and subtract them from 540 and that should get you your answer.

For 5th picture,

Exterior angles add up to 360 for every figure, a 13 sided polygon means it has 13 exterior angles. Since this is a regular polygon, the angles will all be equal.

[tex] \frac{360}{13} = 27 \frac{9}{13} [/tex]

Which equal

27.7

Could anyone help me out with this?

Answers

Answer: they are abt the same its all abt percentage now- Pitcher A

Step-by-step explanation: more water lessens the strength

What is the hardest math problem ever?

Answers

Step-by-step explanation:

this is the hardest I think

The Collatz Conjecture. Dave Linkletter. ...
Goldbach's Conjecture Creative Commons. ...
The Twin Prime Conjecture. ...
The Riemann Hypothesis. ...
The Birch and Swinnerton-Dyer Conjecture. ...
The Kissing Number Problem. ...
The Unknotting Problem. ...
The Large Cardinal Project.

A class conduct an experiment in biology. They place a number of 1 m by 1 m square grids on the playing field and count the number of plants in each grid. The results obtained are given below.

6 3 2 1 3 2 1 3 0 1
0 3 2 1 1 4 0 1 2 0
1 1 2 2 2 4 3 1 1 1
2 3 3 1 2 2 2 1 7 1
(a)
Calculate the mean number of plants.

Answers

Step-by-step explanation:

their mean is....

6+3+2+1+3+2+1+3+0+1/10=2.1

3+2+1+1+4+0+1+2+0/10=1.4

1+1+2+2+2+4+3+1+1+1/10=1.8

2+3+3+1+2+2+2+1+7+1/10=2.4

the means are 2.1,1.4,1.8,2.4

the average mean is

21+14+18+24/40

32+45/40

77/40=1.925

the average mean is 1.925

Find the volume of this sphere. Use 3 for pi.

Answers

Answer:

radius=16divided by 2

=8

Volume=4÷3πr^3

Volume=4÷3×3×8

Volume=96÷3

Volume=32


A student answered 68 questions correctly in a test and received a grade
of 85%. How many problems were on the test, if all the problems carried
the same number of points?

Answers

Answer:

There are 80 questions on the test

Step-by-step explanation:

I think this is right, but don't quote me on this.

The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?

Answers

Step-by-step explanation: X=10 DEGREES FOR THE SMALLER ANGLE. 8*10=80 DEGREES FOR THE LARGER ANGLE.

Answer:it’s 20 and 160 I’m doing ixl and this was the correct answer.

Step-by-step explanation:

A sphere has a volume of 1,436.03m^3, what is the approximate length of its radius?

A


4.9 m

B


7.0 m

C


10.7 m

D


18.5 m

Answers

Answer:

B. 7.0 m

Step-by-step explanation:

steps are in the pic above

3 is subtrated from 9 times 2 and 5 is added

Answers

Answer:

20

Step-by-step explanation:

9*2-3+5

18-3+5

15+5

20

Answer:

Its 20

Step-by-step explanation:

9 x 2 = 18

18 - 3 = 15

15 + 5 = 20

The two
triangles are similar.

What is the value of x?

Enter your answer in the box

Answers

Answer:

13

Step-by-step explanation:

the scale factor is 4:1 so just divide 52 by 4.

A7. Charlie sales wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?

Answers

Answer:

$21

Step-by-step explanation:

Find the cost of the wristband that took an hour and a half to make:

2(1.5) + 7

= 10

Find the cost of the one that took 2 hours to make:

2(2) + 7

= 11

Add together the prices:

10 + 11

= 21

So, it will cost $21

A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

Answers

Answer:

Step-by-step explanation:

x is the original price.

420/x = 70% = 0.7

x = 420/0.7 = 600

Original price of bracelet was £600

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