F(x)=9(x-8) find f^-1(x)

Answers

Answer 1

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )

[tex]\frac{y}{9}[/tex] + 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8


Related Questions

Find the Distance between the points (-6,5)and(8, -3)


Answers

Answer:

[tex]d=16.1245[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(8-(-6))^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(8+6)^2+(-8)^2}[/tex]

[tex]d=\sqrt{(14)^2+64}[/tex]

[tex]d=\sqrt{196+64}[/tex]

[tex]d=\sqrt{260}[/tex]

[tex]d=16.1245[/tex]

Please emergency!!!
Please

Answers

Answer:

plane Q

Step-by-step explanation:

Please marke as a brainlist...

K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?​

Answers

The answer is $25.5!

1. f(x) = 9x^2 - 3
Find the vertex

Answers

(0,-3)
Was the two supposed to be on the top
the vertex is (0,-3)

Please answer and give an explanation.

Answers

Answer:

h=12.5

Step-by-step explanation:

It’s a right triangle, so you can use the Pythagorean Theorem.  

9.2²+8.5²=h²

84.64+72.25=h²

156.89=h²

√156.89=h

h=12.5255

h=12.5

Un volcan lanza una roca con una rapidez de 47.5 m/s con un angulo de 39.4° sobre el eje x. La roca toca el suelo a 1750 m por debajo de la altura inicial si se desprecia la resistencia del aire y considerando un valor constante de aceleracion debido a la gravedad de 9.81 m/s¨2 cual es el tiempo en completar la trayectoria

Answers

Responder: 6.1467 segundos

Explicación paso a paso:

El tiempo necesario para completar la trayectoria se conoce como tiempo de vuelo.

Tiempo de vuelo = dónde;

U es la velocidad inicial del cuerpo = 47,5 m / s

es el ángulo de lanzamiento = 39,4 °

g es la aceleración debida a la gravedad = 9,81 m / s²

Sustituyendo los parámetros dados en la fórmula anterior, tendremos;

[tex]T = \dfrac{2(47.5)sin39.4^0}{9.81} \\\\T = \dfrac{95sin39.4^0}{9.81} \\\\T = \dfrac{95*0.6347}{9.81} \\\\T = \dfrac{60.2994}{9.81} \\\\T =6.1467 secs[/tex]

El tiempo necesario para completar la trayectoria es de 6.1467 segundos.

Write the fraction 12/28 in the simplest form

Answers

Answer: 3/7

Step-by-step explanation:

Answer:

12/28 is 3 /7 is your answer

please help me with these two questions ( show work plz )( it's ok if you only now one)​

Answers

Answer:

1.8.09

2.-6

Step-by-step explanation:

1. 11b=89

b=89/11

8.09

2. 13+k/3=11

k/3=11-13

k/3=-2

k=-2*3

=-6

Answer:

Number 2 is - 6

Step-by-step explanation:

2. 13 + k/3 = 11

We can start off my subtracting 13 in both sides.

-13 + 13 + k/3 = 11 - 13

k/3 = -2. now we have to multiply 3 in both sides

3 x k/3 = -2 x 3

k = -6

Hope this helps!!

Is 0.7 a rational or irrational number?

Answers

Answer:

0.7 is a rational number.

Explanation:

Because it is a terminating decimal expansion.

Answer:

0.7 is a rational  number- experssed as a fraction, it is equal to 7/10

Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid .Which decimals show how much of the grid Ryan shaded?

Answers

Answer:

0.7

Step-by-step explanation:

70 shaded squares out of 100

= 70/100

=0.7

Use the given endpoint Y and the midpoint M of YZ (there is a line over YZ) to find the coordinates of the other endpoint Z

Answers

The x-coordinate of our midpoint = 3

The x-coordinate of Y = 0

k  = x-coordinate of Z

3 = (0 + k) / 2

Multiply both sides by 2

6 = k + 0

Simplify

6 = k

The y-coordinate of our midpoint = 3

the y-coordinate of Y = 5

w = y-coordinate of Z

3 = (w + 5) / 2

Multiply both sides by 2

6 = w + 5

Subtract 5 from both sides

1 = w

For problem #17, Z(6, 1)

Let's do problem 18 now.

The x-coordinate of our midpoint = 5

The x-coordinate of Y = -1

k = x-coordinate of Z

5 = (k + (-1)) / 2

Multiply both sides by 2

10 = k + (-1)

Simplify the right side

10 = k - 1

Add 1 to both sides

11 = k

The y-coordinate of our midpoint = 9

The y-coordinate of Y = -3

w = y-coordinate of Z

9 = (w + (-3)) / 2

Multiply both sides by 2

18 = w + (-3)

Simplify the right side

18 = w - 3

Add 3 to both sides

21 = w

For problem #18, Z(11, 21)

13.) The ratio of the weight of an object on Mars to the weight of that object on Earth is 4:10. If a rocket weighs 15 tons on earth, how many tons would it weigh on Mars? (Need help quick please)​

Answers

Answer: 6 tons

Step-by-step explanation: 4:10 is also 2/5 so all we need to do is 2/5 of 15 which is 6. [15x(2/5)]

Hope this helps!

Please mark Brainliest!

Evaluate the expression for x = -3 and y = 4
3x2 – 2xy

Answers

Answer: -36 is your answer

Step-by-step explanation:

Round 8,542,310 to the nearest million

Answers

Answer:

9,000,000

Step-by-step explanation:

Since the 5 next to the 8 is a number with a value of 5 or higher, you can round the 8 up to a 9 thus rounding to the nearest million.

What type of information is being presented on this graph?

Answers

The percent of different Expenditures for State and Local Governments.

x -0.63 = 1.16 I couldn't find the answer can someone please help me?​

Answers

Answer:

x= 1.79

Step-by-step explanation:

x-0.63=1.16 add 0.63 to both sides

x= 1.79

Answer:

x =1.79

Step-by-step explanation:

x -0.63 = 1.16

Add .63 to each side

x -0.63+.63 = 1.16+.63

x =1.79

Evaluate 4(a2+2b)-2 when a = 2 and b =-2

Answers

Answer: -2

Explanation

4×(2×2+2×-2)-2

=4×(4-4) -2

=4×0 -2

= -2

how do u factorise 45x - 10

Answers

Answer:

-450

Step-by-step explanation:

The value of factors of the function are,

⇒ 5 (9x - 2)

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).

Given that;

The expression is,

⇒ 45x - 10

Now, We can factor the equation as;

⇒ 45x - 10

⇒ 5×9x - 5×2

⇒ 5 (9x - 2)

Thus, The value of factors of the function are,

⇒ 5 (9x - 2)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ5

I give Brainliest to whom says this question is stupid. What is -2x-8

Answers

Answer:

No solution it IS STUPID.

Step-by-step explanation:

Answer:

that question is stupid.

what is the reflection of (x, -y) across the y-axis.

Answers

Reflection across the y-axis makes the x-coordinate opposite.
(x, -y) —> (-x, -y)

what is (10y+6) (8y-6) ?

Answers

Answer:

y = 3/4 or y = -3/5

Step-by-step explanation:

Solve for y:

(8 y - 6) (10 y + 6) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

8 y - 6 = 0 or 10 y + 6 = 0

Hint: | Look at the first equation: Factor the left hand side.

Factor constant terms from the left hand side:

2 (4 y - 3) = 0 or 10 y + 6 = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

4 y - 3 = 0 or 10 y + 6 = 0

Hint: | Isolate terms with y to the left hand side.

Add 3 to both sides:

4 y = 3 or 10 y + 6 = 0

Hint: | Solve for y.

Divide both sides by 4:

y = 3/4 or 10 y + 6 = 0

Hint: | Look at the second equation: Factor the left hand side.

Factor constant terms from the left hand side:

y = 3/4 or 2 (5 y + 3) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

y = 3/4 or 5 y + 3 = 0

Hint: | Isolate terms with y to the left hand side.

Subtract 3 from both sides:

y = 3/4 or 5 y = -3

Hint: | Solve for y.

Divide both sides by 5:

Answer: y = 3/4 or y = -3/5

The price of a tv is rs3000.if the discount is rs1560,find the percent of discount.

Answers

Answer:

price of tv = 3000

discount =1560

discount % = 1560/3000 * 100% = 52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Formula =discount ×100÷original price

1560×100÷3000=52%

Problem
3x + 5 + 2x = 12 + 4x

Answers

x=7 All you need to do is combine like terms and then move the appropriate terms to the appropriate side.

Answer:

x=7

Step-by-step explanation:

because u add the like terms so

3x+2x

which would be

5× so now its

5x+5=12+4x

-4. -4

x+5=12

-5. -5

x=7

how does math play a role in the activities of your everyday life activities

Answers

Answer:

-Managing money $$$

-Balancing the checkbook.

-Shopping for the best price.

-Preparing food.

-Figuring out distance, time and cost for travel.

-Understanding loans for cars, trucks, homes, schooling or other purposes.

-Understanding sports (being a player and team statistics)

-Playing music.

These are things we do everyday that use Math.

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

What is 28828+88+8+78282882728288+8+888+8882828888-8–88-89939x929299999299292929+839929828-0+9929299x91919192939939+929292992929999-9-9-9999299202839393=

Answers

Answer:

-8.2667628e+22

-Step-by-step explanation:

(2.569
3
2. Stephanie has 3 bags of soil to put in her garden. Each bag of soil will cover 125 ft.
How many square feet will Stephanie be able to cover if she uses all these bags of soil?
(7.3A)

Answers

i cant understand your question define briefly

PLEASE HELP WILL MARK BRAINLIEST!! THE QUESTION IS ABOVE IN THE PICTURE PLEASE HELP!!!




WORTH A LOT OF POINTS I PUT 65!! HELP MARK BRAINLIEST
THE OPTIONS FOR CHOOSE ARE 1st one- 5, 50, 2, and 10. 2nd one- 10, 5, 50 and 100

Answers

Hello! The first answer choice is D. Can you try sending another picture for the second part? I think part of the picture got cut off, so I can’t answer it. Have a great day! :)

Answer:

C.   100 ≤ 20x 1000

Step-by-step explanation:

area of a rectangle is L x W

where W = 5,  L = 4x

area 100 ≤ A ≤ 1000

A = 5 (4x)

= 20x

in which inequality 100 ≤ 20x 1000

If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help

Answers

Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.

6x + 11 = 16x + 1

Subtract 6x and 1 from both sides

10 = 10x

Divide both sides by 10

1 = x

We also know that:

JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34

Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.

Answers

Answer:

[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

[tex]x=4cos (t)[/tex]

[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]

[tex]y=4sin (t)[/tex]

[tex]\dfrac{dy}{dt}=4cos (t)[/tex]

Now,

[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]

[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]

[tex]\dfrac{dy}{dx}=-\cot t[/tex]

So, slope of the curve is [tex]-\cot t[/tex].

[tex]-\cot t=\dfrac{1}{2}[/tex]

[tex]-\tan t=2[/tex]

[tex]\tan t=-2[/tex]            ...(1)

Using [tex]\sec^2t=1+\tan^2t[/tex], we get

[tex]\sec^2t=1+(-2)^2[/tex]

[tex]\sec^2t=1+4[/tex]

[tex]\sec t=\pm \sqrt{5}[/tex]

[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]

Now,

[tex]\sin^2t=1-cos^2t[/tex]

[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]

[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]

[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]

If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]

Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Simplify 0.05x + 1.02x.

Answers

1.07x is the sum of the equation

Answer:

107x-

-------

100

Step-by-step explanation:

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