given that f(x)=2x/3 evaluate f^-1(6)

Answers

Answer 1

Answer:

9

Step-by-step explanation:

we know by definition that

[tex]f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}[/tex]

so now we evaluate

[tex]f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9[/tex]

and if we want to do an extra step

[tex]f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6[/tex]

which works.


Related Questions

1.873, 1.9, 1.78, 1.84, 1.779, 1.742

LESSER GREATER


ASAP PLEASE

Answers

Answer:

Lesser to greater

Step-by-step explanation:

1.742

1.779

1.78

1.84

1.873

1.9

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.

Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction

When she checked the answer by estimating, it did not make sense. What error did Wen make?

Answers

Answer:

-3 Farenheit change per hour

She didnt divide properly

Step-by-step explanation:

PLZ MARK BRAINLIEST.

Answer:

C

Step-by-step explanation:

The value of 2*3 + 4*2 = ___.

Answers

Answer:

16

Step-by-step explanation:

2 * 3 is 6 and 4 * 2 is 8 so 8 + 6 is 16

If nitrogen is warmer than -320^\circ−320

minus, 320, degrees Fahrenheit, it will be a gas.
Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which nitrogen is a gas.

Answers

Answer:

t>-320

Step-by-step explanation:

Answer:

t>-320

Step-by-step explanation:

Find < JKL (angle) *
1 point
Given JM = 27, ML = 16, JL = 46, NK = 15, mZKLM = 48°, mZJKM = 78°, and mZMJL = 22°

Answers

Answer:

132°

Step-by-step explanation:

See attached

Given JM = 27, ML = 16, JL = 46, NK = 15, m∠KLM = 48°, m∠JKM = 78°, and m∠MJL = 22°To findm∠JKLSolution

JKLM is a parallelogram and therefore has equal opposite angles:

∠JKL = ∠JML and ∠KJM = ∠KLM

Sum of all four is 360°:

2m∠JKL + 2m∠KLM = 360°m∠JKL + m∠KLM = 180°m∠JKL + 48° = 180°m∠JKL = 180° - 48°m ∠JKL = 132°

a 0.5-kg ball accelerated at 50 m/s what was the force applied

Answers

The answer will be 25n because force equals mass times acceleration

Tessa's cumulative GPA 'for 3 semesters was 3.24 for 46 course units. Her fourth semester GPA was 3.86 for 12 course units. What is Tessa's cumulative GPA for all 4 semesters

Answers

Answer:

3.37

Step-by-step explanation:

Given that :

CUNMULATIVE GPA for 4 semesters :

First 3 semesters:

Cummulative GPA = 3.24

Number of courses = 46

4th semester:

Cummulative GPA = 3.86

Number of courses = 12

Cummulative GPA for all 4 semesters:

Sum of product of Cummulative GPA and number of courses / sum of courses

= [(3.24 * 46) + (3.86 * 12)] ÷ (46 + 12)

= (149.04 + 46.32) / 58

= 3.3682758

= 3.37

Tessa's cumulative GPA for all 4 semesters is 3.37 and this can be determined by using arithmetic operations.

Given :

Tessa's cumulative GPA 'for 3 semesters was 3.24 for 46-course units. Her fourth semester GPA was 3.86 for 12-course units.

Given that cumulative GPA for 3 semesters was 3.24 for 46 courses and the fourth semester GPA was 3.86 for 12-courses then the cumulative GPA for all 4 semesters will be:

[tex]=\dfrac{(3.24\times 46)+(3.86\times 12)}{(46+12)}[/tex]

[tex]=\dfrac{149.04+46.32}{58}[/tex]

[tex]=\dfrac{195.36}{58}[/tex]

= 3.37

Tessa's cumulative GPA for all 4 semesters is 3.37.

For more information, refer to the link given below:

https://brainly.com/question/15385899

three times a number, less 4 is
2

Answers

Answer:

2

Step-by-step explanation:

What is 100% of 80?????

Answers

Answer:

80/100

Step-by-step explanation:

Answer:

The answer to your question is going to be 80

Rachel travelled 240 km in 4 hours by train and then travelled 120
km in 3 hours by car. What is the average speed during the whole
journey?
A. 60.9 km/hr
B. 55 km/hr
C. 51.42 km/hr
D. 78 km/hr

Answers

Answer:

B I believe.

Step-by-step explanation:

Find the value of x in the parallelogram.

Answers

Answer:

x=2/3

Step-by-step explanation:

6x=3x+2

3x=2

x=2/3

HURRY I NEED HELP ASAP

Answers

Answer:

I believe the answer is 13 times I'm not positive but 12 tsp is 2 oz so I think 13 would make up for the other part

Step-by-step explanation:

If I'm wrong I'm sorry

En un pueblo hay tres iglesias cuyas campanas tocan cada 15 minutos, cada 20 minutos y cada 35 minutos. Suponiendo que en este instante han coincidido tocando las tres a la vez, ¿cuándo volverán a coincidir?

Answers

Answer:

420 minutos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encontramos los múltiplos de 15, 20 y 35

Múltiplos de 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450

Múltiplos de 20:

20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460

Múltiplos de 35:

35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490

Por lo tanto,

MCM (15, 20, 35) = 420

El primer múltiplo común es el mínimo común múltiplo.

Por tanto, el tiempo en el que las 3 campanas de la iglesia volverán a coincidir = 420 minutos

Robert run the 100 meter dash in 13.5. later he run same distance in 10.3 seconds. how many seconds less did it take him to run the same distance the second time?

Answers

Answer:

3.2seconds

Step-by-step explanation:

Step one:

Robert run the 100 meter dash in 13.5 seconds

We are told that he later  run same distance in 10.3 seconds

Required.

The time difference in the first dash and the second

Step two:

The first dash took 13.5 seconds

the second took 10.3 seconds

the difference = 13.5-10.3= 3.2seconds

hurry guys i need help! ! ! !

Answers

Answer:

5: 15

10: 30

15: 45

20: 60

answer: ? = 60

Step-by-step explanation:

Mike has 1 over 2. Of a pan of brownies. He will eat 1 over 4. Of it himself, and share the rest. What fractional part of the pan of brownies will Mike eat?

Answers

Answer:

1/8

Step-by-step explanation:

Amount of pan of brownies that Mike has = 1/2

Amount he will eat= 1/4 of the amount he has

Amount he will eat = 1/4 of 1/2

Amount he will eat = 1/4×1/2

Amount he will eat = 1/8

Hence he will eat 1/8 of the pan of brownies

can anyone help me please? thanks ^^

Answers

Answer:

Yes; they are congruent

SSS

Step-by-step explanation:

Here, we want to check if the given triangles are congruent

From what we have, we can see that all three sides are marked for both triangles

So the sides of the triangles are income

So therefore, the triangles are congruent by SSS

Why does -30 - - 50 equal 20? What steps are being done?

Answers

Two negatives equal a positive, so its just like subtracting 50 and 30, but your answer will be a positive.

Answer:

Step-by-step explain

1. 30-50=20

2. Two negatives equal a positive

So first you subtract 30 by 50 and get 20 then you look at the signs which are both negative. Meaning both of the negative signs become a positive. (-30)-(-50)=20

PLEASE HURRY ILL GIVE BRAINLIEST!!!!!!!!!!!

Which of the following numbers is irrational


A. -9/5

B. √5

C. 7/3

D. √9

Answers

The one that isn’t rationals is B.

3. Plantea un sistema de ecuaciones y halla las dimensiones de un rectángulo cuya altura mide 2 cm más que su base y cuyo perímetro es igual a 24 cm. 4. Resuelve por el método de igualación el siguiente sistema de ecuaciones

Answers

Answer:

Height = 5

Width = 7

Step-by-step explanation:

Given that :

Height of rectangle = 2 + Width

Let width = x

Height = x + 2

Perimeter = 24 cm

Perimeter of a rectangle ;

P = 2( height + Width)

P = 24 ; Length = x + 2 ; x

24 = 2(x + 2 + x)

24 = 2(2x + 2)

24 = 4x + 4

24 - 4 = 4x

20 = 4x

x = 5

Height = 5

Width = x + 2 = 5 +2 = 7

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

This is so hard I don’t even know

plssss helpppp !!!! find the missing side length me in the rectangular prism

Answers

The s=140.5 and the r=9.192 but rounded that would be r=9.2

If a projectile is fired straight upward from the ground with an initial speed of 64 feet per
h(t) = - 16t? + 64t. Find the maximum height of the projectile.
The maximum height of the projectile is
(Simplify your answer.)

Answers

Answer:

h = 64 feet

Step-by-step explanation:

If you graph the function you see that 64 feet is the maximum of the parabola so this is the max height that the projectile reaches.

Write the equation of this linear relationship in slope intercept form, use decimals in your answer!! Please help

Answers

Answer:

[tex] y = 0.35x + 1.5 [/tex]

Step-by-step explanation:

To write an equation to represent the linear relationship in slope-intercept form, as [tex] y = mx + b [/tex], we need to determine the slope (m) and the y-intercept (b).

Find slope (m) using of the line that passes through (0, 1.5) and (100, 36.5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{36.5 - 1.5}{100 - 0} = \frac{35}{100} = 0.35 [/tex]

The y-intercept (b) is the value of y when x = 0. It is the point where the y-axis is intercepted. Form the table, we see that y = 1.5 when x = 0. Therefore,

y-intercept (b) = 1.5

Substitute m = 0.35, and b = 1.5 into [tex] y = mx + b [/tex], to get the equation.

The equation would be:

✅[tex] y = 0.35x + 1.5 [/tex]

I’m having trouble with this

Answers

Answer:

24 or 25, because of the max height it can reach on the graph, its reaching the maximum height it can go

-

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

BD = 63

Step-by-step explanation:

[tex] \frac{2}{12} = \frac{9}{CD} \\ \\ CD= \frac{12 \times 9}{2} \\ \\ CD = 6 \times 9 \\ \\ CD = 54 \\ \\ [/tex]

BD = BC + CD = 9 + 54

BD = 63

How many solutions does 4(3x+2)=4(2x+3) +4x have?

Answers

Final Answer: No Solution. 4(3x + 2) = 4(2x + 3) + 4x has 0 solutions.

Steps/Reasons/Explanations:

Hey there! 8 = 12 would have No Solution because 8 doesn't equal 12. An example of 1 solution is 12 = 12.

Question: How many solutions does 4(3x + 2) = 4(2x + 3) + 4x have?

Step 1: Expand.

[tex]12x + 8 = 8x + 12 + 4x[/tex]

Step 2: Simplify [tex]8x + 12 + 4x[/tex] to [tex]12x + 12[/tex].

[tex]12x + 8 = 12x + 12[/tex]

Step 3: Subtract [tex]12x[/tex] on both sides.

[tex]8 = 12[/tex]

Step 4: Because [tex]8 = 12[/tex] is false, there is no solution.

No Solution

~I hope I helped you :)~

Answer:

Step-by-step explanation:

steps are stated below

step 1

4(3x+2)=4(2x+3) +4x  equation

step 2

4(3x+2)=4(2x+3) +4x  simplify

(4)(3x)+(4)(2)=(4)(2x)+(4)(3)+4x

step 3

12x+8=8x+12+4x  distribute

step 4

12x+8=(8x+4x)+(12)  combine the terms

12x+8=12x+12

step 5

12x+8(-12x)=12x+12(-12x)  subtract

8=12

step 6

8(-8)=12(-8)

0=4

Answer

No solution

pls help ill give extra points

Answers

Answer:

13x

Step-by-step explanation:

Answer:

13x

Step-by-step explanation:

So we need to make the denominator equal in order to collect like terms.

25x^2/5x+8x^2/x =?

Denominator needs to be 5x so multiply the second quotient by 5.

25x^2/5x + 40x^2/5x = ?

=65x^2/5x

=13x^2/x      <---- x^2/x is like 2-1 which is exponent 1, x to the exponent 1 is x

=13x

Your answer is 13x

Please help I have searched this question and have not found it. I am bad at math and I'm taking a test and need answers so please help me

Juanita has completed typing 6 pages of her term paper. If her term paper is 18 pages long, how many more pages does she have to type?
A. 3 pages

B. 11 pages

C. 12 pages

D. 14 pages

Please select the best answer from the choices provided

Answers

Answer:

C because 18-6=12

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

all you do is subtract lol

The rug in Diana's dining room is 216 inches by 240 inches. She wants to put a similar-sized rug in her living room. What size rug would be similar to the dining room rug?

A. 84 inches by 96 inches
B. 108 inches by 110 inches
C. 96 inches by 118 inches
D. 72 inches by 80 inches

I"LL GIVE BRAINLIEST!!!!

Answers

Answer:

D

Step-by-step explanation:

In order for the rug to be similar to the first rug, the measurements must have the same ratio as the original measurements.

Longer over shorter: 240/216 = 10/9

Let's look at A: 96/84 = 8/7 (NOT 10/9)

Let's look at B: 110/108 = 55/54 (NOT 10/9)

Let's look at C: 118/96 = 59/48 (NOT 10/9)

Let's look at D: 80/72 = 10/9 (= 10/9)

D is similar

Hope this helps!

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