If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value of
x such that gof(x) = 8.​

Answers

Answer 1

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

To find g(x), we can start with the inverse of f(x).

  f(y) = x . . . . . . . solve this to find f^-1(x)

  3y -2 = x

  3y = x +2 . . . . add 2

  y = (x +2)/3 = f^-1(x) . . . . divide by 3

__

Now, we can find g(x):

  f^-1(f(g(x)) = g(x)

  f^-1(6x -2) = ((6x -2) +2)/3 = g(x)

  6x/3 = g(x) = 2x

__

Now, we want g(f(x)) = 8

  g(3x -2) = 8

  2(3x -2) = 8

  6x -4 = 8

  6x = 12

  x = 2 . . . . makes g(f(x)) = 8


Related Questions

If x=(y+2)^2 and y= -7 then what is x

Answers

Answer:

X=25

Step-by-step explanation:

y+2=-7+2=5

[tex]5^{2} =25[/tex]

The answer should be x=25

Alan set his watch 13 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Alan last set his watch if the watch is 35 seconds behind?

Answers

it would be 22 days.

31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.

 

Now, that really isn't complicated, right?

If the answer isn’t an integer express in simplest radical form

Answers

Answer:

[tex]x = \frac{20}{ \sqrt{3} } \\ y = \frac{40}{ \sqrt{3} } [/tex]

Step-by-step explanation:

[tex]for \: \: x \\ \tan(60) = \frac{20}{x} \\ \sqrt{3} = \frac{20}{x} \\ x = \frac{20}{ \sqrt{3} } \\ \\ for \: y \: \\ \sin(60) = \frac{20}{y} \\ \frac{ \sqrt{3} }{2} = \frac{20}{y} \\ \sqrt{3} \: y = 20 \times 2 \\ y = \frac{40}{ \sqrt{3} } [/tex]

I hope that is useful for you :)

Can you construct a triangle that has side lengths 4 m, 5 m, and 9 m? yes no

Answers

Answer:

Yes

Step-by-step explanation:

A triangle can have any side lengths as long as they all touch to make a triangle

Answer:

yes

Step-by-step explanation:

you just had to divide then subtract

What is the solution to this system

Answers

Answer:

(1, - 1)

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (1, - 1)

Then (1, - 1 ) is the solution to the system.



[tex](2 \div 2 \sqrt{2) ^{2} } [/tex]
what is the answer ​

Answers

Hopes this helps:

Answer: 2

PLSSS HELP IMMEDIATELY!!! ILL GIVE BRAINIEST!!! (if u provide a link, i’m not giving u brainiest!)

Answers

Answer: B. (2,1)

Step-by-step explanation:

its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.

It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.

That's the same thing for A so your answer is b.

Answer:

B.......................

Can somebody plz help answer these questions correclty (only if u remmeber how to do these) thanks sm!

WILL MARK BRAINLIEST WHOEVER ANSWEERS FIRST :DDD

Answers

Answer:

a= 126 degrees

b= 54 degrees

r= 54 degrees

s= 126 degrees

Step-by-step explanation:

Brian owes his mom $18 if his mom agrees to give him $30 for cleaning the house how much money will he have after he pays off his debt

Answers

Answer:

Brian will have $12 dollars left.

Step-by-step explanation:

30 - 18 = 12

A drug store chain provides an app to its customers to track their shopping habits. One statistic the app

tracks is the amount of money the customer saves by purchasing sale items. The company's sales

team pulls data from the previous year for a random sample of 50 customers. They find that the

mean amount of money saved by these customers in the previous year is $154 with a standard

deviation of $26.

(a) Construct a 99% confidence interval for the true mean amount of money saved by all customers

in the previous year by purchasing sale items.

(b) The sales team would like to repeat this study with the goal of obtaining a smaller margin of

error. Propose two changes that would decrease the margin of error. What are potential

drawbacks if those changes are implemented?

Answers

Answer:

a) CI ( 99% )  = ( 145,45 : 162,55)

b) b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

Step-by-step explanation:

a) CI = 99 %       α = 1%   α = 0,01

From z-table     z(c)  ≈ - 2,325    |z(c)| ≈ 2,325

CI = ( μ₀ ± z(c) * σ/√n )

CI = ( 154 - (2,325) * 26/√50 ; 154 + (2,325) * 26/√50 )

CI = ( 154 -  8,55  ;  154 + 8,55

CI ( 99% )  = ( 145,45 : 162,55)

b) In order to decrease the MOE the sales team has to increase the sample or decrease de 99% of the CI  let´s say to 95 % but in that case

you will increase de error type I

A right triangle has a 30° angle and the adjacent side to
the angle of length 6, draw the triangle and label all
sides and angles. Round to the nearest tenth.

Answers

Answer

let the triangle be supposed ABC

where angle BAC is 30 degree and angle ACB is 60 degree and where we know that angle ABC is right angled triangle which means angle ABC = 90 degree

the base side of triangle is 6cm which means ;

By taking angle A as reference angle

Hypotenuse = AC = x(let)

perpendicular = BC

base = AB = 6 cm

    then by taking base and hypotenuse

b/h = AB/AC

or, cos (30 degree)= 6/ x

x =[tex]4\sqrt{x} 3[/tex] cm

that concluded that AC = [tex]4\sqrt{3}[/tex] cm

  Now,

by phythagorous theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

[tex]AC =\sqrt{AB^{2} + BC^{2} } AC = \sqrt{6^{2} + 4\sqrt{3} ^{2}} \\AC = 2\sqrt{21 } cm[/tex]

 

so, the length of side AB is 6 cm , BC is 4[tex]\sqrt{3}[/tex] cm and AC is 2[tex]\sqrt{21}[/tex] cm

Step-by-step explanation:

What is 4x+6<22 ? I fleet getting incorrect answers

Answers

Answer:

The answer is x < 4

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]4x < 22 - 6[/tex]

2) Simplify 22 - 6 to 16.

[tex]4x < 16[/tex]

3) Divide both sides by 4.

[tex]x < \frac{16}{4} [/tex]

4) Simplify 16/4 to 4.

[tex]x < 4[/tex]

Therefor, the answer is x < 4.

Ahh i hate math fr someone help

Answers

i think C but probably try to find something to back it up
All you gotta do is divide the pound by the cost

I'll give you the brainliest

Answers

Answer:

>

Step-by-step explanation:

sqrt{17} > sqrt{11}

Answer: >

Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.

How many ounces are in 2 1/2 gallons?

Answers

320 fluid ounces

because one gallon has 128 fluid ounces

In ΔLMN, l = 32 inches, m = 37 inches and n=46 inches. Find the area of ΔLMN to the nearest 10th of an square inch.

Answers

Answer:

587.9

Step-by-step explanation:

Delta math

An airplane's altitude changed -378 feet over 77 minutes. What was the mean change of altitude in feet per minute?

Answers

Answer:

-4.91 feet

Step-by-step explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = Total change in altitude / total time

378 / 77 = 4.91

Find an angle in each quadrant with a common reference angle with 258°, from 0°≤θ<360°

Answers

132 degrees



Subtract 360 degrees from 258 to get =132 degrees

The reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

What is the reference angle?

the angle between the terminal side of the angle and the x-axis.

For the first quadrant:

The reference angle = 258 - 180 = 78°

For the second quadrant:

= 180 - 78 = 102°

For the third quadrant:

= 78 + 180

= 258°

For the fourth quadrant:

= 360- 78

= 282°

Thus, the reference angles are in the first, second, third, and fourth is 78°, 102°, 258°, and 282° respectively.

Learn more about the reference angle here:

brainly.com/question/16210309

#SPJ2

HELP PLS
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?

Answers

1 1/2+3 1/4
convert 1 1/2 to 1 2/4
1/4 + 2/4 = 3/4
1+3=4 + 3/4 = 4 3/4
turn 6 1/2 to 6 2/4
6 2/4 - 4 3/4 = 1 3/4

universal pet place.

Answers

Petco petsmart there’s tons

Joshua has 3.95 pounds of candy. He is placing the candy into 5 equal size bags. How much candy will be in each bag?





Answers

each one should be 0.79 pounds. this was found through basic division.
0.79 pound of candy in each bag

What is the value of 24/25 divided by 4/5

Answers

Answer:

1.2

Hope it helps :)

[tex]\frac{24}{25}*\frac{5}{4}\\\\\\=\frac{6}{5}[/tex]

A store owner offers a discount of 20% off the regular price of all jackets. Jessica has a coupon that gives her an additional 5% off the discounted price. The original price of the jacket Jessica buys is $84. What is the price of the jacket after the discount and Jessica's coupon? ​

Answers

Answer:

21

Step-by-step explanation:

I haven't done this in a long time but this is what I know: the discount would overall be 25%. So, you set it up by .25(84) = 21. Therefore the jacket would cost $21.

I hope this is right and helps!

Find the surface area of a cubical planter
measuring 30 inches on a side.

Answers

30 x 30 = 900

This is the surface area of one side

900 x 6

Multiply by 6 to get the surface area of all 6 sides of the cube

900 x 6 = 5400

Expand 3(n + 7) show FULL work

Answers

Answer:

3n + 21

Step-by-step explanation:

3(n + 7)

3n + 21

Find the volume of the cylinder. Use 3.14 for T.

height of 3 radius of 3

Answers

Answer:

84.82

Step-by-step explanation:

π·32·3≈84.823

Answer:

The volume of a cylinder with a height of 3 and a radius of 3 is 84.823 or you could say 84.8.

Step-by-step explanation:

Type a digit that makes this sentence true!

Answers

Answer:

1

best answer ever be amazing

pls help asap this is too hard helpme

Answers

Please mark me brainliest!!!

It’s a= -1/2

Hope this helps!

14. The diagonals of square ABCD intersect at E. If AE = 2, find the perimeter of ABCD.

Answers

Answer:

B, [tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Diagonals of a square are congruent so AC= 4

using pythagorean theorem we can then do [tex]x^{2} +x^{2}[/tex]=[tex]4^{2}[/tex]

[tex]2x^{2} = 16\\x^{2} =8\\x=\sqrt{8} \\x=2\sqrt{2}[/tex]

Then for perimeter we times the [tex]2\sqrt{2}[/tex] by 4 and get

[tex]8\sqrt{2}[/tex]

Hope this helps and please mark brainliest!!

If today is Wednesday what is it like hood tomorrow will be Saturday?​

Answers

Answer:

zero

Step-by-step explanation:

If today is Wednesday, the probability of tomorrow being Saturday is zero.

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