Please help!!
Given f(x) = 3x-4 and g(x) = 2x+6 , find (fog)(x)

Answers

Answer 1

Answer:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex]=f(g(x))[/tex]

Then by substitution:

[tex]=f(2x+6)=3(2x+6)-4[/tex]

Evaluate:

[tex]=f(g(x))=6x+18-4=6x+14[/tex]

Therefore:

[tex](f\circ g)(x)=6x+14[/tex]


Related Questions

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 4 if she rolls the two number cubes 216 ​times?

Answers

Answer:

18 times

Step-by-step explanation:

Sample space ; roll of 2 number cubes = 6^2 = 36

Sum of 4 in 2 cube rolls = 3

Probability = required outcome / Total possible outcomes

P(sum of 4) = 3 / 36 = 1 / 12

If number cube is rolled 216 times :

Probability on 1 roll * Number of rolls

(1 / 12) * 216

0.0833333 * 216

= 18

1.309 > 1.315 lololoolollooolllllllllllllllllllll

Answers

Answer:

I’m confused on what you want me to do but that is false

Step-by-step explanation:

Answer:

the answer is 1.309<1315

Please help I don't know how to do this

Answers

i not sure but i think its  183

Answer:

question 18 asking for a equation for each week 89÷4

question 19 would be 60 + 123 = 183 then 183 ÷ 4 = 45.75

–4v – 9z – 9v + 2 – 4v find the sum

Answers

Answer:

-1x(13v+9z+2)

Step-by-step explanation: try solve this :)

Answer

-17v-9z+2

Step-by-step explanation:

First collect the like terms

-4v-4v-9v-9z+2

-17v-9z+2

Since we can no longer add up due to they are unlike term. Therefore our answer is -17v-9z+2

Can you help me please it’s is due tonight please help me

Answers

Answer:

The neighbors paid him 24

Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

Using rise over run for the two points

4 - 0/ -1 - 3 = -1

Answer:

We found 2 coordinates

1. ( 0 ,3)

2.(3,0)

Now slope = tan theta = 3/3 = 1

Answer is 1

Mark it as brainlist answer

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

20

Step-by-step explanation:

When you simply the improper fractions, you will get this

[tex]9 + 11 = 20[/tex]

Which is 20

Hope this helped

Answer: 20 or 20 1/2

Step-by-step explanation:

I don’t know really but the real answer is 20 1/18

You roll a standard number cube (six-sided die) 7 times. Assume that each number is equally likely to come up each time you roll. If there is a 1/3
probability of rolling a number less than 3, what is the probability that a number less than 3 comes up exactly 4 of the 7 times? Round your answer to 3
decimals.

Answers

Answer:

.190

Step-by-step explanation:

1/3 probablitliy for rolling a number less than three.

571428 probability for rolling exactly four of the seven times.

1/3 x 4/7 = 190476190476190476190476190476194

Rounded to three decimals =.190

Hope this helps!

Mark Brainliest plz!

190 hope i helped goodbye

En tres partidos de besisbol de fin de Semana, hubo 125,429 espectadores .La Semana siguiente hubi 86,353 especradores cuantos espectadores en total presenciaron los seis partidos en total

Answers

Answer:

211,782

Step-by-step explanation:

Esta pregunta es muy fácil porque Los espectadores en total que presenciaron los seis partidos en total es la suma de ambos.

125,429 en uno lado y 86,353 en uno lado. Y eso es igual

125,429 + 86,353 = 211,782

Los espectadores en total que presenciaron los seis partidos en total es 211,782

Kevin can travel 24 1 4miles in 1 3hour. What is his average speed in miles per hour?

Answers

Answer:

The answer is about 331 miles.

Step-by-step explanation:

I took the test and the answer is correct <3!

Answer:

deeznuts

Step-by-step explanation:

ha got tem

A student solves the inequality −5v>55. Each step in the student's solution is shown below. Identify where the student made any errors.

Answers

Note: Steps of student are not given. So, the proper steps of the solution are provided below.

Given:

The inequality is

[tex]-5v>55[/tex]

To find:

Where the student made any errors?

Solution:

We have,

[tex]-5v>55[/tex]

On dividing both sides -5 change the sign of equality because -5 is a negative number.

[tex]\dfrac{-5v}{-5}<\dfrac{55}{-5}[/tex]

[tex]v<-11[/tex]

Therefore, the solution of given inequality is [tex]v<-11[/tex].

A gymnast scores a total of 125 points in the first 4 meets of the season. At this rate, how many points will she score by the end of 14 meets

Answers

Answer:

i dont know but will u date me

Step-by-step explanation:


Help me pleaseeee I don’t know what to do!!

Answers

Answer:

the answer is the M

Step-by-step explanation:

angle A and M both have 2 arcs which means they are congruent(equal)

Please find the sum for 2/8 + 3/6 hurry please

Answers

Answer:

0.75

Step-by-step explanation:

hope this helps you




hi guys













i need help only 19​

Answers

y = 2/3x + 11/3

slope: (y2-y1)/(x2-x1) = (5-3)/(2- -1) = 2/3

point intercept form: (y-y1) = m (x-x1)
(y-3) = 2/3 (x+1)

solve for y
y-3 = 2/3x + 2/3
y = 2/3x + 11/3

What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula

Answers

Answer:

x= −5−11√13/2, −5+11√13/2

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x= −5−11√13/2, −5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Step-by-step explanation:

x(x+5)=387

Simplify

x(x+5).

x^2+5x=387

Subtract 387 from both sides of the equation.

x^2+5x−387=0

Use the quadratic formula to find the solutions.

−b±√b^2−4(ac)/2a

Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1

Simplify.

x=−5±11√13/2

The final answer is the combination of both solutions.

x=−5−11√13/2, −5+11√13/2

The result can be shown in multiple forms.

Exact Form:

x=−5−11√13/2,−5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Hope it is helpful....

Answer:

[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

x(x + 5) = 387

Step 2: Identify Variables

Rewrite

[Distributive Property] Distribute x:                                                               x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides:                  x² + 5x - 387 = 0Part:                                                                                                                 a = 1, b = 5, c = -387

Step 3: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply:                                                                                         [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply:                                                                  [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify:                                                                        [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]

hii please help i’ll give brainliest if you give a correct answer!

Answers

Answer:

8 and 1/4 cups sugar is your answer. In 5 and 1/3 cups is 8 and 1/4 cups sugar.

Step-by-step explanation:

Brainly please hope this is correct please tell me if I wrong.

Herbert is decorating the bulletin board at school.The bulletin board is 7 ft by 11 ft.He decides to add a black border.What is the length of the border needed?

Answers

Answer:

36 feets

Step-by-step explanation:

The dimension of bulletin board = 7 feets by 11 feets

Bulletin boards are shaped as a rectangle :

To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa

However, total Lenght of black border :

(11 * 2) + (7 * 2)

22 + 14

= 36 feets

Heidi is driving 200 miles. She has finished 80% of the drive. How many miles is 80% of Heidi's drive.

Answers

Answer:

160 miles

Step-by-step explanation:

200 * 0.8 is 160

Answer:

160 miles

Step-by-step explanation:

80/100*200

80*2

160

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

what r passing marks out of 40​

Answers

Answer:

36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D

Step-by-step explanation:

Answer:

18 is ur answer

thank you

Phil is buying a sandwich. He has the following choices.

Bread: wheat (W), italian (I), baguette (B)
Cheese: grated (G), sliced (S)
Meat: chicken (C), turkey (T), fish (F), ham (H)

If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?
WIG, WCT, WGS, WST
WG, WS, WC, WT
WGT, WGF, WSC, WSH
WGSC, WGT, WBS, WGSF

Answers

Answer:

its WG, WS, WC, WT

Step-by-step explanation:

Answer:

wgt, wgf, wsc, wsh

Step-by-step explanation:

what 20,000 divided by 24 ?

Answers

Answer:

833.3333333

Step-by-step explanation:

hope this helps

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow 20000/24 [/tex]

[tex]\qquad\sf\dashrightarrow 10000/12 [/tex]

[tex]\qquad\sf\dashrightarrow 5000/6 [/tex]

[tex]\qquad\sf\dashrightarrow 2500/3 [/tex]

[tex]\qquad\sf\dashrightarrow 833.3 [/tex]

convert 4/6 into a decimal

Answers

Answer:

.66

Step-by-step explanation:

cmon bro how do u not know this

4 divide 6

.66666666666666666666666666666666666

What is the range of the function shown on the graph above

Answers

You did not attach a picture of the graph

lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what was his comission

Answers

Given:

Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.

Consider his last month sales is 38,000.

To find:

The total commission.

Solution:

4% commission on the first 10,000 of monthly sales is

[tex]10,000\dfrac{4}{100}=400[/tex]

Sales over 10,000 is

[tex]38,000-10,000=28,000[/tex]

10% commission on all sales over 10,000 is

[tex]28,000\times \dfrac{10}{100}=2,800[/tex]

Now, the total commission is

[tex]400+2,800=3,200[/tex]

Therefore, the total commission is 3,200.

Four triangles with bases of 12 centimeters and heights of 8 centimeters were used to form a parallelogram. Calculate the area of the parallelogram.

Answers

Answer:

192

Step-by-step explanation:

12 x 8 x 4 x1/2 = 192

192

Evaluate (49/64) ^1/2 write it as a fraction

Answers

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

Tom is playing at the opposite corner of the playing field to his friend . If the playing field is 180m wide and Tom is 300m away from his friend, how long is the playing field

Answers

Answer:

240 m

Step-by-step explanation:

we can picture this as a right triangle

(180)^2 + (l)^2 = (300)^2

300 would be the diagonal of the triangle since it is at the opposite corner

180 would be the height/leg of the triangle

Find the area of a vertical cross section through the centers of the bases of a cylinder with height of 27 inches and a circumference of about 47.1 inches. Use 3.14 for π.

Answers

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2

Necesito ayuda con el punto 4

Answers

Can’t see pictures and translate in English
Lo siento, pero no veo la foto.
Other Questions
Which statements describe how traits are inherited? Check all that apply. An offspring always receives different alleles from each parent. An offspring always receives the same alleles from each parent. An offspring can receive different alleles or the same alleles from each par Traits are inherited when proteins are passed from parents to offspring. Traits are inherited when genes are passed from parents to offspring. 1. What is an air mass?A. A small body of air that develops over time.B. A large body of wind that makes up the Earth.C. large body of air that has properties similar to the part of Earth's surface over whichit develops. Taher, an employee with Wilco Plumbing, has been transferred to a different division within the company. To facilitate a smooth transition, the company has initiated a program for Taher that will provide him with the knowledge and skills required to perform the new role effectively. Which of the following human resource management practices did Wilco Plumbing perform?a) trainingb) job analysisc) performance managementd) selectione) recruitment Remember in middle and elementary school, we were obligated to only bring healthy snacks and couldn't bring cheetoes, doritos, etc Solve for y.y2177 How many solutions does this is have 6(x - 6)+ 26=6x - 10Show all work please! A parabola opening up or down has vertex (0,-1) and passes through (4,-2). Write its equation in vertex form pls answer fast i'll give brainliest PLEASEEEEEE HELP I WILL MARK BRAINLIEST!!!!!!!!!!!!!!! Need help............ Give brainly to the first one to answer Where you satisfied with your suggestion? What were your insights and learning from the different situation presented? Imagine you are a scientist, working at betty crocker institute on how to cook good. You are tasked with coming out with a new model of baking dish. your materials for making the baking dish are covalent compounds like plastic, and ionic compounds like plaster. which material would you make the baking dish out of and why? The concept of popular sovereignty is compatible with which form of government AdemocracyBaristocracytheocracyDdictatorship simplify your answer what is the projected growth for this career between 2019 and 2029? faster than averageaveragelittle or no changedecline the ratio of boys and girls is 4:5 calculate the number of boys if the are 1080 learners in schools The gravity of Earth is attracting a person towards the center with 500N of gravitational force. The person is exerting a reactionary force on the Earth with how much force? Explain your thinking behind this. A group of students launches a model rocket in the vertical direction. Based on tracking data, they determine that the altitude of the rocket was 89.6 ft at the end of the powered portion of the flight and that the rocket landed 16.5 s later. The descent parachute failed to deploy so that the rocket fell freely to the ground after reaching its maximum altitude. Assume that g = 32.2 ft/s2.Determine (a) the speed v1 of the rocket at the end of powered flight, (b) the maximum altitude reached by the rocket. One of the key decisions employers must make is the level of compensation provided to employees. Compensation is a significant cost, and employees are one of the most important assets of the organization. It is important that the organization makes and executes good strategic choices. To facilitate this process, many organizations think systematically about its job structures for compensation and pay levels for different jobs. An organization's job structure consists of relative pay for different functions and different levels of responsibility. It defines, for example, the difference in pay between entry-level and management jobs, as well as different entry-level jobs in different departments, such as in production or accounting. Pay level is the average amount that an organization pays for a particular job and includes wages, salaries, and bonuses. Job structure and pay levels together form the pay structure, a policy that helps the organization achieve goals related to employee motivation, cost control, and the ability to attract and retain talented employees. This activity is important because it will help you distinguish between the various factors that impact an organizations pay structure. The goal of this activity is to classify decisions based on the factors used to establish a pay structure.HR professionals develop pay structures for their organations based on such factors as legal requirements, company goals, and market forces. Drag each item into the appropriate column on the chart.1. Equal pay for equal work 2. National compensation survey 3. Product markets 4. Benchmarking 5. Equitable pay rates 6. Child labor laws 7. Federal minum- wage laws 8. Overtime pay9. Retention of talented staff10. Trends in labor markets 11. Company cost centersA. Legal Requirements B. Organizational Goals C. Market Forces