If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?

Answers

Answer 1

Answer:

[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers

Step-by-step explanation:

[tex]a(x) = 3x+1[/tex]

[tex]b(x)=x-4[/tex]

[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]

Therefore, the domain of the composite function is all real numbers.


Related Questions

Please help me with these questions

Answers

Answer:

okay the first questions answer is ,c,is true and rest of them are false

Becoming a member at fitness club costs ​$50 plus a monthly fee of ​$25. Using the​ graph, estimate how many months a person has been a member if he has paid a total of ​$250.

Answers

Answer:

0.3

Step-by-step explanation:

Four internet providers offer similar services to almost everyone in the city. Any new company would have to engage in a price war with the existing companies

Answers

What are you asking? If it’s true or false it’s TRUE?

please help me this question

Answers

Answer:

x-5y

Step-by-step explanation:

6x-5x=x

-8y+3y=-5y

The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increasing at the instant its radius is 2 inches?

Answers

Answer:

0.0597in/s

Step-by-step explanation:

The volume of the spherical balloon V= 4/3πr³

r is the radius of the balloon

The rate at which the volume is changing dV/dt is expressed as;\

dV/dt = dV/dr*dr/dt

dV/dr = 3(4/3πr²)

dV/dr = 4πr²

dV/dr = 4π(2)²

dV/dr = 16π

dV/dt = 3 in³/s

Substitute inti the formula

3 = 16πdr/dt

dr/dt = 3/16π

dr/dt = 3/50.24

dr/dt = 0.0597in/s

Hence the balloon is increasing at the rate of 0.0597in/s

evaluate the following trigonometric expression

Answers

Answer:

-60

hope it helps

Determine the intercept of the line

Y-intercept: (___,___)
X-intercept: (___,___)

Answers

Answer:

y-inter:(0,-44)

x inter:(-10,0)

can someone please help me with this question ​

Answers

Answer:

3/5 * 5/6

= 15/30

Step-by-step explanation:

So the answer is the third one in line

Answer:

15/30 (simplified).

Step-by-step explanation:

[tex]3/5*5/6[/tex]

To multiply the find the value of this problem, multiply the numerators and denominators.

Remember, numerators are the numbers above the fraction bar.

Denominators are the numbers below the fraction bar.

Numerators: 3, 5

Denominators: 5, 6

[tex]3*5=15[/tex]

[tex]5*6=30[/tex]

After finding the products, add the fraction bar.

[tex]15/30.[/tex]

In most cases, you will be asked to simplify. It does not seem like simplifying is required in this question.

But, I'll simplify anyway.

15/30 = 1/2 (simplified).

A coin-operated machine sells plastic rings. It contains 11 orange rings, 15 green rings, 0 pink rings, and 5 yellow rings. Patricia puts a coin into the machine. Find the theoretical probability she gets a yellow ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth

Answers

Answer:

16.129

Step-by-step explanation:

11+15+5=31

5÷31=0.16129

0.16129x100

=16.129

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

15.7

Step-by-step explanation:

Because the width has to be bigger than the length since its a rectangle and 15.7 matches the equation of 43.8 and 12.4

Answer:

P = 2(l + w)

43.8 = 2(12.4 + x )

43.8 = 24.8 + 2x

43.8 - 24.8 = 2x

19 = 2x

Divide both side by two;

x = 9.5 ft

what is the answer please help

Answers

180 degrees - 46 degrees
= 34 degrees

Three fifths of the adults at a party are male.
There are 40 adults at the party.
How many of the adults are male?

Answers

24 of the adults at the party are males.

Select the correct answer.
Consider the function f(t) = 2* and function g.
g(t) = (1) + 6
How will the graph of function g differ from the graph of function f?
ΟΑ.
The graph of function g is the graph of function fshifted 6 units to the left.
B.
The graph of function g is the graph of function fshifted 6 units up.
Ос.
The graph of function g is the graph of function fshifted 6 units to the right.
OD.
The graph of function g is the graph of function fshifted 6 units down.

Answers

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

[tex]f(x) = 2^x[/tex]

[tex]g(x) =2^x + 6[/tex]

Required

Compare g(x) to f(x)

Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]

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

This implies that f(x) is shifted 6 units upward to give g(x)

A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a percent? (Show Work Please)

Answers

Answer:

 2300/4500 = 23/45 = 0.511

 

As a percent,

   0.511*100% = 51.1%

Step-by-step explanation:

since 100% = 1, this is multiplying by 1

Answer:

51.1%

Step-by-step explanation:

To find the answer you first need to find 1%=45

then you need to do 2300 divided by 45=51.1% or you can keep putting 111

Hope this is useful

Del siguiente conjunto de datos calcula lo que se te pide: 3,6,8,4,3,2,6,7,1,5,4,8,4

¿cual es la media? del problema
cual es la moda?

Answers

Answer:

Moda = 4

Media = 4

Step-by-step explanation:

primero tienes que ordenarlos

1,2,3,3,4,4,4,5,6,6,7,8,8

La moda es el elemento que más se repite entonces es el 4

La media es el elemento que esta al medio, en este caso son 13 números

13/2 = 6.5, el elemento que esta en la séptima posición  7 es la media

media= 4

NJa a Qi oaoanBakabhaiwowmsbzksoajns

Identify the location of the point (-3, -2).

Answers

point S is where (-3, -2)

What are the coordinates of the point plotted on this graph?

Answers

The answer would be C: -2,0

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?

36.9°
41.4°
48.6°
53.1°

Answers

Answer:

It would be 53.1

Step-by-step explanation:

Vote branlyist Please...

The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is; D:  53.1°

What is angle of elevation?

We are told that she dived into the pool that was 8 ft deep.

She touches the bottom with her hands 6 ft horizontally.

Thus, a triangle is formed here with 8 being the opposite side of the angle of elevation and 6 being the adjacent side of the triangle.

Using trigonometric ratios, we can say that;

θ = tan⁻¹(8/6)

θ = 53.1°

Read more about angle of elevation at; https://brainly.com/question/19594654

A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?

Answers

9514 1404 393

Answer:

  1/4 mile

Step-by-step explanation:

The length and width of a square are the same.

The length is 1/4 mile, so the width of the park is 1/4 mile.

Problem:

A square park has an area of 1/16 square miles and a length of 1/4 mile. What is the width of the park?

The formula for width is:

[tex]\quad \quad \quad \boxed{ \tt{width = \frac{area}{length}}}[/tex]

Lets try!

[tex]\quad \quad \quad{\tt{w = \frac{1}{16} \div \frac{1}{4} = \boxed{\tt{0.25}}}}[/tex]

Lets convert it to fraction:

[tex]\quad \quad \quad \boxed{ \tt{w = 0.25}} \: ➡ \boxed{ \tt{w = \frac{1}{4}}}[/tex]

So the value of width is:

[tex]\boxed{ \tt{w = \frac{1}{4}}}[/tex]

_________

#LetsStudy

A person travels 620 mi in 10 hours. What is the rate in miles per hour?

Answers

Answer:

62 miles per hour

Step-by-step explanation:

620mile/10hrs

62miles/hr

62 miles per hour

Pls help I’ll brainlest

Answers

Answer:

A

Step-by-step explanation:

5 x 10^4/2.5 x 10^2

10^2 gets cancel out by 10^4

5 gets divided by 2.5 which equals 2

Leaving us with 2 x 10^2

Answer:

A

Step-by-step explanation:

2 x 10^2

...................................​

Answers

Answer:

50 = -16t² + 12t + 8

Step-by-step explanation:

50 = -16t² + 12t + 8

How many inches is the circumference of this circle?

Type in your answer WITH NO LABEL, JUST THE NUMBER.

Answers

Answer:

Diameter(line going across the circle that you've given) = 6 in

Radius(half of diameter) = 3 in

Circumference(the perimeter of the circle) = 18.85 in

Area = 28.27^2

Step-by-step explanation:

In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.

Answer:

The circumference of a circle is about 18.85 inches.

Step-by-step explanation:

The radius is always half of the diameter, and the diameter is 6 inches.

6 divided by 2 is 3, so the radius of this circle is 3 inches.

The formula for circumference of a circle is :

C = 2πr = 2 · π · 3 ≈ 18.84956

The circumference of a circle is about 18.85 inches.

please answer! yes I'll mark as brainliest​

Answers

7/4

Step-by-step explanation:

The line would go up 7 points (from -3 to 4) and across 4 points (from -3 to 1)

The correct answer is B. 7/4

find two consecutive whole numbers that square root of 84 lies between ​

Answers

Answer:

9 and 10

Step-by-step explanation:

the closest squares to 84 are 81 and 100 which those square roots are 9 and 10 respectively so the square root of 84 is between the consecutive whole numbers nine and ten

ps in a calculator the sqrt of 84 is 9.16515139...

Hope this helps! :)

A kitchen floor can somebody plzzzz helpppp

Answers

Answer:   876

Step-by-step explanation:so all you need to do is go into  

876 is the correct answer

Plzzz someone help i just need the formula

Answers

Answer:

[tex]S(y)=36000*(1+0.03)^{y}[/tex]

Step-by-step explanation:

Answer:

y=36,000×1.03^x

Step-by-step explanation:

17. The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input output pairs to show the cost of the phone and phone plan after 2. 12. and 24 months.​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

To compute a value for the table put the given "input" into the formula and do the arithmetic. Repetitive arithmetic is often easily handled by a graphing calculator or spreadsheet.

Example:

  for n=2, C = 40·2 +210 = 80 +210 = 290

Please help and find and explain Claire’s Mistake

Answers

Mark brainliest please

Answer is : Mistake is in step 1

It should be 4 * 10^ 3/ 4* 10^-5

So answer is 1* 10^8

At a new school there are 2 teachers of every 15 students. If the school has 42 teachers, how Many students are there in the school?

Answers

Answer:

proportion

Step-by-step explanation:

2----> 15

42--->x

x=(42*15)/2

x= 21 *15.

x= 315

therefore there are 315 students in the school

26378383&&3$73 nzndbnsjdbdbsnsbbsns 827383 jshsbsbsnbsbsbsbbdnsjshbsnsj djidnebejhebdj jdjdbdjjdbdjdj 37387383
Other Questions
why did President Ronald Reagan encourage Congress to increase defense spending Find the missing length indicated. Hey can someone help me out? based on this expert which statement is the most accurate assessment of churchill's use of rhetoric? Which sports-training principle refers to how long the body takes to heal and rest before being ready to "work" again?A. recovery periodB. injury preventionC. frequencyD. specificity help What element provides strength to the exoskeleton of Clams and oysters Find the distance from the person to the tower, given that the nested triangles are similar.PLEASE HELP ASAP!!!!! due in 5 minutes what is the meaning of haggling in marketing A 0.500 m length of wire with a cross-sectional area of 3.14 * 10 ^ - 6 meters squared is found to have a resistance of 2.53 * 10 ^ - 3 ohms according to the resisting chart, from what material is the wire made?PLEASE HELP MEEEEEEE What were Japanese Internment (Prison) camps REALLY like?And remember if you dont know the answer or dont understand it and just want points dont even bother to write a ANSWER down because it is irritating and annoying and it lastly wastes my time and has no help towards me!!!!Also please ANSWER THE QUESTION. Any other information posted will be REPORTED if the question isnt answered and posted a random information!!!! How does the behaviour of other mammals change when they are ready to mate. When hydrogen sulfide gas is bubbled into a solution of sodium hydroxide, the reaction forms sodium sulfide and water. How many grams of sodium sulfide are formed of 2.68 g. of hydrogen sulfide is bubbled into a solution containing 0.0823 g. of sodium hydroxide, assuming that the limiting reagent is completely consumed what should people do to save water In your opinion, what is the theme or central idea of this text? Explain how the characters, setting, and plot contribute to this overall idea. In explaining your claim, include a summary of the text that supports your answer. Fill in the blanks (dilution) One of the images that runs throughout The Tragedy of Macbeth is that ofa.ships at sea.c.brotherly love.b.battle armor.d.blood.Please select the best answer from the choices providedABCD The running back for the Bulldogs football team carried the ball 7 times for a total loss of 8 3/4 yards. Findthe average change in field position on each run. Enter the average change as a simplified mixed number.The average change in field position on each run wasyards. The process of dna replication is called semi conservative because it results in what's the common name for hydrogen oxide An earthquake with a rating of 6.5 isconsidered a major earthquake that cancause damage over a large area.