Devy likes to learn! Could someone please tell me how to answer this question?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).

On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).

On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).

On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Recall that if two functions, f and g, are inverses, then by definition:

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

Hence, the graph of f(g(x)) should be simply y = x.

Therefore, our answer is B, as both coordinates are equivalent for all three points.


Related Questions

A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s(t)=224t−16t. After how many seconds will the ball be 720 feet from the​ ground?

Answers

Answer:

s= 16t^2+128t, answer.......

Translate this phrase into an algebraic expression.
61 less than twice Jenny's age
Use the variable j to represent Jenny's age.

Answers

ANSWER: 2j-61
j = Jenny's age

5 Cece draws these two figures to prove there is more
than one parallelogram with a 40° angle between a
2-cm side and a 6-cm side. Is Cece correct? Explain.
2 cm
40
4.
2 cm

Answers

Answer:

chash greatly ta 45uerywryrsyrsyrs

What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y

Answers

y=mx+b is the general formula of linear equation

y=-2x+5+3x+2

y=1x+7

m=1

b=7

Linear equation given in the question is,

2 + 3x + 5 - 2x = y

To simplify this equation further,

Add like terms of the equation,

        (2 + 5) + (3x - 2x) = y

         7 + x = y

Now compare this linear equation with the slope-intercept form of the linear equation,

y = mx + b

Here, m = slope of the line'

b = y-intercept

By comparing the equations,

m = 1

b = 7

Learn more,

https://brainly.com/question/15253236

3C - 2/7 -5c-8/4=1/14​

Answers

This is my answer for high school students

please help me i have a couple mins

Answers

Answer:

x + 3

Step-by-step explanation:

Because he bought an unknown number of soccer balls that is where we use the variable, x. And we know that he bought 3 baseballs, and we add them both to get the total number of things bought. Hope this helped and you could give brainliest :)

A boat can travel 21 miles on 7 gallons of gasoline. How far can it travel on 17 gallons?

Answers

Answer:

51 miles

Step-by-step explanation:

Boat with 7 gallons of gas = 21 miles

Boat with 1 gallon of gas = 21/7 = 3 miles

Boat with 17 gallons of gas = 17 x 3 = 51 miles

Answer:

51 miles

Step-by-step explanation:

1 gallon = 3 miles

17 gallons = ? miles

17 * 3 = 51 miles

Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY

Answers

Answer:

the answer for y is 9 and x is 9✔2( the check is square root symbol)

Write six hundred twelve thousand, three hundred in the place-value chart. Then write the number in expanded

Answers

Answer:

612,300

600,000

10,000

2,000

300

00

0

ACD = 30, Line segment AC = x + 1, Line segment CD = 2x + 2. What is x equal to? x =

Answers

Answer:

AC+ CD = ACD

X+1 + 2X + 2 = 30

3X+3 =30

3X=30–3

3X=27

X= 27/ 3

X= 9

I'm not sure of the solution, but I solved it according to a straight line (Line segment) .

I hope I helped you^_^

In the figure alongside, show that angle(a+b+c+d) = 4 right angles​

Answers

Answer:

Proved

Step-by-step explanation:

a=180-x

c=a= 180-x

d=180-a = 180-(180-x) =x

b=d=x

adding every angle;

a+b+c+d= 180-x + x + 180-x + x

a+b+c+d = 180+180 = 360

a+b+c+d = 4 *90

The sum of the interior of the quadilateral is equal to 4 right angles.

The point where two lines meet is known as an angle

The given figure is a quadrilateral.

For the quadrilateral

The sum of opposite angles is 180degreesThe sum of all the interior angles is 360degrees

According to the theorem;

a  + c = 180 ...... 1

b + d = 180 ...... 2

Add both equations

a + b + c + d = 180 + 180

a + b + c + d = 360

Note that 1 right angle = 90degrees

4 right angles = 4(90) = 360 degrees

Therefore a + b + c + d = 4 right angles (Proved)

Learn more here: https://brainly.com/question/19546787

Rectangle TUVW is dilated by a scale factor of 3
3 to form rectangle T'U'V'W'. Side U'V' measures 93
93. What is the measure of side UV?

Answers

Answer:

31

Step-by-step explanation:

93/3=31

So UV is equal to 31

Answer:

31

Step-by-step explanation:

you decide to go to technical school for 2 years to get a degreee in computer networking. it takes you 8 quarters to complete the program abd it costs $830 per quarter for tuition in addition to books for the programs that cost 1800 how much will is cost you to get your degree
whats the answer ​

Answers

9514 1404 393

Answer:

  $8440

Step-by-step explanation:

8 quarters at $830 per quarter is 8×$830 = $6640.

When the cost of books is added, the total is ...

  $6640 +1800 = $8440

A store is advertising a new DVD player for $189.00. If the sales tax rate is 7.25 percent,

Answers

Answer:

then what's the question???..

40pts and a brainliest to the person who can help me with this stock problem. PLEASE show all steps in detail so I can learn how to do this!

What is the rate of return when 20 shares of Stock A, purchased for $30/share, are sold for $710? The commission on the sale is $6. Give your answer as a percent rounded to the nearest tenth.​

Answers

Answer:

Rate of Return is 14.8%

Step-by-step explanation:

We know that 20 shares of Stock are purchased for $30 per share.

This gives us a total value of: 20 × 30 = $600.

Now, the shares are sold for $710 with a commission sale of $6. This means the final money going to the seller is; 710 – 6 = $704.

Thus, the rate of return percentage is = (704 – 600)/704) × 100% = 14.7727%

To the nearest tenth gives us 14.8%

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!

Find the 5th term for the following recursive formulas/sequences. SHOW YOUR WORK!!

c. 1/6, 2/3, 8/3, . . .

Answers

Answer:

128/3

Step-by-step explanation:

The sequence follow the rule (1/6)*(4)^(n-1). The 5th term will be (1/6)*(4)^4=128/3

Answer:

128/3

Step-by-step explanation:

1/6, 2/3, 8/3, . . .

1/6, 4/6, 16/6

We are multiplying by 4 each time

1/6 *4 = 4/6

4/6 * 4 = 16/6

This is a geometric sequence with the common ratio of 4

an = a1 (r)^(n-1)

an = 1/6 (4) ^(n-1)

Let n = 5

a5 = 1/6 (4)^(5-1)

a5 = 1/6 (4)^4

a5 = 1/6 * 256

a5 =128/3

explain develop spirit of hard work​

Answers

developing spirit of hard work means to understand the definition and beliefs of hard work, as it teaches us discipline, dedication, and determination. Ways to motivate yourself to work harder is to breakup your tasks into smaller tasks so you can see where your obstacles are, and you can be prepared to overcome them. Also by staying focused, positive, and reminding yourself why you are doing the work in the first place.

Hope that helps :)

Bond A is zero-coupon bond paying $100 one year from now. Bond B is a zero-coupon bond paying $100 two years from now. Bond C is a 10% coupon bond that pays $10 one year from now and $10 plus the $100 principal two years from now. The yield to maturity on bond A is 10%, and the price of bond B is $84.18. Assuming annual compounding, what is the price of Bond A?

Answers

Answer:

c

Step-by-step explanation:

Drag each tile to the correct box.
Match each expression with its greatest common factor.

Answers

Answer:

Step-by-step explanation:

(2+1/2) (2^2-1+1/4) find the expression in the form of cubes and differences of two terms.​

Answers

Answer:

Consider the following identity:

a³ - b³ = (a + b)(a² - ab + b²)

Let a = 2, b = 1/2

(2 + 1/2)(2² - 2*1/2 + 1/2²) = 2³ - (1/2)³ =8 - 1/8

Use the algebraic identity given below

[tex]\boxed{\sf a^3-b^3=(a+b)(a^2-ab+b^2)}[/tex]

[tex]\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-1+\dfrac{1}{4})[/tex]

[tex]\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-2\times \dfrac{1}{2}+\dfrac{1}{2}^2)[/tex]

Here a =2 and b=1/2

[tex]\\ \sf\longmapsto 2^3-\dfrac{1}{2}^3[/tex]

[tex]\\ \sf\longmapsto 8-\dfrac{1}{8}[/tex]

Does the point (7,34) satisfy the equation y = 2x + 8

Answers

Answer:

no

Step-by-step explanation:

Substitute the point into the equation and see if it is true

34 = 2(7) +8

34 = 14+8

34 = 22

Since this is not true, the point does not satisfy the equation

Answer:

No

Step-by-step explanation:

because 7 is X and 34 is Y

So its 2 *7 +8=22

so no

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Square root x + 6 - 4 = x

Answers

Answer:

-2,  (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

. Find the domain and range of y=(3-x)2

-8.​

Answers

Domain : ( – ∞ ,  ∞ ) , {x/x ∈ R }

Range : [ 0 ,  ∞ ) , { y/y ⩾ 0 }

I hope I helped you^_^

Write an explicit formula for the sequence.
-4,7,-10,13,-16

Answers

Step-by-step explanation:

Sequence is

4

,

7

,

10

,

13

,

16

,

.

.

.

a

1

=

4

,

a

2

=

7

,

a

3

=

10

,

.

.

.

If it is Arithmetic sequence,

a

2

a

1

=

a

3

a

2

=

a

4

a

3

& so on

In the given sum,

a

2

a

1

=

7

4

=

3

a

3

a

2

=

10

7

=

3

a

4

a

3

=

13

10

=

3

Since the difference between the successive terms is same and

hence

common difference

d

=

3

Put the steps for deriving the formula for the arc length of a circle in the correct
order.

Answers

Just look it up that’s what I do

find the length of the arc. round your answer to nearest tenth

Answers

41.9 mi

Step-by-step explanation:

First, we convert the angle from degree measure to radian measure:

[tex]\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}[/tex]

Using the definition of an arc length [tex]s[/tex]

[tex]s = r\theta[/tex]

[tex]\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)[/tex]

[tex]\:\:\:\:= 41.9\:\text{mi}[/tex]

f(x) = 2x3 + 7x2 – 4x – 5
g(x) = 3x – 2
Find (f - g)(x).
A. (f - g)(x) = 2x3 + 7x2 – 2 – 3
O B. (f – g)(x) = 2x3 + 7x2 – 2 – 7
O C. (f - g)(x) = 2x3 + 7m2 – 72 – 3
O D. (f - g)(x) = 2x3 + 7x2 – 73 – 7

Answers

Answer:

A. 6

B. 2

C. 8

D. 3

all the answers to the previous questions

D.) = 3

The value of the function (f -g)(x) will be 2x^3 + 7x^2 - 7x - 3

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable, Linear function is a function whose graph is a straight line

We are given that the function as;

[tex]f(x) = 2x^3 + 7x^2 - 4x - 5[/tex]

[tex]g(x) = 3x - 2[/tex]

We need to find the function as (f - g)(x)

(f -g)(x) = f(x) -g(x)

(f -g)(x) = 2x^3 + 7x^2 - 4x - 5 - 3x + 2

(f -g)(x) = 2x^3 + 7x^2 - 7x - 3

Therefore, the correct option is C 2x^3 + 7x^2 - 7x - 3

Learn more about function here:

https://brainly.com/question/2253924

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9) Given a circle with radius = 6 meters, a central angle of 77 degrees will intercept an arc of what length?

Please show all work

Answers

Hey there!

If our central angle is 77, our arc on the outside that it intercepts is going to be 77/360 of the total circumference of the arc. This is because a full circle angle is 360 degrees, so if our central angle was 360, we would just find the circumference of the circle as the arc would be the entire circle.

In our case, we will just find the circumference and then multiply it by 77/360 to find our arc length as we are just looking for a fraction of our total circle.

Circumference is 2πr, so we have 2π(6)≈37.68

Now we multiply this by 77/360.

37.68×77/360≈ 8.06

So now, if you have a radius r and a central angle x, you can use the formula x/360 ×2πr to find the arc length.

Have a wonderful day! :D

Which Expression is equivalent to 3(x + 6)
18x
3x + 2
3x + 18​

Answers

Answer:

3x+18

Step-by-step explanation:

since 3 is outside the bracket you need to multiply 3 by both x and 6. so 3 multiply x is 3x and 3 multiply 6 is 18, hence 3x+18

Execute the following 18/3+2*8-5.

Answers

I got 17 as my answer
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