PLEASE HELP Review the equation, then complete the following. f(x)=1/x-4, g(x)=4x+1/x ​Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.

Answers

Answer 1

Answer:A. Yes, they are inverse of each other.

B. Domain and range of the compositions is .

Step-by-step explanation:

A. We have,  and .

Now, 'when two functions f and g are inverses of each other, they satisfy the property '.

So, we have,

 

Thus, we get for the given function f and g, .

Hence, they are inverse of each other.

B. Now, as we have,

That is, the composition of the functions is equal to the identity function.

Thus, the domain and range are the set of all real numbers respectively.

So, in the interval notation, we have,

Domain and range of the compositions is .

PLEASE HELP Review The Equation, Then Complete The Following. F(x)=1/x-4, G(x)=4x+1/x Use Composition
PLEASE HELP Review The Equation, Then Complete The Following. F(x)=1/x-4, G(x)=4x+1/x Use Composition

Related Questions

This side of square S is twice the diameter of circle C what is the greatest possible number of points of intersection of perimeter of square S and the circumference of circle C

Answers

Answer:

2

Step-by-step explanation:

C is too small to have more.

Caroline bought movie tickets for three Children and a bucket of popcorn for $9.50. If she spent a total of $35.75, how much was each movie ticket?

Answers

Answer:

$8.08

Step-by-step explanation:

First subtract 9.50 from 35.75 to get

24.25

Then divide 24.25 by 3 to get

Approx $8.08

Find the slope and y-intercept from the following graph of a linear equation.

Answers

Answer:

The slope is 4x and the y intercept is 3

Hope this helps. :)

Answer:

a

Step-by-step explanation:

mark me brainiest

and look up slope calculator and use omni calculator

Does anyone know the answer you have to pick the correct answer because there's two options you have to pick the correct equation

Answers

Answer:

y = -5x + 50

Step-by-step explanation:

if it the x value has a negative symbol then the slope goes down (Left to right) if the x value doesn't then the slope goes up (Left to Right)

Find the volume of the composite solid. Round to the nearest tenth.
3 cm
6 cm
2 cm

Answers

Answer:

36 cm

Step-by-step explanation:

3 cm times 6 cm = 18cm

18 cm times the height (2 cm) = 36 cm

So, the answer is 36 cm for the volume.

Liang's solution of a system of linear equations is shown. Explain her error. 3x − 2y = 12 −x − 2y = −20 2x + 0 = −8 x = −4 −(−4) − 2y = −20 4 − 2y = −20 − 2y = −24 y = 12 Enter the solution as an ordered pair. (−4, 12) Complete the explanation for Liang's error and give the correct solution. Liang (select) the two equations, but (select) the y−terms. The equations should be (select) . The solution is .

Answers

Step-by-step explanation:

bro what kind of class got u doing these math equations

Triangles ABC and DEF are similar find d

Answers

Answer:

A=D where is picture . it is required

help me please don't understand (see picture)

Answers

Answer:

< F would be 140 degrees

Step-by-step explanation:

So what you would do is that since they told you angle D is 40 degrees and you know that the 2 lines in there are parallel, and since they are asking for angle F, whne you add angle F and angle H they should equal 180 degrees which you know so you just subtract 40 degrees from 180 and you  get 140 degrees which if angle F and you can subtract 40 since angle H and angle D would be congruent.

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

Answers

Where is the graph?

Parker simplified the expression y2-5 (y+y2+8y+16/y+4)-12 as shown below. Which statement best describes Parker's error?

Answers

Answer:

he distributed -5 incorrectly

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

fractions equivalent to - 9/16

Answers

Answer:

Equivalent Fractions for 9/16: There are infinity equivalent fractions to 916. See some examples: 916, 1832, 2748, 3664, 4580, 5496, 63112, 72128, 81144, 90160, 99176, 108192, 117208, 126224, 135240, 144256, 153272, 162288, 171304

Step-by-step explanation:

NOT my answer, got it from g0ogle..

Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.

Answers

Answer:

Arnie has enough red paint

Step-by-step explanation:

step 1

Find out the number of ounces of red paint needed to make 3 cups of dark orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of dark orange

we know that

\frac{x}{z}=\frac{7}{1}\ \frac{ounces\ red\ paint}{cups\ dark\ orange}

z

x

=

1

7

cups dark orange

ounces red paint

so

For z=3 cups

substitute and solve for x

\frac{x}{3}=\frac{7}{1}

3

x

=

1

7

x=21\ ounces\ of\ red\ paintx=21 ounces of red paint

step 2

Find out the number of ounces of red paint needed to make 3 cups of light orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of light orange

we know that

\frac{x}{z}=\frac{3}{2}\ \frac{ounces\ red\ paint}{cups\ light\ orange}

z

x

=

2

3

cups light orange

ounces red paint

so

For z=3 cups

substitute and solve for x

\frac{x}{3}=\frac{3}{2}

3

x

=

2

3

x=4.5\ ounces\ of\ red\ paintx=4.5 ounces of red paint

step 3

Adds the ounces of red paint

21+4.5=25.5\ ounces\ of\ red\ paint21+4.5=25.5 ounces of red paint

25.5\ ounces < 32\ ounces25.5 ounces<32 ounces

therefore

Arnie has enough red paint

5x+y=2
Solve for y my teacher said to write the answer in this form y=-5x+2 because it goes with y=mx+b can it be written like that?

Answers

Y=2-5x hope this is correct

Answer:yes it can be written like that.

Step-by-step explanation:

What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?

Answers

Answer:

multiplication...

Step-by-step explanation:

50 x 12 = 600

SO...

j = 600

SOO...

600 / 12 = 50

there u go

can i be brainiest...

Multiplication should be the correct answer

PLEASE HELP ME. I WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

c) [tex]h(t)=-16(t-1.5)^{2}+676[/tex]

Step-by-step explanation:

Each of the given equations is written in vertex form. This means that the vertex is written in the equation. The quadratic term (the term to the second degree), contains (x), and a value that is either added or subtracted to it. The additive inverse (meaning a number times negative one) of that number is the x-coordinate of the vertex. Therefore, the term inside the parenthesis is (-1.5). The constant is the y-coordinate of the vertex, and therefore it is 676. Since the object is being thrown off a cliff, gravity acts on it. The gravitational constant in feet per second is (-16), hence the coefficient of the quadratic term is (-16).

THE QUESTION IS ABOVE​

Answers

Answer:

The box would be 14

Step-by-step explanation:

It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.

Answer:

7/14

Step-by-step explanation:

Have a nice day.....

12 1/2 − 9 1/4
This problem comes from subtract mixed numbers
5 3/4 - 2 5/12
7 1/5 - 3 7/10
11 2/3 - 8 1/2

Answers

To convert a mixed number to an improper fraction, multiply the denominator by the whole number out front, then add the numerator. Keep the denominator. For example:

12 1/2 = 2 * 12 + 1 = 25/2
9 1/4 = 4 * 9 + 1 = 37/4

Multiply 25/2 by 2/2 to have a common denominator:
25/2 * 2/2 = 50/4

50/4 - 37/4 = 13/4 or 4 1/3

Aylin went to the store to buy some new folders for school . She bought a total of 7 folders and spent a total of $12. She bought two different types of folders. Plain folders that cost $1 each and folders with cartoons that cost $2 each. How many did each type of folder did Aylin buy?

Answers

Answer:

2 plain folders and 7 folders with cartoons

Step-by-step explanation:

Given data

Let the number of plain folders be x

and the number of folders with cartoons  be y

x+y=7------------1

x+2y=12----------2

from 1

x= 7-y

put this in 2

7-y+2y=12

7+y= 12

y= 12-7

y=5

Put y=5 in 1

x+5= 7

x= 7-5

x= 2

Hence Ayin bought 2 plain folders and 7 folders with cartoons

Someone help me please

Answers

Answer: Blue is longer

Step-by-step explanation: Blue islonger because it  strtches a

corss more than 3 it almost reaches 4 ( no it is 4 dots long )

It takes 12 people 5days to complete a job. Work out how many days it would take 3 people to complete the same job

Answers

Answer:

1.25 days

Step-by-step explanation:

12/5 x 3/x [cross multiply]

12x = 15

x = 1.25 days

5 divided by 3 = 1.6 recurring
now multiply 12 by 1.6 which is 19.2
19.2 days rounds up to 20

The answer should be 20 days

Determine the slope & y intercept for the line shown. Then write the equation of the line. If you hurry I’ll mark you brainliest

Answers

Answer:

y = -3/7x + 1

Step-by-step explanation:

from the first point to the second point it goes down 3 and right 7 so this is your slope

the y intercept is 1

I NEED HELP NOW PLEASE
What is the slope of the line?

Answers

Answer: Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

Step-by-step explanation:

Answer:

slope = [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-3)}{3-(-1)}[/tex] = [tex]\frac{4+3}{3+1}[/tex] = [tex]\frac{7}{4}[/tex]

If 5 boxes of girl scout cookies cost $20, how many boxes of girl scout cookies can I buy for $36?

Answers

You can buy 9 boxes of Girl Scout cookies

Answer:

9

Step-by-step explanation:

20 / 5 = 4  36 / 4 = 9

Simplify the expression:
(14 - 3a) + (5a+4)
show work if u can

Answers

Answer:

(2a + 18)

Step-by-step explanation:

Rearrange Terms

(14−3)+(5+4)

(−3+14)+(5+4)

Eliminate the brackets

(−3+14)+(5+4)

−3+14+5+4

Add the numbers

−3+14+5+4

−3+18+5

Combine like terms

−3+18+5

= 2+18

Can someone me out plz

Answers

Answer:

I think it's B

Step-by-step explanation:

hopes this helps


Solve each problem. Explain or show your reasoning.
What is 25% of 160?
What is 39% of 200?
What is 150% of 32?
13 is 50% of what number?
18 is 120% of what number?
21 is what percentage of 30?
I NEED HELP

Answers

1: 40 2: 78 3: 48 4: 26 5: 15 6: 70

Round your answer to the nearest hundredth.
-1.7f - 26 = 34

Answers

F=-35.29
Add 26 to both sides. -1.7=34+26
Simply 34+26=60 -1.7f=60
Divide both sides by -1.7 f=-60/1.7
Simply-60/1.7 to get -35.294118 then round to nearest hundredth to get F=-35.29
Hope That helps!!!

The Pep Club sold $125 worth of candy at Friday's night game. if they receive a commission of 40% of their candy sales, how much did they make?

Answers

Answer:

50$

Step-by-step explanation:

Answer:

$175

Step-by-step explanation:

If by commission you mean the money they add to the candy bars revenue then the formula for that would be 125 * 1.4 = x. x = 175.

Evaluate x + 23
when x=7

Answers

Answer:

30

Step-by-step explanation:

x + 23 = ?

x = 7

All we need to do is plug in x =7 to the first equation:

7 + 23 = ?

We simplify and get:

30 = ?

what does 3x+8+9x^2 equal?

Answers

Answer:

Stays the same. OR Standard form: 9x^2+3x+8

Step-by-step explanation:

You can't factor it. When you add them it's the same bc, you can't combine anymore like terms. let me know if this helps at all? What is your objective? Tryna factor? Add polynomials? ???

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