If f(x) = x-3/x and g(x) = 5x-4, what is the domain of (f•g)(x)?

If F(x) = X-3/x And G(x) = 5x-4, What Is The Domain Of (fg)(x)?

Answers

Answer 1

Answer: x cannot equal 4/5 (3rd choice)

Step-by-step explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)


Related Questions

HElppppppppppppPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

75 in^2

Step-by-step explanation:

two rectangles on the sides: 60 in^2

5x6 = 30

30x2 = 60

rectangle in the middle: 15in^2

5x3 = 15

altogether area: 75 in^2

60+15 = 75

Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 = ​

Answers

Answer:

37

Step-by-step explanation:

it just it

In situations where the employer and employee split the expense of a cell phone, should the employer be permitted to inspect the text messages?

Yes

No

Explain why you voted the way you did.

Answers

Answer:

Yes, because the employer purchased half the price of the cell phone. They can read the messages on their property.

Step-by-step explanation:

No, because employers are expected to give benefits to their employees so they choose to work for that company instead of another. It is still a private cellphone, it’s just like how if an employeer pays for your car or your insurance they can’t use those things themselves, they are choosing to give you those benefits to keep you working there.

A regular octagon has an apothem of approximately 4.0 cm and a perimeter of approximately 26.4 cm. Find the area of the octagon. ​

Answers

Answer:

[tex]52.8cm^{2}[/tex]

Step-by-step explanation:

Perimeter = 26.4 cm

Apothem = 4.0 cm

The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]

when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]

gradpoint, help me please yall :(

Answers

Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.

Does 5, 7, and 9 make a right angle?

Answers

No

Step-by-step explanation:

For a triangle to have a right angle the square sums of the legs have to equal the square of the hypotenuse.

In this case 9 is the hypotenuse which is the longest side in a triangle. 5 and 7 are the two smaller sides which make them the legs.

Putting this set of numbers into the pythagorean theorem is the way to solve this.

5²+7² should equal 9² if the triangle is a right triangle.

Solve the squares: 25+49=81

This would add up to be 74 and that is not equal to 81, so by this statement we can conclude that 5, 7, and 9 do not make a right triangle.

What is the value of the rational expression when x = 2?

Answers

Answer:

4

Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.

What do we do to both sides of this equation to solve?

x−10=8
Question 2 options:

Subtract 10 from both sides


Add 10 to both sides


Multiply both sides by 10


Divide both sides by 10

Answers

Add 10 to both sides

Step-by-step explanation:

x-10 = 8

x - 10 + 10 = 8+ 10

x = 18

Step-by-step explanation:

Add 10 to both sides

or,x-10+10=8+10

or,x=18


Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start


It needs to be written as an equation

Answers

Answer:

16.79 - 8.54= ? so the answer is 8.25

Step-by-step explanation:

~Hope this helps you~

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

Range of x:  [tex]0\leq x < 12[/tex]    or    [tex]0\leq x\leq 11[/tex]

Largest possible value of [tex]x[/tex] is 19

Mean mark = 11.41 (nearest hundredth)

Step-by-step explanation:

The mode is the number that appears the most, so if the mode is 10, [tex]x[/tex] has to be smaller than 10.

We can say this in two ways:

[tex]0\leq x < 12[/tex]    or    [tex]0\leq x\leq 11[/tex]
since the number of points and players are positive integers.

The median is the middle value when the values in the data set are placed in order from smallest to largest.

If 10 is the median mark, to find the maximum number of 15s, sum the number of players scoring 5 and 10 points and subtract 1:

8 + 11 = 19

Therefore, the largest possible value of [tex]x[/tex] is 19.

The mean is the total of the numbers divided by how many numbers there are.  

To find the total marks, multiply the number of points by the number of players, and sum (using x = 19):

[tex]\textsf{Total points}=5 \times 8+10\times12+15 \times 19=445[/tex]

Total number of players = 8 + 12 + 19 = 39

[tex]\textsf{mean mark}=\dfrac{445}{39}=11.41\:\textsf{(nearest hundredth)}[/tex]

A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.

What percent of the 8th graders estimated they spend more than an hour a day on social media? Round your answer to the nearest whole number percent.

Answers

43

so sorry if this is incorrect.

The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.

       more   less

7th    12        14

8th    20      26

To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.

20 students out of 46 students (20+26) answered "more" which is about 43.48%

Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

Learn more about the percentages here:

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“Find 24% of $240.”

I keep trying and getting a different answer each time, please help

Answers

Answer:

$57.60

Step-by-step explanation:

The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.

(0.24)

Multiply that decimal by the number you want to find the percentage of

$240 * .24 = $57.60

$240 is the 100%
X Is the 24%
So (24x240)/100
5760/100 = $57.60
Or you can just do 240x0.24=$57.60
24% is the same as 0.24
And 100% is the same as 1

Consider the first six terms of this sequence: 3,6,12,24,48,96,.......... What would be the sum of the first 19 terms of this sequence? *
393,216
786,429
1,572,861
1,162,261,467​

Answers

Answer:

1,572,861 is the answer please

can you please tell me which one it is and why. thank you​

Answers

Answer

its A the answer is on quizzes  

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

rational numbers do not have unending numbers trailing it

ex: 1, 1/4 13/2

irrational numbers do not end

(pi, square root of 2)

necesito saber como se resuelve esto (:

Answers

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

Each face of a cube has an area of 4 square units. What is the volume of the cube?

Answers

If each face has an area of 4 than the side lengths are 2, because area is b•h and 2•2 is 4. Now, volume is length•width•height. All of these will be two because sides are the same in a cube. 2•2•2 is 8, which is your answer

Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.

The given information states that each face of the cube has an area of 4 square units.

Since a cube has 6 faces, this means that the total surface area of the cube is:

Total Surface Area = 6 * 4 square units = 24 square units

Now, let's relate the surface area of the cube to its volume:

For a cube, the surface area (S) and the volume (V) are related by the formula:

S = 6s²

Where "s" is the length of each side of the cube. In this case, we have:

S = 24 square units

Substitute this into the formula:

24 = 6s²

Now, solve for "s":

s² = 24 / 6

s² = 4

Take the square root of both sides:

s = √4

s = 2

So, each side of the cube is 2 units long.

Now, to find the volume of the cube, you can use the formula for the volume of a cube:

V = s³

Substitute the value of "s":

V = 2³

V = 8 cubic units

Therefore, the volume of the cube is 8 cubic units.

To learn more on volume click :

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What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5 x)?

Answers

Answer:

x=2

Step-by-step explanation:

You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2

Answer:

x=2

Step-by-step explanation:

Distribute the 2.5 and 4 out

15x - 10 = 10 + 6 +2x

Add the constant variables together

15x - 10 = 16 +2x

Move the x on one side and the constant on the other

13x = 26

Divide both sides to find x

x=2

The diameter of a circle is 8 inches. What is the and
with area 24 square inches?

Answers

given:

8 inches

to find:

the area

solution:

If the diameter is 8 inches, the radius is 4 inches.

a= Pi* r^2

= 16 Pi square inches.

pi= 3.14159 16pi

= 15.2655 sq inch

Please help, I am struggling with this. Question is in image.​

Answers

Answer:

-7 15/17. 49 sq. 7.7 187/24

Step-by-step explanation:

thats the order least to greatest 187/24= 7.79 and 49 sq = 7

number 2022 is not a perfect square give reasons​

Answers

Answer:

No

Step-by-step explanation:

It is not factorial of any number.

math sceenshot answer math problem

Answers

Answer:

the total amount owed for the car is $7500

Step-by-step explanation:

5% of $6000 is ($6000×5)÷100= $300

so $300×5= $1500

now the 5 yrs interest auditioned to the $6000 loan equals $7500.

($300×5)+$6000= $7500

(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.

Answers

Answer:

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Step-by-step explanation:

distance between points is diameter

x^2=  (8--4)^2+(-7-9)^2

x^2=12^2+16^2

x^2=144+256

x^2=400

diameter x=20 so radius =10

center point =midpoint (-4+8)/2 and (-7+9)/2

center point =(2,1)

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Can you guys tell me what 6!/3!

Answers

[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]

Answer:

[tex]\boxed{\sf{120}}[/tex]

Step-by-step explanation:

Use the factorials formula.

Factorials formula:

[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]

→ 6!/3!=6*5*4

⇒ 6*5*4

Solve a order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

First, multiply.

→ 6*5*4

⇒ 6*5=30

⇒ 30*4=120

= 120

Therefore, the correct answer is 120.

I hope this helps you! Let me know if my answer is wrong or not.

You find another case with a sale price of $4.68 after a 40% discount. What is the original price of the case?

Answers

Answer:

11.7

Step-by-step explanation:

Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.

11.7 is the original price.

Brainliest please?

i’m not sure how to do this any help would be great

Answers

Answer:

785.4cm^3

Step-by-step explanation:

(10÷2)^2*π=25π

25π*10=250π≈785.4

SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile

Answers

Answer:

The answer is 33.75 per hour

Step-by-step explanation:

Divide 135 by 4

A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters."/>

Answers

Answer:

u got this bro come on

x28

2=x^2-10x solve by completing the square

Answers

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

A salesperson earns 7.5% commission on each vehicle sold. What price
must he sell a vehicle for in order to earn a commission of at least $3,000?

Answers

hey there! I’m just going to write out how I would solve this.

3,000=7.5%⋅x
100/7.5=13 1/3
3,000⋅13 1/3=x
x=$40,000

The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for, and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

Answer:

V = 1046.9

Step-by-step explanation:

The equation for volume is (4/3)pi r^3

substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3

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