In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(x) = x+5/3 to determine if f(x) and g(x) are inverses of each other

Answers

Answer 1

Answer:

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.


Related Questions

HELP ME

solve for x
2x+9<2(x+5)

Answers

I believe it would be X=All real numbers and in interval notation it would be (-infinity,infinity)
All real numbers. The interval notation would be (-infinity, infinity)

3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1

Answers

3-4=-7m+m+2m+5m
-1=m
Answer:
m=-1
-5m + 3 - 2m = -7m + 4 + m
-5m -2m +7m -m = -3 +4
-m = 1
m = 1

Use the ratio table given in the image attached to solve this problem.


Lacy usually feeds 20 puppies at the shelter. How many ounces of food would 20 puppies need? (image attached)

Answers

Answer:

560

Step-by-step explanation:

140 ÷ 5 = 28

28 x 20 = 560

please mark me as brainliest and correct me if im wrong

You could either use the propotional method or unitary method, but I am going to be using the porpotional method since it is more quick.

Step 1

So first we would convert  the numbers givin into a fraction by putting 5 over 140 and 20 over x which is the question mark.

Step 2

Then we would cross multiply, so multiply numbers that are diagonal to each other .140 would multiply with 20 and 5 would multiply with x.

Step 3

After we multiply (we do not multiply 5 with anything so it is just 5)we would have the equation , x times 5=2800. Since  we need to isolate x we would take 5 and put it under 2800 so it would be 2800 divided by 5.

Step 4

After we divide 2800 by 5 we would have 560 which equals to x , making it the ounces needed to feed 20 animals at the shelter .

Summarise

To briefly explain this the way to find the answer would be 20x40 divided by 5.

Hope this helped :D

Could you please help me with this?

Answers

Answer:

Step-by-step explanation:

20, count the units he goes, each square in between the places he went to

One bag of peanuts costs $ 1.52. How many bags can you buy with $34.96?

Answers

you can buy 23 bags of peanuts with $34.96. hope this helps :)

What is the shape of the distribution shown below?

Choose 1 answer:
A) The distribution is symmetrical
B) The distribution is not symmetrical

[SCREENSHOT IS INCLUDED]

Answers

Answer:

The answer would be B if its reffering to the photo and A if its reffering to the scale.

It would be B. by looking at the graph in the photo you can most definitely tell that it is unsymmetrical

6th grade Geometry, please help it's due soon!

Answers

Answer:

1. ABO, 2. OCD

Step-by-step explanation:

Since they have the same degrees of angles.

EX: <OA, <BO, <CO, <DO.

(IF I AM NOT RIGHT OR I AM LOSING THE DETAIL WANTED, PLEASE LIST OUT IN THE COMMENT BELOW THE ANSWER AND I WILL CHANGE IT.)

: ) Just to make it look bolder.

OCD and OAB
since they use the same angles they are congruent

:))

which decimal is equivalent to 188/11
a.17.09
b.17.009
c.17.1709
d.17.17090

Answers

Answer:

17 .09 is the decimal equivalent to 188/11 .

I HOPE YOUR DAY GOES GREAT.

Answer:

188/ 11= 17.09

Step-by-step explanation:

(a) option is correct .

In two or more complete sentences, explain how to find the average rate of change of a function

Answers

You divide the change in the output value by the change in the input value.
only the beginning and ending data would be used to reveal average rate of change over the specified period of time. to find the average of change, divide the change in the output by the change in the input.

when given the value of a function at different points, calculate the average rate of change of a function for the interval between two values. calculate the difference between y2-y1 and x2-x1. then divide y/x to find the ratio.

Simplify
l3r-15l if r<5
SOLVE NOW PLEASE

Answers

Answer:

-3r + 15 ---> answer

Step-by-step explanation:

r < 5

You are going to multiply both sides with 3. The reason being is that 3 is a positive number and the equality sign will not change if you use +3.

3r < 15

Now, subtract 15 from both sides, you will get this:

3r < 15

-15   -15

-------------

3r — 15 < 0

Lastly, using the Modulus function, we are going to add a negative sign to the content of our previous step because it's already negative.

So, -3r + 15 is the final solution if r < 5 in the given equation of l3r-15l

Answer:

Step-by-step explanation:

3

Give three equivalent rates that describe the top speed of a tuna.
At top speeds, how much faster can a swordfish swim than a killer whale?
Which animal swims at a top speed of about 0.5 mile per minute? Explain how you found your answer.​

Answers

Answers:

35 much faster - Shark animal

Step-by-step explanation:

so

- a swordfish is 35 much faster than a killer whale because se have to take the maximum Speed of the killer whale away from the maximum Speed of the swordfish so is: 60-25= 35

- And the animal swims a top Speed of about 0.5 Mile for minute Is the Shark animal because: One hour has 60 minutes and of we do 30:60= 0.5 Miles for minute

i hope I had help you

EXUSE ME FOR MY BAD ENGLISH BUT I AM ITALIAN

35 much faster then a shark animals

Please help me with this :) (extra points)

Answers

Step-by-step explanation:

the total distance traveled would be 15

fr33 p0ints/ umm? please help me with this question

Answers

Last choice Bc -1.5 is x value so go right and -1 is y value that goes down Bc it’s negative
A because negative means moves to the right when it comes to x axis and when it comes to y axis you move down the amount of spaces. if positive on x axis move right and positive on y axis move up

A dozen more than a number minus twice the number

Answers

X•2+12 I’m not sure if that’s what you’re looking for though
(x + 12) - 2x. i think that’s it lol

help please i will give a brainist

Answers

Answer:

4 apples/ second

28800 apples in 2 hours

Step-by-step explanation:

20 apples / 5 seconds

Divide the top and bottom by 5

4 apples/ second

A few hours is 2 or 3

There are 3600 seconds in 1 hour

4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour

14400 apples/ hour

14400apples / hour * 2 hours

28800 apples in 2 hours

Answer:

4 apples per second; about 14400-43200 apples

Step-by-step explanation:

First, to find the unit rate, you need to divide the number of apples with the number of seconds...

20/5= 4 apples per second

Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...

(4)(3600) = 14400 apples

(4)(10800) = 43200 apples

And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)

Please help me! I will give brainly!

Answers

Answer:

Push-Ups: 15, 30, 45, 60, 75

Sit-Ups: 30, 60, 90, 120, 150

Step-by-step explanation:

Multiply the number of push-ups by 2 to find the number of sit-ups.

Answer: For the push ups fill them up with the numbers 45, 60, and 75/ For the sit-ups fill them up with 90, 120, and 150./ But I'm pretty confused to find the overall example would you try to explain a bit more.

Step-by-step explanation:

Give three equivalent rates that describe the top speed of a tuna.​

Answers

27 miles per hour 29 miles per hour and 32 miles per hour
27, 29, and 32 miles per hour

Express each of the following fractions as percentages
12/25
solution for class 7

Answers

Like we did in the previous problem, divide and multiply by 100:
12 / 25 = 0.48
As a percentage, we multiply by 10p;
0.48 *100 = 48

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Below, create a post, and in 3-5 complete sentences, explain how you would use a number line to solve the problem (-6) + 15.

Answers

Answer:

ok

Step-by-step explanation:

First you would put a circle on -6. Next you would count 15 spot away from the -6. Lastly you would mark the answer

It's would 15 I have this question

While the currency of the United States is dollars, the currency of England is pounds. When Robin visited London, she exchanged $225 for 150 pounds. What was the exchange rate of pounds to dollars in decimal form? Round your answer to the nearest hundredth

Answers

Answer:

0.67

Step-by-step explanation:

We have to find out the exchange rate for pounds to dollars

150 pounds divided by 225 dollars

We get 0.6(6) the 6 in parenthesis for the repeating number.

Since we round to the nearest hundred we get 0.67.

0.67 is the answer to the problem

Find the area of this parallelogram in square units. Each box on the grid represents 1 square unit.

Answers

Answer:

the answer is 16

Step-by-step explanation:

ILL MARK BRAINLIEST TO FIRST CORRECT ANSWER

Dave solved a quadratic equation. His work is shown below, with Step 111 missing.
What could Dave have written as the result from Step 111?
\begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned}
3
1

(x+4)
2

x+4
x=−16


=48
=±12
or x=8


Step 1
Step 2
Step 3


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)^2=48(
3
1

x+
3
4

)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice B)
B
\left(\dfrac{1}{3}x\right)^2+\left(\dfrac{4}{3}\right)^2=48(
3
1

x)
2
+(
3
4

)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, right parenthesis, squared, plus, left parenthesis, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice C)
C
(x+4)^2=144(x+4)
2
=144left parenthesis, x, plus, 4, right parenthesis, squared, equals, 144

(Choice D)
D
(x+4)^2=16(x+4)
2
=16

Answers

Answer:

C is the correct answer

Step-by-step explanation:

Dave solved a quadratic equation his work is shown below with step 111 missing

If f(x) = -3x - 2
find f(3)

Answers

if f(x) = -3x - 2
find f (3)

= f (-3)= 9

Help me Guess just help pleaseeeee

Answers

Answer:

A, C, and D are the answers

I’m pretty sure c but I’m not to sure

50 points pls help. question down below explaination is option but with if u want brainlist u know

Answers

Answer:

10/13, 2/3, 7/11, 3/5, 5/9

Step-by-step explanation:

5/9 , 7/11, 3/5, 2/3, 10/13

Changing to decimal form

.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769

The largest is 10/13

Then 2/3

Then 7/11

Then 3/5

The smallest is 5/9

Answer:

111

Step-by-step explanation:

111

Please help me! I will give brainly!

Asapppppp

Answers

Answer:

20

Step-by-step explanation:

I believe it's 20 because you multiply 20 . with 60 and 80 and it will give 1200 and 1800.

Answer:

It should be 20

Step-by-step explanation:

The question is asking multiply the serving by __ to find amount of pretzels.

Be careful what is the question is asking.

30*20=600

60*20=1200

90*20=1800

and continue on...

Pls give brainliest

help could u guys add an explanation on how u got the answer too? thanks!

Answers

Answer:

15

Step-by-step explanation:

f(x) = x^2+1

f(2) = 2^2+1 = 4+1 = 5

g(x) = 3x+1

g(3) = 3(3)+1 = 9+1 = 10

f(2)+g(3) = 5+10 =15

Answer:

15

Step-by-step explanation:

I'm just guessing though.

Qual o valor numérico do polinômio 3x+2y para x=3 e y=1?

Answers

el valor numérico sería 11. Si reemplaza x con 3, 3x3 = 9. Si reemplaza y con 2, sería 2x1 = 2. 9 + 2 = 11. (I’m sorry my Spanish is not that good)

A person riding in a elevator travels 240 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds?

A. y=8x; 8 feet
B. y=1/8x; 1.25 feet
C. y=8x; 80 feet
D. y=6x; 60 feet

Answers

The answer to this question is letter C

We can approach this by first finding the rate of feet per second traveled.

240(feet)/30(seconds)= 8 feet per second.

This answer resembles the slope for answer choice C.

To find the distance traveled in 10 seconds we do 10*8= 80 feet.

I hope this helps, please like and brainliest if correct, thank you!

Answer:

The answer to this question is letter C

We can approach this by first finding the rate of feet per second traveled.

240(feet)/30(seconds)= 8 feet per second.

This answer resembles the slope for answer choice C.

To find the distance traveled in 10 seconds we do 10*8= 80 feetStep-by-step explanation:

have a great day and good luck

The cylinder above has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder above? (Use 3.14 for .)

Answers

I did the work
H•R2•3.14
6•2= 12
15•12=180
180•3.14= 565.2
the formula is 2•3.14•R so you would do 2x3.14x6 which is 37.68. hope this helps!!
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