Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}
Answers
Given:
The different functions in the form of set of ordered pairs.
To find:
The function which has an inverse that is also a function.
Solution:
A relation is a function if there exists unique y-value for each x-value.
We know that the inverse transformation is defined as:
[tex](x,y)\to (y,x)[/tex]
So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.
In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.
In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.
In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.
In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.
Therefore, the correct option is A.
Related Questions
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Answers
Step-by-step explanation:
[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]
Conner Solved 2 math problems in 5 minutes. Atthis rate, how long will it take Conner to solve 10 math problems?
Answers
Answer:
25 minutes Will take him to complete the problem if the rate is same
Answer:
25 minutes
Step-by-step explanation:
Divide 10 by 2 and get 5.
Multiply 5 by 5 and get 25.
Pls notify me if my answer is incorrect, for the other users that will see this response.
-kiniwih426
2.
a) Expand: a² - b²
Answers
Answer:
Step-by-step explanation:
a^2-b^2
(a-b)(a+b)
Answer:
[tex](a-b)(a+b)[/tex]
Step-by-step explanation:
This particular pattern: [tex]a^2-b^2[/tex]; is the difference of squares pattern.
Difference of Squares Pattern: [tex](a-b)(a+b)=a^2-b^2[/tex]
There are other square of binomial patterns (though the difference of squares pattern isn't really a square of binomial, I learned these three at the same time)
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](a-b)^2=a^2-2ab+b^2[/tex]
The cost of a ticket increases by 10% to£18.15
Work out the original cost
Answers
Let the original price = x
An increase of 10 % = 18.15
Multiply x by (1 + percent increase) which is 1.1x = 18.15
Now to find x divide both sides by 1.1:
X = 16.50
The original price was 16.50
Answer:
£16.50
Step-by-step explanation:
Let cost price be x
Now, create a formula:
x + 10x / 100 = 18.15
'or'
110x / 100 = 18.15
'or'
x = (18.15*100) / 110
x = 16.5
Name the labelled points between A and C B and D B and E E and A
Answers
In the triangle above a = 12 and c = 26. Find the value of b to the nearest hundredth.
Answers
My sister is 18 years old. My brother says that his age multiplied by 3, less 12 is equal to my sister's age. How old is my brother?
Answers
Answer:
10
Step-by-step explanation:
10 x 3 = 30
30 - 12 = 18
9 x 2 = 18
round the nearest whole number
Answers
Answer:
234.5678
Step-by-step explanation:
When rounding to the nearest whole number if the first number after the decimal point if it is 5 it stays the same, if it is less than 5 ; 1,2,3,4 you round down, larger than 5; 6,7,8,9 you round up.
Answer:
29
Step-by-step explanation:
if u put 234.56 divided by 8 into a calculator, you get 29.32
f(x) = xWhat is g(x)?
Answers
Answer:
D.
Step-by-step explanation:
I don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Answer:
compressibility, particle motion, shape
Step-by-step explanation:
just took it
Louis bought 16 cookies at the bakery. He had a
coupon for $7 off his entire purchase. He ended up
paying $13.32. Write an equation to find how much
each cookie originally cost.
16c-[?] = []
Answers
Answer:
16c - 7 = 13.32
Step-by-step explanation:
The cost of 16 cookies minus the coupon equal how much he paid
16c - 7 = 13.32
Answer:
16c - 7 = 13.32
Step-by-step explanation:
Given the following information, determine which lines are parallel and what justifies them being parallel.
Answers
Answers:
Blank 1 = p and q
Blank 2 = Consecutive interior angles converse
=================================================
Explanation:
There's a lot of visual noise here, meaning there's a lot of lines and angles to potentially distract. I recommend redrawing things but only drawing lines p and q, and the transversal cut line t. Furthermore, I would mark only angle 8 and angle 13. See the diagram below.
The diagram is optional, but hopefully you can see that the angles are same side interior angles, aka consecutive interior angles. That's why we go with the consecutive interior angles converse
If we drop the "converse" portion, then that theorem says parallel lines lead to supplementary consecutive interior angles. The converse just reverses the flow of the logic.
Can any help me 10 points!!!!!! Its to pass math
Answers
Answer:
Option 4
Step-by-step explanation:
3x(x+2)-4(x+2)
(3x-4)(x+2)
3x²+6x-4x-8
3x²+2x-8
Brainliest please
Answer:
(x + 2)(3x - 4)
3x^2 + 2x - 8
Step-by-step explanation:
Factor out x + 2.
You get: (x + 2)(3x - 4)
Now multiply it out:
(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8
What's The actual length of UV (round to 3 decimal places) ?
Answers
Answer:
7.463 cm
Step-by-step explanation:
Use the pythagorean theorem (a^2 + b^2 = c^2) to find the side length of UV.
a^2 + b^2 = c^2
6.1^2 + 4.3^2 = 55.2
Then square root 55.2, which is 7.463 cm
Find the length of TU.
Answers
Answer:
0.5 (8x+15)?
Step-by-step explanation:
i really hope this helps-
not the greatest at math ._.
Step-by-step explanation:
I hope ill help you.
TU(4x+7.5)
universal set={members of an expedition to the South pole},A={people born in Africa},C={people born in China},F={females} Amber intersect A union C What can we say about Amber?
Answers
Answer:
Amber is fossilized tree resin that has been appreciated for its color and natural beauty since Neolithic times. ... There are five classes of amber, defined on the basis of their chemical constituents. Because it originates as a soft, sticky tree resin, amber sometimes contains animal and plant material as inclusions.
Solve the equation. 2e - 2 what does e equal
Answers
Help I need an answer asap
Answers
Answer:
6
Step-by-step explanation:
To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal
60x0.35=21
There are 21 perennials
Do the same for the biennials:
60x0.25=15
Therefore 15 biennials
Subtract the amount of perennials from the amount of biennials
21-15=6
There is 6 more perennials than biennials
Answer:
the answer is 6
21-15=6
Step-by-step explanation.
35% of 60 = 21 for perenalis
25% of 60 = 15 for biennials
40% of 60 = 24 for annuals
f(x) =2x+1 and g(x)=x²-7, find (f-g) (x)
help!!
Answers
Answer:
(f-g)(x)=2x+1-x^2+7
=2x-x^2+8
=-(x^2-2x-8)
=-(x^2-4x+2x-8)
=-{x(x-4)+2(x-4)}
=-(x+2)(x-4)
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours
Answers
Answer:
[tex]A = 2.25ft[/tex]
Step-by-step explanation:
Given
[tex]High = 5.5ft[/tex]
[tex]Low = 1ft[/tex]
Required
The amplitude (A)
This is calculated as:
[tex]A = \frac{1}{2}(High - Low)[/tex]
So, we have:
[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]
[tex]A = \frac{1}{2} * 4.5ft[/tex]
[tex]A = 2.25ft[/tex]
josh started reading at 8:18 and stoppted reading at 8:57 how many minutes did he read
Answers
Answer:
Step-by-step explanation:
41 minutes
He finished reading at 8:57 AM. How many minutes did he read? >) 41 minutes.
can i get brainlyest thx
Answer:
He read for 39 minutes
Step-by-step explanation:
You just subtract 57 - 18
how do you give BRAINLYIST for mathematics
Answers
Answer:
To give brainliest, you have to choose between one of the two answers to your question, whichever answer you want to give brainliest to. There will be a crown symbol at the top right of the answer I think and by clicking that, you will be giving brainliest to an answer for your question.
Step-by-step explanation:
Hope this helps
simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
Answers
====================================================
Work Shown:
(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)
12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12
(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)
14s^4-7s^2+0s+15
14s^4-7s^2+15
Note: don't forget to distribute the negative to every term in the last parenthesis
Factorise fully 2a^2b + 6ab^2
Answers
Answer:
Step-by-step explanation:
2a^2b + 6ab^2
take common
2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.
total we can take
2ab as common.So,
2ab(a+3b)
therefore 2ab(a+3b) is the required answer.
The required factorization is 2ab(a+3b).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Expanding brackets in reverse is a procedure known as factorizing.
Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.
Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.
We have, 2a²b + 6ab²
Here,
we have the highest common factor 2ab,
So, 2ab (a + 3b)
Therefore, 2ab(a+3b) is the required factorization.
To learn more about the factorization;
https://brainly.com/question/28187946
#SPJ2
H. E. L. P. ???!!!!!!
Answers
Answer:
C
Step-by-step explanation:
sin x= CB/CA =4/8
......
Simplify -2x^3y x xy^2
A
Answers
Answer:
your selected answers is right as when there you multiple u add the power.
Which fraction is equal to 0.13?
Answers
Answer:
13/100
Step-by-step explanation:
0.13 = 13/100
if you need more examples, 26/200, 39/300, 52/400 is all equal to 0.13 as well.
PLEASE PLEASE HELP ME!!! I KEEP GETTING SPAMMED AND I JUST WANT HELP
THANK YOU
EXPLANATION = BRAINLIEST
The area of the triangle is 400 square cm.
The base is ___ cm.
Answers
Answer:
25 cm
Step-by-step explanation:
hope it helps.....
Answer:
25 cm
Step-by-step explanation:
Use Algebra:
Area of a triangle is [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2}b[/tex] × 32 = 400
[tex]\frac{1}{2}b[/tex] = 12.5
[tex]b = 25 cm[/tex]
6th grade math help me pleaseee
Answers
Answer:
$0.27
However answered below me is correct. I divided backwards.
My apologies. It is 5am here locally and I've been up doing math for too many hours.
Unit price = Total cost divided by quantity
Unit price = 1.91 ÷ 7= 0.2728571429
rounded to the nearest cent $0.27
Answer:
27 cents
Step-by-step explanation:
Given 4x2 – 7x = -3, what are the solutions??
Answers
Step-by-step explanation:
4*2-7x=-3
8-7x=-3
-7x=-3-8
-7x=-11
x=-11/-7
x=1.5714...
Answer:
x = {3/4, 1}Step-by-step explanation:
4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0 | 4x - 3 = 0x = 1 | x = 3/4