y = x² +1,x>0
find the inverse

Answers

Answer 1

Answer:

The inverse of x² +1 is:  

[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]

Step-by-step explanation:

Given

y = x² + 1,  x>0

We know that A function g is the inverse of a function f if for y = f(x), x = g(y)

y = x² +1

Replace x with y

x = y² + 1

solve for y

y² = x - 1

Taking square root

[tex]y=\:\sqrt{x-1},-\sqrt{x-1}[/tex]

Thus, the inverse of x² +1 is:  

[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]


Related Questions

using compound interest, how long does it take to double a 1000 dollar investment that pays 6.5% annual interest, compounded monthly?​

Answers

Answer:

11 years approx

Step-by-step explanation:

Given data

P=$1000

A=2000

R=6.5%

T= ?

Calculate time, solve for t

t = ln(A/P) / r

substitute

t=ln(2000/1000)/0.065

t=ln(2)/0.065

t=0.693/0.065

t=10.66

Hence the time is 11 years approx

Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?
the first 20 students who arrive at school in the morning
all 20 boys on the swim team
5 students out of each of the 4 homeroom classes
the last 20 people in line for breakfast in the cafeteria

Answers

Answer:

5 students out of each of the 4 homeroom classes

Step-by-step explanation:

The most random sample is 5 students out of each of the 4 homeroom classes.

Thus, option (C) is correct.

Selecting 5 students from each of the 4 homeroom classes ensures that the sample represents a diverse range of students from different classes.

This approach helps to minimize bias and increase the randomness of the sample.

The other options, such as selecting the first 20 students who arrive at school or the last 20 people in line for breakfast, may introduce some bias based on the specific circumstances or characteristics of those groups. Selecting all 20 boys on the swim team would also not provide a representative sample of the overall student population.

Thus, option (C) is correct.

Learn more about Random variable here:

https://brainly.com/question/30789758

#SPJ4

plz help
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?

-16.75 + (5.72 + 16.75)

Use the commutative property to get:

-16.75 + (16.75 + 5.72)

Use the associative property to get:

(-16.75 + 16.75) + 5.72

On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total?
-$866.84
$878.28
$895.03
$903.10

Answers

................zzzz

Answer:

$5.72

Step-by-step explanation:

Sorry I was late--

An uber in Los Angeles charges $3.50 per mile and $2 for every person. If taxi cab ride for three people costs $20, how far did the taxi cab travel?

Answers

Answer:

4 miles

Step-by-step explanation:

Plz help I will give brainliest

Answers

Answer:

x= 18°

Step-by-step explanation:

90° = 3x + 2x

90° - 5x

x = 90°/5

x = 18°

At 7 p.m. the wind-chill temperature was 4°F. By 10 p.m., it had fallen 11
degrees. Write an equation to show the wind-chill temperature at
10 p.m., then solve the equation.

Answers

Answer:

-7

Step-by-step explanation:

4-11=-7

A car travels 100 miles in 4 hours. What is its average speed?

Answers

Answer:

25 miles per hour

Step-by-step explanation:

100 / 4 = 25

Average speed =distance covered over time taken
A.s= 100 /4
A.s=25miles/hour

what's a function????

Answers

Answer: Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Step-by-step explanation:

Answer:

A relation of two or more numbers

One input one output

there can be more then one input for the same output

just not more then one output for one input

How do you write 3,390 in scientific notation?
x 10

Answers

Answer:

3.39 × [tex]10^{3}[/tex]  

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. Since the decimal is going right, the exponent will be positive

please help! urgent!

Answers

Answer:

y=7

Step-by-step explanation:

Since the triangle is an equilateral triangle, all 3 sides must be congruent. Therefore, we can set the 2 measurements- 3y & 5y-14, equal to each other.

3y=5y-14

14=2y

y=7


If X-1 = 8, what justifies x - 1 = 16?
2
F Subtraction Property of Equality
G Division Property of Equality
H Transitive Property of Equality
J Multiplication Property of Equality

Answers

Answer:

I think G Division Property of Equality

Gary started his Saturday with $5 in his pocket. He then set up a lemonade stand and sold cups of lemonade for $1 per cup.

Is this a proportional or additive relationship?

Question 1 options:

Proportional


Additive

Answers

Answer:

it's 5 how did I know bc I'm big brain;p that's the right answers it's ,5...

Answer:

Additive

Step-by-step explanation:

I took the test

JOEY
Hoey
Boey
Goey
ABCDEFGHIJKLMNOPQRSTUVWXYZ

Answers

Answer:

jayfeather in the house

Step-by-step explanation:

Answer:

zoey :)

Step-by-step explanation:

Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday. He gives some baseball cards to his sister, and now he has 13 baseball cards left. How many cards did he give to his sister?

Answers

Answer:

23 cards.

Step-by-step explanation:

After Monday, Esteban has 12 cards.

After Tuesday, Esteban has 12 + 24 = 36 cards.

He gave to his sister x cards.

36 - x = 13

36 = 13 + x

23 = x

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!

SHOW THE WORK PLEASEEEE!!!

Answers

Answer:

4x^10y^8

Step-by-step explanation:

Get gud at math you newb

Answer:

2x^7y^6

Step-by-step explanation:

you do x^5 = X x X x X x X x X and x^2 is X x X so X^5 x X^2 is X x X x X x X x X x X x X which can be simplified to X^7

and the same for y

y^4 = Y x Y x Y x Y and y^2 is Y x Y, so Y^4 x Y^2 = Y x Y x Y x Y x Y x Y  which simplifies to Y^6

I hope thats right :)

How would it look like if you graphed this equation. y = 2x - 2

Answers

Answer:

Step-by-step explanation:

INEQUALITIES PLEASE HELP!!!

The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w = the number of rolls of wrapping paper sold.

Choose Yes or No to tell if each inequality represents a number that would beat the school record.

w ≥ 593 (YES OR NO?)

w > 593 (YES OR NO?)

w ≤ 593 (YES OR NO?)

593 < w (YES OR NO?)

Answers

Answer:

The record is 593.

To beat the record you need a greater number:

w > 593

Options:

w ≥ 593  NO, it includes 593 w > 593  YES   w ≤ 593  NO, it includes 593 and smaller numbers  593 < w  YES

please help marking brainlist What is the second inverse operation for the following problem? 3x+4=12

Answers

Answer: It would be multiplcation and addition.

Step-by-step explanation:

1/3y y = 15
please help

Answers

Answer:

Step-by-step explanation:

y in (-oo:+oo)

(1/3)*y = 15 // - 15

(1/3)*y-15 = 0

1/3*y-15 = 0 // + 15

1/3*y = 15 // : 1/3

y = 15/1/3

y = 45

y = 45

Answer: The answer is five

Step-by-step explanation: This is because if the equasion is 1/3 x y and y=15 than the equasion is 1/3 x 15 or 1/3 x 15/1 which is 5

Cody increased the amount of money he saves each week from $40 to $75. By what percentage did Cody increase the amount of money he saves?

Answers

Step-by-step explanation:

75-40= 35

[tex] \frac{35}{40} \times 100\% = 87.5\%[/tex]

7x+2=-54


Brainliest answer

Answers

Answer:

Step-by-step explanation:

Subtract 2 on both sides

7x = -56

Divide 7 on both sides

x = -8

if mr.s rivas has 256 donust and she needs to give the same amount of dounts to her 5 freinds

Answers

Answer:

256/5=51.2

Step-by-step explanation:

Answer:

51 with a remainder of one, or 51.2

Step-by-step explanation:

She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.

5 | 256

Look at the first term. Does 5 go into 2? No. Bring down the next term.

5|256

  25

Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.

5|256 = 5

  25

Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).

5|256 = 5

  25

 -25

     06

Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.

5|256 = 51

  06

   -5

     1

Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.

If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.

So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.

Two streets form an intersection. C and D are supplementary
angles. If the measure of C is 140° and the measure of D is
two times the value of x, what is the value of x?

Answers

Answer:

20degrees

Step-by-step explanation:

The sum of angle C and D is 180 degrees since they are supplementary

Given

m<C = 140 degrees

m<D = 2x

Taking the sum and equating to 180

140 + 2x = 180

2x = 180-140

2x = 40

x = 40/2

x = 20 degrees

Hence the value of x is 20degrees

0.8 = 0.5x

Solve for x

Please show steps thanks so much

Answers

If I’m not mistaken, to solve for x you have to get it by itself so you need to divide 0.5 from both sides:

0.8/ 0.5 = 0.5x/ 0.5

Cross out the 0.5’s on the right because they cancel out and you will end up with:

0.8/ 0.5 = x

All you have to do then is divide 0.8 by 0.5 and you get:

1.6 = x

The area of the rectangle shown below is given by the expression 7x+35. If the width of
the rectangle is equal to 7, then which of the following is the correct expression for the
missing length of the rectangle in terms of the variable x?
(1) x+35
L = ?
(2) 7x + 21
(3) r + 28. (4) r+5
Area = 7x + 35

Answers

Answer:

I think C(3)

Step-by-step explanation:

i need help asap. Thank you ​

Answers

Hahah the title but I would help but I can’t

What are the zeros of the polynomial function? State the multiplicity of each zero y=(x+2)(x-3)^2

Answers

Answ er:

-2,  3

Step-b y-step explanation:

The question is asking what x equals that makes y equals 0

How do we do this?

Because we're multiplying things together we just need one part of the equation to equal 0

for example if x= -2 then we would have the following

(-2+2)(-2-3)^2

(0)(-5)^2

which is 0

and the other answer is 3 because when you have

x-3=0

x= 3

HELP MEEE ITS DO IN 2 HOURS!!!
An online company sells watches with different prices. The ordering system uses
the equation c=p+7.50 to determine the total cost, c, including shipping for a
watch with a price of p dollars.

Identify the independent variable and the dependent variable.

Answers

Answer:

p - independent

c - dependent

Step-by-step explanation:

Answer

C is the dependent variable and P is the independent variable .

Step-by-step explanation:

pls help it’s 30 points :)

Which mathematical sentence matches the story?
A school is holding a cake sale to raise money. They are selling cakes for $1 each and soft
drinks for $.50 (50 cents) each. How many cakes and drinks do they have to sell to make
at least $100?

Answers

Answer: they will need to sell 1,000 soft  drinks and 50 cakes

Step-by-step explanation:

2x- 7 and the opposite of 2x

Answers

Answer:

-7/4 is the correct answer,ok bro

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