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

The cylindrical part of an architectural column has a height of 315 cm and a diameter of 30 cm. Find the volume of the cylindrical part of the column. Use 3.14 for n and round your answer to the nearest cubic centimeter if needed.​

Answers

Answer:

Your answer would be A. 222.548 cm^3

Step-by-step explanation: I did it on a p e x and got it right :)

what is 5,256 divided by 12

Answers

Answer:

438

Step-by-step explanation:

5,256 divided by 12 is 438

Two planes travel at a constant speed. Plane A travels 2,800 miles in 5 hours. Plane B travels 3,885 miles in 7 hours.

1. Which plane is faster?

Answers

Answer: First.

Step-by-step explanation:

Let's find the speed of the first airplane:

2800 ÷ 5 = 560 (miles per hour)

Let's find the speed of the second plane:

3885 ÷ 7 = 555 (miles per hour)

Thus, the first plane flies faster than the second.

The first plane is faster.


The first plane travels at 560 miles per hour. The comparisons are 2 hours apart. Add 560 2 times to 2800 and you get 3,920 which is greater than 3,885, the original number of MPH for the second plane.


Meaning the first plane is faster.

Someone help this is due today worth half my grade!!

Answers

Answer:

D-the slope of the line will be zero

Step-by-step explanation:

Help Julie has the boxes of pens

Answers

Answer:

A=C+16

Step-by-step explanation:

HELP ME ASAP PLEASE ?!?
Find the length of the missing side. Simplify all radicals.

Answers

i think it’s 6.........

i think it’s 6......... Sorry if I got it wrong I’m trying to help people out Answer:

Step-by-step explanation:

Solve for X
PLEASE HELP!!

Answers

X is cross multiple and u have to divide

Answer: 3

Step-by-step explanation:

9x - 1 = 41 - 5x, 9x + 5x = 41 + 1, 14x = 42, x= 42/14, x= 3

Can someone help me please

Answers

Step-by-step explanation: 70

30 Points Plss HELP!!! Due Today

The dimensions of a triangular prism are shown.
What is the surface area of the triangular prism?


A.20.5 square inches

B.29 square inches

C.32 square inches

D.14.5 square inches

Answers

Answer:

C

Step-by-step explanation:

To find surface area you find all the areas of the sides and add them up. We can start by setting up our equations.

A = L x W

For both the sides ——> 2(5 x 0.5) = 5

For both the triangle parts ——> bh/2 ———> (4 x 6)/2 times 2 = 24

For the bottom part ——> 6 x 0.5 = 3

Now to add everything up: 24 + 3 + 5 = 32

The answer should be C.

what is 3/4 multiplied by 16 (3/4 x 16)

Answers

4 goes into itself 1 and into 16 4 times then u just multiply the 3 x 4 which is equal to 12 ;)

Write a rule for the linear function in the table.


f(x) = 4 – x

f(x) = x + 4

f(x) = x – 4

f(x) = 4x

Answers

Answer: BRAINLY

f(x)=x-4 is the answer i believe

Answer :

The function is  

Step-by-step explanation:

Given values in table :

x        f(x)

3         -1

4          0

5          1

6          2

Here we see there is a difference of 4 in the values of x and f(x)

i.e. 3-(-1)=4

or 4-0=4

Similarly 5-1=4

6-2=4

So x-F(x)=4

Adding F(x) -4 both sides

x-F(x) +F(x) -4=4+F(x) -4

We have F(x)= x-4

Step-by-step explanation:

i cant find the answer

x to the power of 3 plus x to the power of 2 plus x​

Answers

Answer:

x(x²+x+1)

Step-by-step explanation:

im not surewhat answer u want but take note this is FACTORIZATION

Solve: 2x + 3y = 1
y = -23 +11

Answers

Answer:

x = 18.5

y = -12

Step-by-step explanation:

First, solve y:

y = -23 + 11

y = -12

Then, solve the main problem:

2x + 3y = 1

(Substitute y)

2x + -36 = 1

2x - 36 = 1

2x = 1 + 36 = 37

x = 37 / 2

x = 18.5

(Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of the colony after x hours can be modeled by the function f(x)=25 ⋅ 2x. What values for the domain are reasonable in the given context?



1. all real numbers



2. all real numbers greater than 0



3. all real numbers greater than or equal to 0



4. all real numbers greater than or equal to 25

Answers

Answer:

Step-by-step explanation:

The answer is 3

The reasonable domain is all real numbers greater than or equal to 0.

What is domain?

The collection of all conceivable independent values that a function or relation may take is known as its domain.

Given:

In a research experiment,

the population of a colony of bacteria doubles every hour.

Here, we can use exponential growth function.

The population, f(x), of the colony after x hours can be modeled by the function f(x)=25 ⋅ 2ˣ.

The value of x can not be negative because it represents time.

The domain of the function is all achievable values.

So, the domain is  all real numbers greater than or equal to 0

Therefore, the domain is all real numbers greater than or equal to 0.

To learn more about the domain;

https://brainly.com/question/28135761

#SPJ6

I need help on these ASAP

Answers

6) Being that x=0 , angle R will be equal to 65.

7) Being that x=2, angle N will be equal to 116 .

Note that : adjacent angles (the ones next to each other) adds up to 180 & opposite angles are congruent meaning that they equal each other.

I have to pass pls help

Answers

(2,-7) is the point after the translation is made to find the original point just do the opposite of the equation so for x it would be
2-4=-2
Y would be
-7+3=-4
So the answer is (-2,-4)

2^2×3^2/2^-2×3^-1
plzz give answer​

Answers

Answer:

48

Step-by-step explanation:

The computation is shown below:

= 2^2×3^2 ÷ 2^-2×3^-1

= 4 × 9 ÷ 2^-2 × 3^-1

= 48

Hence, the given equation shows the answer of 48

So the same would be considered and relevant too

Therefore the 48 is the answer


Ms. Merry spent a total of $33.42 to buy 6 books. Each book was the same price. Which expression should be used to estimate the cost of
each book?

Answers

Answer:

down below

Step-by-step explanation:

36/ 6 = 6

real answer is 5.57

I am a number between 60 and 100. My ones digit is four less than my tens digit. I am a prime number. Part 1 out of 2What number does Winnie's riddle describe? Complete the explanation. Winnie's riddle describes the number . The digit in the tens place must be 6, 7, 8, or 9, so the number must be ?, ?, ?, or ?. The only prime number is because it has exactly two factors

Answers

Answer:

Only 97 is the one that's prime. The answer to the riddle is 97, so check if 79 is "ones digit is two less than my tens digit".

please follow me my friend

answer properly for brainliest

Answers

I don’t want points but I’m in geometry too and it sucks so bad nobody ever wants to help with geometry on here lol

Write the equation in point-slope form of the line that passes through the given points.
Point = (1, -2)
Slope = -2

Answers

Answer:

y+2=-2(x-1)

Step-by-step explanation:

point-slope form

(y-y1)=m(x-x1)

m: slope = -2

(x1,y1) = (1,-2)

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


Help me please
Find the product. Simplify your answer.
2(-3a² + a)

Answers

answer: -6a square +2a

Step-by-step explanation:

2(-3a² + a)

=-6a square +2a

One tract of land contains 25 acres. An adjoining tract of land is 1 square mile. The owners agreed to sell for $1,500 per acre. What was the total price of the 2 lots?

Answers

Answer:

$997,500

Step-by-step explanation:

Tract 1 = 25 acres

Tract 2 = 1 square mile

Cost of land per acre = $1500

Number of acres per square mile = 640 acres

Total number fo acres :

(Tract 1 + Tract 2)

(25 + 640) acres

= 665 acres

Total cost :

665 * $1500

= $997,500

which points are the solutions to y<0.5+2?

Answers

Answer:

all the points below this line towards (0, 0) on the whole plain will work

Step-by-step explanation:

This line passes through (0, 2) and (-4, 0) which puts it in the fourth quadrant

y < 0.5x + 2 i.e. 0 < 2 which is true

all the points below this line towards (0, 0) on the whole plain will work

In a school, 55% of the pupils are girls. Out of the girls, the ratio of ones with blonde hair to ones with brown hair is 2:3. What percentages of pupils are blonde girls?

Answers

Answer:

36.7

Step-by-step explanation:

Pls help me on this question ! 10 pts for you:)

Answers

its actually only 5 pointss butt the answerr is every output has to have an input

I fell asleep in class and Im failing, pleaseeee help!

Answers

[tex]\huge\fbox\pink{Answer}[/tex]

6.) ∆DAY

7.) SAS

Reason:-

SN corresponds to DY UN corresponds to AY

hence, ∆SUN is congruent to ∆DAY

SN = DY UN = AY<N = <Y

hence, both the triangles are congruent due to SAS

I hope this helps

whats 409 divided by 2 also I need some anime pics ty

Answers

Answer:

204.5

Step-by-step explanation:

Answer:204.5

Step-by-step explanation:

6TH GRADE MATH!!

A store makes 20% profit on the total price of all the items they sell.

let t represent the total price of all items sold in dollars, and let p represent the profit in dollars.

1) WRITE AN EQUATION TO REPRESENT THE RELATIONSHIP BETWEEN THESE VARIABLES:

Pls help! I don’t understand!! :/

Answers

Answer:

p=1/5t

Step-by-step explanation:

Since t is 100% of the items sold and p is 20% of that, the profit, p is 20% of t, or 1/5t.

Answer:

p = t(0.2)

Step-by-step explanation:

The profit is 20% of the total price. So if you multiply the total price by 0.2, you will get 20% of the total price which is the profit.


Huan's wage increases by 10%. His original wage is £10.40 per hour. What is his new hourly
wage?

Answers

Answer:

(pound sign) 11.44

Step-by-step explanation:

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