10 points!!

Find the inverse of f(x) = √x-1

10 Points!! Find The Inverse Of F(x) = X-1

Answers

Answer 1
f

1
(
x
)
=
x
2
+
1
f
-
1
(
x
)
=
x
2
+
1
Answer 2

Answer:

Step-by-step explanation:

For a function to have an inverse, it has to pass the horizontal and vertical line test, yes both of them. This function does, so we can continue. The first step for finding an inverse is replacing f(x) with y. Then switch the places of x and y.

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

Now the next step is to solve for this new y value, which is equivalent to f^-1(x). Square both sides to get rid of the radical.

[tex]x^2=y-1[/tex]

Add 1 to both sides and that is your inverse function

[tex]y=x^2+1[/tex]


Related Questions

5(2Y - 3) – 4y = 8 – 2y - 15
Justify this please

Answers

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2y−3)−4y=8−2y−15

Step 1: Simplify both sides of the equation.

5(2y−3)−4y=8−2y−15

(5)(2y)+(5)(−3)+−4y=8+−2y+−15(Distribute)

10y+−15+−4y=8+−2y+−15

(10y+−4y)+(−15)=(−2y)+(8+−15)(Combine Like Terms)

6y+−15=−2y+−7

6y−15=−2y−7

Step 2: Add 2y to both sides.

6y−15+2y=−2y−7+2y

8y−15=−7

Step 3: Add 15 to both sides.

8y−15+15=−7+15

8y=8

Step 4: Divide both sides by 8.

The value of y is 1

Given the equation 5(2Y - 3) – 4y = 8 – 2y - 15

Expand

10Y - 15– 4y = 8 – 2y - 15

6y - 15 = -7 - 2y

Collect the like terms

6y + 2y = -7 + 15

8y = 8

Divide both sides by 8

8y/8 = 8/8

y = 1

Hence the value y of is 1

Learn more here: https://brainly.com/question/20596193

A bracelet that regularly sells for $44 is on sale for 15% off. Find the sale price of the bracelet. Use dollar signs with your answer. *

Answers

Answer:

The answer would be $37.40

Step-by-step explanation:

The sale price would be the current price which is 44 - 15% of itself.

It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.

44 x 0.85 = 37.40

dollar signs ;)

Answer:

$33.00

And here's a link to the quiz i think your taking. (Its a answer key)

https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications

If Amy has 10 quarters, 10 dimes, and 10 nickels what percent of her MONEY is in dimes?

Answers

Answer:

%0.13

Step-by-step explanation:

10 quarters= $2.5 which is 25 dimes

10 nickels= $0.5 which is 5 dimes

10 dimes= $100

100+25+5= 130 dimes = $13

13/100 = %0.13  

5k - 9 - 2k + 3 = 3k - 6

Answers

The equation is true and interval notation.

If an airplane travels a distance of 500 km in 5 hours heading north, what is its velocity?
PLEASE SHOW WORK!

Answers

Answer:

12

Step-by-step explanation:

You deposit $8500 in an account that pays 1.78% annual interest. Find the balance after 10 years when the interest is compounded
monthly
The balance after 10 years is $

Answers

Step-by-step explanation:

step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.

step 2. A = P(1 + r/n)^(nt) (compounding equation)

step 3. A = 8500(1 + .0178/12)^((12)(10))

step 4. A = 8500(1.00148334)^120

step 5. A = $10,154.68.

Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.

Answers

Answer: 6.25

Step-by-step explanation:

6•4•(6.25)= 150

Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interest rate?

Answers

Answer:

Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.

82.25 this is what Scott will pay in 6 months at simple interest.

 

Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.

3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.

 

The compound option is cheaper by: 74.15 =$8.10.

Answer: 4.75

Step-by-step explanation:

A parallelogram that is not a rectangle is graphed in a coordinate plane. The endpoints of a diagonal of the parallelogram
are (1, -3) and (9,2).
• What could be the coordinates of the endpoints for the other diagonal ?
Explain your reasoning. Be sure to include any geometric theorems you used in your reasoning.

Answers

Answer:

The other diagonal can be anywhere so long as the slope is 5/8 and the endpoints are sqrt(89) distance apart.

I don't know the geometric theorems :( but I hope this first part is helpful

using the properties of the special parallelogram, solve for x and y

Answers

Answer:

y = 4

x= 27

Step-by-step explanation:

boom roasted.

The product of 84.12 and which number will have three decimal places?
4.22
10.51
14.163
19.3

Answers

Answer:

14.163

Step-by-step explanation:

i do not now if that right but

It would be 14.163!

help me with this pls​

Answers

Answer:

I'm not sure I'm too lazy to do it lol

Step-by-step explanation:

Please help explain how to do this I will give brainliest!!

Answers

Answer:

30 feet for each sloped beam

Step-by-step explanation: if you tak

the 8 away from the bord that is holding up the sloped beams it leaves you with 60 feet all together for both beams added up


If an investment's value can be modeled with A= 325 (1+.027/12)^12t
then which of the following describes the investment?

Answers

Answer:

Step-by-step explanation:

It's an investment that has a nominal interest rate of 2.7% compounded monthly

3. The investment has a nominal rate of 27% compounded 12 times per year

Given that,

The investment value should be [tex]A= 325 (1+.027\div 12)^12t[/tex].

Based on the above information, the information is as follows:

The above formula represent that the investment should have the nomibal rate of 27% that compounded 12 times per year.

Learn more: brainly.com/question/17429689

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the
rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 57.9
B. 69.4
C. 61.1
D. 36.9

Answers

I think it’s b not sure tho

Alina has been collecting video games for a year. The table below shows how many games games she has received over the year​

Answers

Answer:

I don’t see the table so I can’t answer it....

Step-by-step explanation:

....................

What is the distance between (5, -1) and (5,-4)

1 unit
3 unit
4 unit
5 unit

Answers

Answer:

3 units  

Step-by-step explanation:

Work out the fraction that is halfway between 1/2 and 1 1/4

Answers

Answer:

The fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Step-by-step explanation:

Given the fractions

1/2 and 1 1/4

In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.

1)

Add the numbers

[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]

as  1 1/4 = 3/4, so

[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]  

Apply fraction rule:  [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

             [tex]=\frac{2+3}{4}[/tex]

              [tex]=\frac{5}{4}[/tex]

2)

Divide by 2

[tex]\frac{5}{4}\div \:2[/tex]

Convert element to fraction:  [tex]2=\frac{2}{1}[/tex]

[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]

Apply fraction rule:  [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

         [tex]=\frac{5}{4}\times \frac{1}{2}[/tex]

Multiply fractions:  [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

         [tex]=\frac{5\times \:1}{4\times \:2}[/tex]

         [tex]=\frac{5}{8}[/tex]

Conclusion:

Therefore, the fraction that is halfway between 1/2 and 1 1/4 is:  5/8

Explain the steps

3(2y + 5) = -21

Answers

Answer:

-6

Step-by-step explanation:

3(2y+5)=-21

2y+5=-21/3

2y+5=-7

2y=-7-5

2y=-12

y=-12/2

y=-6

20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment.
Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash
and a credit card. Using this information, answer each of the following questions.
Let A be the event that a randomly selected customer has enough cash and B be the event that a randomly
selected customer has a credit card.
What is P(A), the probability that a customer has enough cash?
What is P(B), the probability that a customer has a credit card?
What is P(A and B), the probability that a customer has enough cash and a credit card?
What is P(A or B), the probability that a customer has enough cash or a credit card?

Answers

I think it might be B

Is this a function? Explain your answer in the space below.


Answers

Answer:

Yes, this is a function because all the x values are different.

Step-by-step explanation:

In the diagram, the radius of the outer circle is 2x em and the radius of the inside circle is 6 cm. The area of the shaded region is 220 cm? What is the value of x2​

Answers

Answer:

Answer: 8 (second choice)

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, the area is calculated by the formula:

[tex]A=\pi\ r^2[/tex]

There are two circles in the diagram. The outer circle has a radius of r1=2x, thus its area is:

[tex]A_1=\pi\ (2x)^2[/tex]

The interior circle has a radius of r2=6 cm, thus its area is:

[tex]A_2=\pi\ 6^2=36\pi[/tex]

The shaded area is obtained by subtracting A1-A2:

[tex]A=\pi\ (2x)^2-36\pi[/tex]

The value of the shaded area is given as 220π cm2. Equating:

[tex]\pi\ (2x)^2-36\pi=220\pi[/tex]

Dividing by π:

[tex](2x)^2-36=220[/tex]

Adding 36:

[tex](2x)^2=220+36=256[/tex]

Taking square root:

[tex]2x=\sqrt{256}=16[/tex]

Dividing by 2:

x = 8 cm

Answer: 8 (second choice)

What is 4 2/3 plus 1 6/9 (simplify)

Answers

Answer:

423

Step-by-step explanation:

Answer:

6 + (1/3)

Step-by-step explanation:

4 + (2/3) + 1 + (6/9)

5 + (2/3) + (2/3)

5 + (4/3)

5 + 1 + (1/3)

6 + (1/3)

Given a set of data with the Regression Line: y = 3.5x + 18.5

What is the residual value for the ordered pair (100, 370)?

Answers

Answer:

1.5

Step-by-step explanation:

[tex]y=3.5*100+18.5=368.5\\rv=370-368.5=1.5[/tex]

In the expression, 2y2 + 4x – y + x2 +8, what is the coefficient
of x2 ?
A- 8
B- 2
C- 1
D- 4

Answers

Answer:

C. 1

Step-by-step explanation:

There is no number before the [tex]x^2[/tex] term and the term is positive, so the coefficient is [tex]1[/tex] (which is the only number we can refrain from writing as a coefficient, hence the reasoning).

What is problem number 2??

Answers

Answer:

QR

Step-by-step explanation:

The question is just trying to see if you can read the order of the lines.

PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ

Answer

YZ is the second and third letters of xyz.

QR are the 2nd and 3rd letters of PQR

closest value of 19.7dived 0.0485

Answers

The answer is 406.2 :) yeah I agree with the person above ^

3(3x – 3) = 27
Solve!

Answers

Ans

Step-by-step explanation:

x=4 should be the answer

If possible step by step explanation. thank you!

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3[/tex]

[tex](3x^2)^\frac{1}{2} = 3^\frac{1}{2} x[/tex]

Remember that [tex]\frac{x^b}{x^c} =[/tex]x^(b-c)

Using that [tex]\frac{3^\frac{1}{2}x }{3^\frac{1}{2} }[/tex]=3^(1/2x-1/2)=3^((x-1)/2)

[tex]3^\frac{x-1}{2} =3^1[/tex]

So we can say: [tex]\frac{x-1}{2} =1[/tex], because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

In a sale normal prices are reduced by 10%
Tom bought a pair of shoes in the sale for £54.
What was the original price of Tom's shoes?

Answers

Answer:

What are the answer choices

Step-by-step explanation:

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