Mathematics High School

Find the inverse of the function. Is the inverse a function? f(x) = (x − 2)2

Answers

Answer 1

Answer:

[tex]f^{-1}(x)=\sqrt{x}+2[/tex]

Step-by-step explanation:

Given function is,

f(x) = (x - 2)²

Step - 1

Rewrite the function in the form of a equation.

y = (x - 2)²

Step - 2

Interchange the variables 'x' and 'y',

x = (y - 2)²

Step - 3

Solve the equation for y,

x = (y - 2)²

y - 2 = √x

y = 2 + √x

Step - 4

Rewrite the equation in the form of a function,

[tex]f^{-1}(x)=\sqrt{x}+2[/tex]

Related Questions

Factor each polynomial
36xy²-48x²y

Answers

Answer:

12xy(3y-4x)

Step-by-step explanation:

Complete the number sentence to solve.
Eight girls share 7 sandwiches equally.
How many sandwiches does each girl

Answers

Answer:

Step-by-step explanation:

I = Prt (solve for P)

Answers

Answer:

Step-by-step explanation:

Divide both sides by rt

[tex]P=\frac{I}{rt}[/tex]

Answer:

[tex]p=\frac{i}{rt}[/tex]

Step-by-step explanation:

the equivalent of two integer is not always integer . true or false?
please be fast i don't understand it.

Answers

Answer:

Yes it is true. Sum of two integers is always an integer

Step-by-step explanation:

Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

3/5 divided by 1/3 please help me and show me step by step don’t just give me a answer thanks

Answers

Answer:

1/5

Step-by-step explanation:

3/5×1/3=1/5

use the change flip method due to divide

Answer:

See step-by-step explanation.

Step-by-step explanation:

When dividing a fraction it is not actually dividing, it is more multiplying.

Our sum looks like this:

3/5 ÷ 1/3

The method here is to flip the second fraction and change the divide sign into a multiplication sign. Here is what is looks like step-by-step.

3/5 ÷ 1/3

3/5 ÷ 3/1

3/5 × 3/1

Now we can finish the sum off by multiplying across.

3 × 3 = 9

5 × 1 = 5

9/5, this is a top-heavy fraction.

If we want it as a mixed fraction then here it is:

1 4/5 (that is one and four fifths).

Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
5%
?

Answers

Answer:

$42.00

Step-by-step explanation:

5% = 0.05

40.00 x 0.05 = 2

0/40 and 5%/100
5•40=200 divided by 100 =2
The sales tax is $2 so the price after the tax would be $42

9 • (7 – 4)2 + 9 simplify asap

Answers

Answer:

Step-by-step explanation:

9 x (3)2 + 9 first do the parenthesis

9 x 9 + 9 I am assuming the 2 was an exponent

81+9

What is the quotient of 4235 divided by 11? explain your process.

Answers

Answer:

385

Please give me branilest (:

The quotient of the division will be 385.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number 4235 is divided by the number 11. The quotient will be calculated by the long division method as,

11 ) 4235 ( 385

-33

__________

-88

__________

-55

_________

Hence, the quotient of the division will be 385.

To know more about an expression follow

https://brainly.com/question/30242185

#SPJ2

a rectangle poster is 2/3 meters long and 1/2 meters wide what is the area of the poster in square meters

Answers

Answer:
1/3 square meters
Step-by-step explanation:
Area = length x width
2/3 x 1/2 = 2/6 = 1/3

Find The missing dimension of the circle Diameter= 24in.

Answers

Answer:

it is a good thing to do with the green

Step-by-step explanation:

first time I have ever been

which options are correct representations of slope?

Answers

Answer: Option 2

Step-by-step explanation:

Help plsssssssssssssss

Answers

Answer:

Step-by-step explanation:

Answer:

8 centimeters is > 19 millimeters

Step-by-step explanation:

The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the difference of the lengths of the highways when 1 = 1 = 4? Explain.

Answers

Step-by-step explanation:

13.5 is the difference of the length of the roads

A parabolic mirror to be used in a
searchlight measures 40 centimeters tall
and 80 centimeters wide. It's light bulb
needs to be placed at the focus for the light
to magnify properly. Find the distance from
the vertex to the bulb.
Hint: Assume the parabola opens
downward and has its vertex at the origin.
PLEASE HELP !!!!

Answers

I’m sorry if I’m wrong I’d stay safe and let someone anwser tell u but I think 20

2inch 1inch=265 feet

Answers

Answer:

2 inches=530

Step-by-step explanation:

Please give me brainliest. Have a good day. :)

Answer:

24 feet

Step-by-step explanation:

Since 1 inch is 12 feet we can tell that 2 inches is basically doing 12*12. Which would be 24 so:

2 inches is 24 feet

Hope this answers your question! Have a great day/night!

Find y.
Round to the nearest tenth:
29
500 ft
y = [? ]ft

Answers

Answer:

30 by 500

Step-by-step explanation:

is y

Please help! Very stuck! Will give Brainly if answer is correct!

Answers

∜(2x²)⋅∜(2x³) = ∜(4x⁵) = ∜(x⁴)⋅∜(4x) = x∜(4x)

I really don't understand this! Can someone give an explanation to me?

Answers

Step-by-step explanation:

Total number of Black cards is 26

Total number of cards having a ten is 4 out of which 2 are red

Number of favourable outcomes=28

TOTAL number of possible outcomes =52

Therefore the probability = 28/52 = 7/13

I NEED HELPPPPPPPPPPPPPPPPPPPPP WITH THIS PLEASEEE

Type the missing number in this sequence:

3, 18, ____, 648, 3,888, 23,328

Answers

Answer:

108

Step-by-step explanation:

You divide by 6 each time

find the square root of 64 by prime factorization method

Answers

Answer:

8 is the square root of 64.

Step-by-step explanation:

I hope it's helpful!

Step-by-step explanation:

8 is the square root of 64 by prime factorization method

The table and graph both represent the same relationship. Which
equation also represents that relationship?
у
12
у
х
0
0
10
2
4
8
4
8
6
6
12
4
N
02
4 6
y = 2x
y = x + 8
y = x + 2
y = x2
lol

Answers

Answer:

Y=2x

Step-by-step explanation:

I did the iready quiz already:)

The equation of the proportional relationship represented by the table and the graph is: y = 2x.

What is a Proportional Relationship?

If m is the slope or unit rate, a proportional relationship between two variables, x and y, can be represented with an equation as, y = mx.

Let's find the equation that represents the relationship represented by the graph and the table. Let's use the graph.

m = y/x

Using the point, (2, 4),

m = 4/2 = 2

Substitute m = 2 into y = mx

y = 2x

Therefore, the equation of the proportional relationship represented by the table and the graph is: y = 2x.

Learn more about proportional relationship on:

https://brainly.com/question/15618632

The kinetic energy of an object is given by the formula E = mv2. If m is in kg and v is in m/s,
then E is in joules. What is the kinetic energy of an electron (mass = 9.1 x 10-31kg) travelling at a
fifth of the speed of light (speed of light, c = 3 x 108m/s)?

Answers

Answer:

9.553×10^-26

Step-by-step explanation:

m= 9.1 ×10 ^-31

v = 3 × 108

= ( 9 .1 × 10 ^- 31) × ( 3 × 108 ) ^2

= 9 .552816 × 10 ^ -26

approximately

9.553×10 ^26

Find the length of DB

Answers

Answer:

Step-by-step explanation:

this line is congruent to EC on the base

Trina collects eggs from her hens.
She labels their eggs small or medium or large.
20% of the eggs she collected in May were small.
24% of the eggs she collected in May were large.
(a) What percentage of the eggs she collected in May were medium?

Answers

Answer:

56% of her eggs were medium in may

Step-by-step explanation:

if 20% of the eggs she collected in May were small, 24% of the eggs she collected in May were large. All you have to do is add them up which is 44% and minus it by 100% which is 56%

~Batmans wife dun dun duuuun

What is 340 as a percent?

Answers

340 as a percent is 100%

use cross products property to solve the proportion a/6=15/2

Answers

Answer:

a = 45

Step-by-step explanation:

[tex]\frac{a}{6} = \frac{15}{2}[/tex] Original equation.

[tex]a = 6(\frac{15}{2})[/tex] To solve for a, multiply both sides by 6 to isolate a.

[tex]a = 3(15)[/tex] 6 reduces to 3 when divided by 2.

[tex]a=45[/tex] Multiply 3 and 15 to get a.

please help me on this will give you brainliest!!

Answers

Answer:

Mesure 6 is 116 mesure 8 is 116

Step-by-step explanation:

the average speed of a train that travels x in 3/4 hour

Answers

-------
Ans: (x/(3/4)) mph = (4x/3)mph = (4/3)x mph
------------------------

Please for the love of god or whatever, help

Answers

Answer:

[tex]sin 40 = \frac{x}{11}[/tex]

Step-by-step explanation:

[tex]sine = \frac{opposite}{hypotenuse}[/tex]

Side x is the opposite, since it is opposite the angle you are solving for.

Side y is the adjacent, since it is next to the angle you are solving for.

The side measuring 11 is the hypotenuse, since it is across from the right angle.

A teacher wrote a question on the board to which
42.5
%
of the
40
students in her class could not give the correct answer.

What is the number of students who answered correctly?

Answers

Answer:

Step-by-step explanation:

find 10% = 4

quadruple it = 16

half 10% = 2

half it again = 1

2.5% = 1

40% = 16

1 + 16 = 17

take 17 off of 40 = 23

100% - 42.5% = 57.5%
57.5% of the 40 students answered correctly.
57.5% of 40 = 0.575 × 40 = 23 students

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In effect, this limits consumers' property rights over their smartphones. Assuming that black markets do not exist and new phones are more expensive than used phones, which of the following statements is true?a. There is no loss of mutually beneficial transactions since all consumers who would have bought a used phone can now simply purchase a new phone for the same price as a used one.b. The equilibrium price and quantity of used phones will increase.c. The equilibrium price and quantity of used phones will remain the same.d. There is a loss of mutually beneficial transactions in the economy since some consumers would be willing and able to buy used smartphones and some would be willing and able to sell their used phones. Now, everyone must purchase news phones from providers.