What is the inverse of f(x) = 2x2 –4?

Answers

Answer 1

Answer:

The inverse of the function is

[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]

Step-by-step explanation:

let the inverse of f(x) be m:

[tex]m = {2x}^{2} - 4 [/tex]

take 4 to the left hand side ( changes sign to positive ):

[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]

take a square root on all sides:

[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]

substitute x in place of m:

[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]


Related Questions

HELP PLS ILL GIVE BRAINLIEDY

NO LINKS






Answers

Answer:

70

81

95

A: 46%

Step-by-step explanation:

29+41=70

135-54=81

205-110=95

A: 95 out of 205.

Divide 95 by 205.

[tex]\frac{19}{41}[/tex] or 0.46341...

Switch to % and Round.

46%

I actually have no idea what b and c mean so good luck

Answer:70

81

95

Step-by-step explanation:

you subtract or add everything together to get an answer ex:29+41 thats how you get an answer of 70

−4/5 x (−1/2)

Im very low iq need help

Answers

Answer:

2/5

Step-by-step explanation:

Hope that helped you out :)

Answer:

2/5

Step-by-step explanation:

Two Negative signs get rid of each other, and then multiply top to top, and bottom to bottom from each fraction. In this case 4 x 1 , and 5 x 2 , and we get 4/10 after that we can simplify and get 2/5.

Based on your answer to the last question, which of the following prices of trade (that is, price of cheese in terms of beer) would allow both Sweden and Greece to gain from trade? Check all that apply.

Answers

What are the options?

PLEASE HELP

X/2-7=9

Show your work in details if you can, I have a hard time understanding this.

Answers

I’m not very good at math but here’s my reasoning:
x/2-7=9
I moved the 7 to the other side of the equation
So now
X/2 = 9 + 7
X/2 = 16
Since x is equal 16 if you divide x by 2 (because x/2=16), that means if you want to find x you need to multiply x by 2
X = 16 x 2
X = 32
I hope it’s right !! <3

Answer:

Step-by-step explanation:

x/2  - 7 = 9                  Add 7 to both sides

      +7     7

x/2 = 16                        Multiply both sides by 2

2*x/2 = 16*2        

x = 32

You are at about the second stage of solving equations. So far what you should know is that you should add or subtract before doing multiplication or division.

Take a much simpler question

x - 8 = 10        What do you do here? You can't multiply or divide. So add

  +8    8

x    =    18

Now try what you have

2x - 5 = 11                      Add before multiplication or division

    5      5

2x = 16                          Divide by 2

2x/2 = 16/2

x = 8

1/5 divided by 1? pls answer quick

Answers

Answer:

I/5 because it's itself split into 1 group

Answer:

its still 1/5

Step-by-step explanation:

You are dividing it by the amount of times it goes into itself so the answer is 1/5

true or false

IF 31×31 = 961 ,then 961 =31

44100 =220

Answers

Answer:

False

Step-by-step explanation:

It will have to be 31 x 31=961

please solve thank you​

Answers

Answer:

(0, 1 )

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis

On the y- axis the x- coordinate of any point is zero

From the table when x = 0 , y = 1

Then y- intercept is (0, 1 )

Margie had 4 2/5 pans of lasagna. After a party she has 1 1/2 pans left. How much lasagna was eaten at the party

Answers

Answer:

2 9/10 pans

Step-by-step explanation:

4 2/5-1 1/2=2 9/10 pans

2 and 9/10 pans of lasagna were eaten at the party.

To find out how much lasagna was eaten at the party, you need to calculate the difference between the initial amount of lasagna Margie had and the amount she has left after the party.

Initial amount of lasagna = 4 2/5 pans

Amount left after the party = 1 1/2 pans

First, we need to convert both fractions to a common denominator. The common denominator of 5 and 2 is 10.

Initial amount of lasagna = 4 x 10/10 + 2/5 x 10/10

= 40/10 + 4/10

= 44/10 pans

Amount left after the party = 1 x 10/10 + 1/2 x 10/10

= 10/10 + 5/10

= 15/10 pans

Now, subtract the amount left after the party from the initial amount to find out how much lasagna was eaten:

Amount eaten = Initial amount - Amount left

Amount eaten = 44/10 - 15/10 = 29/10 pans

You can simplify the fraction further:

Amount eaten = 2 + 9/10 pans

So, 2 and 9/10 pans of lasagna were eaten at the party.

Learn more fraction click;

https://brainly.com/question/30842189

#SPJ3

If this library has 134,000 ​books, find how many books are in the category of reference or other​?

Answers

Answer:

134,000-X=Y

Step-by-step explanation:

you'll first have to solve how many categories there are, but since we don't know we'll use X, we already know that there is 134,000 books, but we don't know how many books are reference or other, so we use Y to represent that.

so it's

134,000-X=Y

I hope this helps

Amy scheduled herself from 7am-1pm on Sunday through Wednesday. She need to release 10am to 12pm at the last minute. She serviced all of other time for which she posted. What was her overall committed adherence percentage?

Answers

Answer:

Step-by-step explanation:

Money

Get away

You get a good job with good pay and you're okay

Money

It's a gas

Grab that cash with both hands and make a stash

New car, caviar, four star daydream

Think I'll buy me a football team

Money

Well, get back

I'm all right Jack

Keep your hands off of my stack

Money

It's a hit

I'm in the high-fidelity first class travelling set

I think I need a Lear jet

-√100/5 = ? Simply it please with full explanation. Thanks

Answers

Answer:

-2√5

Step-by-step explanation:

First simplify what's inside the radical: 100/5=20

Now we have -√20

The square root of 20 is 2√5 (because 5*4=20 and the square root of 4 is 2)

Because there is a negative the answer has to be -2√5

What is the difference between the ratio AP: PB and the ratio of AP: ABS​

Answers

[tex]\\ \sf\longmapsto AP:PB[/tex]

It means the ratio of point P to each segments

[tex]\\ \sf\longmapsto AP:AB[/tex]

It means ratio of one segment with respect to whole segment

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Question 6. M(5, 2)

Question 7. M(-6, 0)

Step-by-step explanation:

1. C(3, -5) and D(7, 9)

Use the midpoint formula:

(x1 + x2/2, y1 + y2/2)

(3 + 7/2, -5 + 9/2)

(10/2, 4/2)

(5, 2)

2. S(-8, -6) and T(-4, 6)

Use the midpoint formula:

(x1 + x2/2, y1 + y2/2)

(-8 + -4/2, -6 + 6/2)

(-12/2, 0/2)

(-6, 0)

What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?

Answers

The equation is y = 4/5x + 6/5

Simplify Question 8 options: A) 8 B) 9 C) 6 D) 12

Answers

Answer:

Your question is incomplete ..

Determine whether the following statement is true or false.
A proper use of units can help us to determine the meaning of the slope of a linear function.

Answers

The correct answer would be true

Here we want to see if the statement:

"A proper use of units can help us to determine the meaning of the slope of a linear function" is true or false.

We will see that it is true.

First, a general linear equation can be written as:

y = a*x + b

Where a is the slope, x is the independent variable, y is the dependent variable, and b is the y-intercept.

The proper use of units is:

y and b must have the same units.

x can have any type of units

The slope must have the quotient between the units of y and the units of x.

Where the proper use of units means that we have the same units on both sides of the expression.

Now, assume that we know the units of y and x.

For example:

y is miles  (then b is also in miles)

x is in hours

Then, with the proper use of units, we can see that the units of the slope are:

miles/hour, or miles per hour.

With this (only knowing the units of x and y) we can see that the slope will be a speed.

So yes, the proper use of units is really important, as this has a lot of information (particularly, the meaning of the slope in a linear equation)

Thus, the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/20286983

Answer and explantion please?​

Answers

Answer:

x=76° (being alternate angle)

Answer:

x=76° (Alternate angle)

supposed f(x) = 2x+5 what is the value of -2f(x+1)? PLEASE THIS IS THE LAST QUESTION ILL GIVE A BRAINLIEST

Answers

Answer:

-4x+1-10

Step-by-step explanation:

-2(2x+5)=0

-4x-10=0

-4x+1-10=0

-4x-9=0

-4x=9

x=9/-4

x=-2,25

please inform if wrong

Answer: -2f(x + 1) = -4x - 14

Explanation
f(x) = 2x + 5
f(x + 1) = 2x + 7
-2f(x + 1) = -2(2x + 7)
= -4x - 14

25.5 divided by 1.25

Answers

the answer is 20.4 and I hope this helps!

PLEASE HELP

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:45 degrees

Step-by-step explanation:

. Evaluate the expression below for x = 4. 6(x+8) (please ​

Answers

Answer:

D

Step-by-step explanation:

6(x + 8) =                 Plug in x with 4

6(4 + 8) =

6(12) =

72

D. 72
6(4+8) (remember distributive property)
6(4) & 6(8)
24+48
=72
so that means the answer will be D. 72

Is 0.8 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9

Answers

Answer:

g. 19/25

Step-by-step explanation:

19/25 = .76, or approximately .8 -- none of the other options come as close as option g.

7. The resistance of dry human skin is about 500,000 ohms in wet, sweaty
human skin is about 1000 ohms. How much current passes across
someone's finger if they touch the leads of a 9 volt battery when their skin
is wet and dry?

Answers

Answer:

Step-by-step explanation:

1000 Ohms

R = 1000

V = 9

I = V / R

I = 9 / 1000

I = 0.009

500000 Ohms

V = 9

I = V/R

R = 500000

I = 9 / 500000

I = 0.000018

Complete the table. Round each number to given place. Number 155,999 to nearest hundred

Answers

Answer:

156,000

Step-by-step explanation:

Answer:

156,000

Step-by-step explanation:

Note the hundreds place value (underlined and bold):

155,999

Look at the digit value directly next to the given place value (tens place value). It is a 9. Because 9 is greater then 5*, you will round up:

155,999 rounded to the nearest hundreds place value is 156,000.

* Note when rounding:

If the digit to the right of the one you are finding is:

- Less than 5: Round down.

- 5 or greater: Round up.

~

Some Word Problems

1. You are making sandwiches for a large crowd. All must be identical and must contain 2 slices of bread, 2 teaspoons mustard, 3 slices salami, 2 slices of cheese, 2 lettuce leaves, and 1 slice tomato.

You have on hand

2 loaves of bread, 20 slices each 3 pounds of cheese, each pound gives 16 slices 1 quart of mustard 60 slices of salami An unlimited supply of tomatoes from your garden 3 head of lettuce, approximately 15 leaves in each

How many sandwiches can you make?

For which ingredients is (are) there no leftovers?

In case you've forgotten your kitchen conversions: 1 quart = 4 cups; 1 cup = 16 tablespoons; 1 tablespoon = 3 teaspoons​

Answers

We are to find how many sandwiches can be made and the ingredients that has leftovers

You can make 20 sandwiches

lettuce has 1 leftover and tomato has unlimited leftover

Recipe for Sandwiches:

Bread = 2 slices

Mustard = 2 teaspoons

Salami = 3 slices

cheese = 2 slices

Lettuce = 2 leaves

Tomato = 1 slice

3 pounds of cheese = 16 × 3 slices = 48 slices2 loaves of bread = 20 slices × 2 = 40 slices

1 quart of mustard = 4 cups × 16 tablespoons × 3 teaspoons

= 192 teaspoons

lettuce = 3 heads × 15 leaves

= 45 leaves

Recipe available:

Bread = 40 slices

Mustard = 192 teaspoons

Salami = 60 slices

cheese = 48 slices

Lettuce = 45 leaves

Tomato = unlimited

Bread

Recipe available / original recipe

= 40 slices / 2 slices

= 20 servings

No leftovers

Mustard

Recipe available / original recipe

= 192/2

= 96 servings

No leftovers

Salami

Recipe available / original recipe

= 60 / 3

= 20 serving

No leftovers

Cheese

Recipe available / original recipe

= 48/2

= 24 servings

Lettuce = 45/2

= 24 remaining 1

leftover = 1

Tomato = unlimited leftovers

The ingredients available can only make 20 sandwiches equally

Read more:

https://brainly.com/question/24540733

If a car takes 4 hours to cover 80 km then the average speed of the car is _____.​

Answers

Step-by-step explanation:

Avg speed = total distance ÷ total time

= 80 ÷ 4 = 20 km/h

Answer:

80 divide by 4 so the final answer is 20km per hour

Step-by-step explanation:

speed measured as kilometer per hour. when it takes 80 km for 4 hour, all you have to do is divide 80 by 4.

hope this helps. good luck

Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.

How much interest has been earned?

Answers

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match

Given the piecewise function shown below, select all of the statements that are true.

Answers

Answer:

f(2)=4

Step-by-step explanation:

[tex]\\ \rm\longmapsto f(x)=x^2,x>1[/tex]

2>1

[tex]\\ \rm\longmapsto f(2)=2^2[/tex]

[tex]\\ \rm\longmapsto f(2)=4[/tex]

Which pattern doesn't belong?
А
B
С
D

Answers

Answer:

A is right that is my abswer

Answer:

i think the answer might be opinion C

b/c =a; c
b over c= a ; solve for c
anybody got a clue how to do this

Answers

Just based on this - if b/c = a, then c = b/a.
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