The inverse of f(x) = x2 – 3 is
f-() = x2 +3
:: - (2) = V2 + 3
:: f-(x) = V2 - 3
:: f-1 (2) = 1 - 3

Answers

Answer 1

Answer:

f ⁻¹(x) = [tex]\sqrt{x + 3}[/tex]

Step-by-step explanation:

Find the inverse of f(x) = x² - 3

Substitute x with y and f(x) with x and solve for y:

x = y² - 3y² = x + 3[tex]\sqrt{y^2}[/tex] = [tex]\sqrt{x + 3}[/tex]y = [tex]\sqrt{x + 3}[/tex]

Replace y with f⁻¹(x):

f ⁻¹(x) = [tex]\sqrt{x + 3}[/tex]
Answer 2

Step-by-step explanation:

i guess maths is the hardest subject


Related Questions

what conclusions can you give why some students decided not to go to school?​

Answers

Step-by-step explanation:

There are a number of reasons why some students decide not to go to school. Some of them may be associated with family and psychological problems such as anxiety and depression, which should be investigated by trained professionals at the school if there is any suspicion of these symptoms.

There is also the possibility that students who have decided not to go to school have been victims of bullying and aggression at school, which causes fear of retaliation and psychological trauma that negatively impact the person's life.

It is important that schools provide psychological support and an active policy that combats bullying and is pro-integration of students and diversity.

help for my assighnment thanks

Answers

Answer:

D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Just trust me

Someone plz help me I will give brainliest!!

Answers

It’s pretty easy it’s 35

Answer:

it's 35

Step-by-step explanation:

3+5 = 8

35 is odd

and 3-5 = 2

How to get the simple interest

Answers

Answer:

0-o? you got my interest in you :0

Step-by-step explanation:

If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?

Answers

i think it’s 6 cups

Answer:

6

Step-by-step explanation:

72/24=3

3*2=6

A-(5,-9)
B-(-9,-5)
C-(-9,5)
D-(-5,9)

ASAP HELP!!! WILL MARK BRAINLIST!!!

Answers

it’s supposed to be (5,9) both numbers positive

can someone tell me if its proportional and why?And also where to put the points for both graphs (I NEED AS SOON AS POSSIBLE PLEASE AND DO THEM RIGHT PLSSS!!) thanks besties!!!!

Answers

Answer:

I think your trying to ask what the answer is and it would be B.

Step-by-step explanation:

Put in the X column: 0 1 2

Put in the Y column: 0 5 10

If it asks for how you know, put that it’s basically multiplying by 5s.

HELP ASAP!!

Find the length of side a

Answers

Let the sides be a, b and c

Given:
b= 6cm
c= 10cm

To find: Side a

Solution:
By Pythagoras’ theorem:
a^2+b^2=c^2
a^2+6^2=10^2
a^2+36=100
a^2=100-36
a^2=64
a= root of 64
a=8cm

Answer:

d. 8

Step-by-step explanation:

by Pythagoras theorem:

(Hypo)² = (Perp)² + (Base)²

(Perp)²= (Hypo)² - (Base)²

= 10 × 10 - 6 × 6

= 100 -36

=(underroot) 64

= 8

PLS HELP!! GIVING BRAINLST!!

Answers

Answer:

C. [tex]x=\frac{3}{2} , y=\frac{1}{2}[/tex]

Step-by-step explanation:

Both of the equations would equal to one another since they're both solving for "y".

Steps:                                     Plug in x into one of the equation:

[tex]-x+2=3x-4[/tex]                       [tex]y=3(\frac{3}{2} )-4[/tex]                  

[tex]-3x+4[/tex]  [tex]-3x+4[/tex]                         [tex]=\frac{9}{2} -4[/tex]

------------------------                        [tex]=4.5-4[/tex]    

[tex]-4x+6=0[/tex]                               [tex]y=0.5 or \frac{1}{2}[/tex]

       [tex]-6[/tex]   [tex]-6[/tex]

------------------

[tex]\frac{-4x}{-4} =\frac{-6}{-4}[/tex]

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

[tex]x=\frac{3}{2} , y=\frac{1}{2}[/tex]

8 cubed as a single power of 2

Answers

Answer:

[tex]2^{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ and so

8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]

9. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received a discount of $2 off the original price (p) of each ticket. What is the value of p?​

Answers

the answer is $7

Step-by-step explanation:

70 divided by 14 is 5.

cost would be $5 per person before discount of $2

$5 plus $2 equal $7

p= $7

3. What are the factors in the expression 4(5 + x)?

Answers

Answer:

Step-by-step explanation:

The factors are the parts that are being multiplied together.

4 and (5+x) are the two that are being multiplied and also the expression you get when you factor the distributed expression.

So the factors of 4(5+x) are:

4 and (5+x)

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

of drinks Mr. Lincoln buys.

d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

Answers

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

Find the domain and range for f(x)=pi cos(x)

Answers

Domain of f(x) = pi cos x is ALL REAL NUMBERS.

The range of f(x) = pi cos x is [-1, 1].

find the number that makes the ratio equivalent to 6:15

Answers

Answer:

2:5

Step-by-step explanation:

6 / 3 = 2

15 / 3 = 5

Which ordered pair is in the solution set of the system of inequalities
shown in the accompanying graph?*

Answers

Answer:

(-4,1)

Step-by-step explanation:

(6,1)- incorrect

(0,4) -incorrect

Try out pairs that will be inside the darker shaded color.

Hope this helps!

A gas station started the weekend selling gas for $3.79 per gallon. Towards the end of the weekend, gas was $3.49 per gallon. What is the percent decrease in gas price per gallon? Round percentage to the tenths place.

Answers

Answer: 7.9%

Step-by-step explanation:

trust me

Could someone possibly help me with this question? Thanks

Answers

Answer:

[tex]12\sqrt{2}[/tex]

good luck, hope this helps :)

6.85 x 10^8 = 685,000,000

can any of you guys help out by showing work on how this is the answer

Answers

Answer:

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100000000

100000000 x 6.85 = 685,000,000

Answer:

scientific notation. I did this a few moths ago.

Step-by-step explanation:

since it is 10^8 you're going to move your decimal as far the right as you can which then changes it to 685. x 10^6. After that you add 6 zeros (from the 10^6) and change it from a decimal to a comma to get 658,000,000... i hope this helps

Need help due today please

Answers

Answer:

f(x) = -7(x-5)^2 +5

f(-1) = -7(-1-5)^2 +5

f(-1) = -7(-6)^2+5

f(-1) = -7(36)+5

f(-1) = -252+5

f(-1) = -247

Let me know if this helps!

Answer:

-247

Step-by-step explanation:

f(-1) = -7((-1)-5)^2

James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%

Answers

The answer is A.

Step-by-step explanation:

ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.

PLEASE HELP!!! Find the slope of the line that passes through the points (-1,7) and (0,-3).​

Answers

Answer:

-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-7)/(0-(-1))

m=-10/(0+1)

m=-10/1

m=-10

Answer:

The slope is -10.

Step-by-step explanation:

Goal

Find the value of m/Find the slope.

Given

Two coordinate points which are (-1,7) and (0,-3).

Step 1

Use the slope formula which is rise over run also known as changes of y over changes of x.

[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

From the given coordinate points, substitute the values in the formula.

[tex]m = \frac{7 - ( - 3)}{ - 1 - 0} \\ m = \frac{7 + 3}{ - 1} \longrightarrow \frac{10}{ -1} \\ m = - 10[/tex]

Therefore, the value of m or slope is -10.

At a local restaurant the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 3 minutes what percentage of customers have to wait less than 28 minutes to the nearest tenth

Answers

Answer:http://avconline.avc.edu/jdisbrow/ma115/Practice%20Test%203%20with%20answers.pdf

Step-by-step explanation:

you welcome

Multiple choice answers:

3
1/3
-1/3
-3

Answers

If you have a calculator it would be easy yoo plug in y= so I’ll just help it’s C


Classify the triangle: a triangle with one right angle and no congruent sides.

Enter your answer

Answers

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

What the guy above me said is true

SOLVE THIS
I WILL GIVE BRAINLIEST

Answers

hope it becomes helpful to you ☺️☺️

good luck

4x-5
-------- = 3
5

(5) (3) = 4x-5

15 = 4x-5

15 + 5 = 4x

20 = 4x

x = 5

Find the length of a rectangle with a perimeter of 200 cm and
breadth 10 cm.

Answers

Answer:

2,000

Step-by-step explanation:

take 10×200 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the exact value?

Answers

Answer:

5/13 = 0.384615 (repeating)

Step-by-step explanation:

Hope that helps!

Kim's bedroom is 13 feet long and 11 feet wide how big is her room​

Answers

Answer:

143 square feet for area, 48 feet for perimeter

Step-by-step explanation:

Perimeter = 13 + 11 + 13 + 11 = 26 + 22 = 48 feet

Area = 13 x 11 = 143 feet square

Hope that helps!

=the awnser is 143 square feet because you times 13 times 11

About how many inches does a
20-inch diameter tir roll in one
turn? (Use 3.14 for it.)

Answers

62.8 inches ----------------------------------

Step-by-step explanation:

diameter = 20 inches

radius = diameter ÷ 2

radius = 20 ÷ 2

= 10 inches

circumference = 2π × radius

= 2 × 3.14 × 10

= 62.8 inches

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