Given that f(x) = x²-1,
a) Find f(5)
b) Find f-'(x)
c) Find f-'(8)

Answers

Answer 1

Answer:

step by step as shown

Step-by-step explanation:

f(x) = x²-1

f(5) = 5² - 1 = 24

f⁻¹(x)

y = x²-1

x = y² - 1    swap x and y

y² = x+1   ... x+1 ≥ 0      x≥-1

y = √x+1

f⁻¹(x) = √x+1

f⁻¹(8) =√8+1 = √9 = 3


Related Questions

These hieroglyphics on this screen give me a headache plz help

Answers

Answer:

XY = DE

Step-by-step explanation:

Help me with this!

Select all the relations that represent a function.
(1, 3), (2, 5), (2, 7) (4, 9)
(1, 3), (2, 5), (3, 7) (4, 9)
(1, 3), (1, 5), (1, 7) (4, 9)
(1, 3), (2, 3), (3, 3) (4, 3)
(1, 2), (2, 5), (2, 1) (4, 5)

Answers

Answer:
Relation #2 and #4

An animal shelter provides a bowl with 1.25 liters of water for 5 cats.


About how much water will be left after the cats drink their average daily amount of water?


Water Consumption

Animal Average Amount

(Liters per day)

Canada Goose 0.24

Cat 0.15

Mink 0.10

Opossum 0.30

Bald Eagle 0.16



liter(s) of water will be left after the cats drink their average daily amount of water.

Answers

Answer:

.50 left

Step-by-step explanation:

You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50

In a zoo theres 5 tigers, 4 lions, and 7 cheetahs. What is the ratio of Cheetah: Tiger?

7:4

4:7

5:7

5:4

7:5

Answers

Answer:

7:5

Step-by-step explanation:

there are 7 cheetahs and 5 tigers soooooo

find the value of
tan 45º . tan- 30° tan 60°​

Answers

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

Jessica is making party punch. The recipe calls for 1 3/4 cups of cranberry juice. How many fluid ounces is this?

Which student is correct?

Answers

Student A is correct, this is because 1.75 cups converts to 14 fluid ounces.

can someone say something nice about my art?
I'll give brainlyest and all ​

Answers

Answer:dang I could never draw that only stick figure, that looks like the person who drew the Mona Lisa

Step-by-step explanation:

Answer:

I mean honestly, whoever says something mean about your art is just jealous because your art is absolutely amazing!!!

Step-by-step explanation:

I hope you have a good day!

Keep up the good work!

helpppplzzzzzzzzz:)))))))))

Answers

There is nothing there answer

Answer:

The answer is 14 minutes

Step-by-step explanation:

Subtract your total and divide what you have left. $20 - $18.04 = $1.96

You spent a total of $1.96

Divide that by 0.14 how much per minute and you get 14 minutes.

Try it out! What is the slope of the line that goes through the points (6,9) and (7.1)?​

Answers

Answer:

-8

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

1-9/7-6

-8/1

-8

Best of Luck!

Answer: The slope is equal to -8

Step-by-step explanation:

Since we know all of the points we can put it into the equation y2-y1 divided by x2-x1

So we input the numbers into the equation

1-9= -8

7-6= 1

-8/1 comes out to  -8

                                                                                                         

Need help I’m not sure what it is.. it’s 8th grade math

Answers

Answer:

c is the answer to this

Step-by-step explanation:

Fiona, Peter and Angad share some sweets in the ratio 5:1:2. Fiona gets 33 more sweets than Angad. How many sweets are there altogether?

Answers

33/3=11
1 portion=11
5x11=55
11x1=11
2x11=22
55+11+22=88
ANSWER: 88 sweets in total

For every 5 sweets Fiona has, Peter has 1 sweet and Angad has 2 sweets.

If Fiona has 33 more, that means each of the 8 portions contains 11 sweets.

5-2 = 3
33/3 = 11

Fiona has 55 sweets.
Peter has 11 sweets.
Fiona has 22 sweets.

5x11 = 55
1x11 = 11
2x11 = 22

55+11+22 = 88 sweets in total

Mattie Evans drove 200 miles in the same amount of time that it took a turbo propeller plane to travel 800 miles. The speed of the plane was 150 mph faster than the speed of the car. Find the speed of the plane.

Answers

Answer:

200mph

Step-by-step explanation:

Speed is expressed using the expression

Speed = Distance/Time

For Mattie

Distance = 200miles

Speed = x

Time taken by mattie = Distance/speed

Time taken by mattie = 200/x ... 1

For the propeller plane:

Distance = 800miles

Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)

time taken by the plane = 800/x+150

Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:

200/x = 800/150+x

Cross multiply

800x = 200(150+x)

800x = 30,000 + 200x

800x-200x = 30,000

600x = 30,000

x = 30,000/600

x = 50

Get the speed of the plane

Since the speed of the plane is 150+x

Speed of the plane = 150+50

Speed of the plane = 200mph

I’ll brainlest pls help me

Answers

Not sure on tax but before tax it’s 27.30

So if I have 3000 student and 1234 leave how many should I have left

Answers

You would have 1766 Students because 3000-1234 is equal to that number

the quotient of 5 ÷A is equal _ the quotient of A ÷ 5 ​

Answers

Answer:

5÷A and A÷5=A×A and 5×5=A=25

Solve for m: 63 + 91 + 3m > 180​

Answers

Answer:5

Step-by-step explanation:

Answer:

Inequality- m>26/3

Interval- (26/3,∞)

Step-by-step explanation:

I hope that this helps..sorry it took a minute

A school has a capacity of 965 students. If 541 students are already enrolled in the school, how many students remain? Round to the nearest ten.

Answers

Answer:

420 students

Step-by-step explanation:

965-541=424

round to the nearest ten and you get 420

i hope this helped, please mark this as brainliest! thanks

Answer:

The answer is 420

Step-by-step explanation:

You first do the equation 965 - 541. The answer to that is 424, but when you round it to the nearest ten, the answer would be 420.

determine the slope of the linear graph y=12x+7

Answers

Answer:

12x

Step-by-step explanation:

n+0.5(n-1)=7 what is the answer

Answers

Answer:

n= 5

Step-by-step explanation:

n + 0.5(n-1) = 7

n + 0.5n - 0.5 = 7

1.5n = 7 + 0.5

1.5 n = 7.5

n = 7.5 × 10/1.5 × 10

n = 75/15

n = 5 ( Answer)

On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?

220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220

Answers

Answer:

A

Step-by-step explanation:

0 is sea lvl so just add and subsubtract

Answer:

A

Step-by-step explanation:

its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.

Hope that helps!

~Emma~

- 4+-3 - (-11) =
O
O 10
0-18
04

Answers

The answer is 4
-4+-3-(-11)
-4-3+11
-7+11
=4

how many times can 200 go into 487

Answers

2.435 times or if it’s to the nearest whole number then it can go into it twice. 200+200= 400. It can’t go in 3 times because that would be 600.

4)
The 8th grade students at two middle schools are raising money by washing cars.
Eastern School has already raised $625 and charges $4.50 per car. West School
charges $6.00 per car and has already raised $475. Which of the following equations
can be used to find c, the number of cars each school needs to wash so that the total
amount raised is the same for both schools?
A. 625c +4.5 = 475c + 6
B. 4.50 +625 = 6c +475
C. 625c +6=4750 +4.5
D. 4,5c 1475 = 6c 4625

Answers

Answer:

B is the only answer

Step-by-step explanation:

all other answers plug the amount of money (c) onto the whole amount that they've made, multplying in this manner would give a bigger number. B is the only excusable equation since plugging the (c) onto the West school would bring the total closer to the final amount.

Help me please thanks

Answers

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

Using a scale where 3 inches = 5 feet. If a room measures 20 feet (Width) by 22.5 feet (length), what are the dimensions of the room in inches?

A 12 inches (width) by 13 inches (length)
B 12.5 inches (width) by 13 inches (length)
C 12 inches (width) by 13.5 inches (length)
D 12.5 Inches (width) by 13.5 inches (length)​

Answers

Answer:

wnna call me and lift the lorax

Step-by-step explanation:

Answer:

12 inches by 13.5 inches

Step-by-step explanation:

3 inches= 5 feet

0.6 inch = 1 feet

20 feet=12 inches

22.5 feet=13.5 inches

please give me brainiest!!<3

mr downs bought a camera for 56$. this was 80% of the list price. what was the list price

Answers

I got 70 as the list price. If it’s multiple choice and 70 isn’t one of the answers I’m sorry

Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?

Answers

Answer:

20% of 45= 9 so you would subtract 9 from 45 getting you 39

Step-by-step explanation:

45-9=39 he would have to pay $39

herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she has of each kind.

Answers

Answer:

Herlene has 8 dimes and 17 quarters

Step-by-step explanation:

System of Equations

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

A triangle has one angle that measures 42°. Which of the following could be the measures of the other two angles?(1 point) 54° and 84° 42° and 42° 90° and 58° 102° and 216°

Answers

Answer:

54° and 84°

Step-by-step explanation:

i just took test

Find the height of an equilateral triangle with side length 8.

Answers

Answer:

U need to just do

[tex] \sqrt{3 \div 4} a {}^{2} [/tex]

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The segment from a vertex to the side opposite is a perpendicular bisector.

The equilateral Δ is divided into 2 right triangles with legs 8 and 4

let height be h, then using Pythagoras' identity

h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )

h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value

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