Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)

Answers

Answer 1

Answer:

a)  f(5) = 24

b) The inverse of given function

              f⁻¹ ( x ) = √x+1

c)    f⁻¹ ( 8 ) = √9 =3

Step-by-step explanation:

Explanation:-

Given  f(x) = x² - 1

a)

      f(5) = 5² -1 = 25-1 =24

b)      

put y =  f(x) = x² - 1

   ⇒   y =  x² - 1

 ⇒     x² = y + 1

⇒     x = √y+1

⇒ f⁻¹ ( y ) = √y+1      ( ∵ f⁻¹ ( y) =x)

The inverse of given function

              f⁻¹ ( x ) = √x+1

c)   put x=8

             f⁻¹ ( 8 ) = √8+1 = √9 =3


Related Questions


Which ordered pair is a solution of the equation?
7x– 5 = 4y – 6

Answers

Answer:

7x-4y=-11

Step-by-step explanation:

Answer:

Neither in K.A

Step-by-step explanation:

Make sure put some choices before you ask we wouldn't know .

Thank me later !

WHOEVER ANSWERS FIRST GETS BRAINLIEST AND 100 POINTS
0.1*√20000
-0.05*√28800

Answers

Answer:

0.1*√20000 = 14.1421356237

-0.05*√28800 = -8.48528137424

Step-by-step explanation:

17 + x = 3 + 17

please help me what's the answer to this

Answers

Answer:

3

Step-by-step explanation:

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

Answer:

x=3

Step-by-step explanation:

17+x=3+17

-17          -17

x=3

Hopes this helps :)

help me, please lol i really need help

Answers

Answer:

honestly I THINK it's the first one

The problem
1/3+1 5/6=

Answers

Mixed number form:2 1/6 Decimal form:2.16 exact form: 13/6
The answer is 2.6 or 2 1/6 or 13/6

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

10 is what % of 50?
5 is what % of 50?
1 is what % of 50?
17 is what % of 50?

Answers

Answer:

10/50 X 100 = 20%

5/50 X 100 = 10%

1/50 X 100= 2%

17/50 X 100= 34%

Answer:

To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left. To calculate 5 percent of a number, simply divide 10 percent of the number by 2. To find 1% of something (1/100 of something), divide by 100. For 17 is what % of 50 is hard. So maybe this is right? We need to multiply the decimal by the number we are finding the percentage of.

Step-by-step explanation:

10% is what % of 50?

Answer: 5%

5 is what % of 50?

Answer: 10

1 is what % of 50?

Answer: 2

17 is what % of 50?

Answer: 34

Hope this helps!

what is 5 1/2+ 2 1/7​

Answers

The answer to that question is 7 9/14

Reduce the fractions using the greatest common factor 7 over 12

Answers

Answer:

7/12 cannot be reduced

Step-by-step explanation:

7 = 7

12 = 2 * 2 * 3

7 and 12 have no common factors other than 1, so the fraction 7/12 cannot be reduced. 7/12 is already written in lowest terms.

What is the volume of this rectangular pyramid?
9 mm
7 mm
7 mm

Answers

it should be 7 mm hope it helps

Solve using elimination.
5x + 7y = -6
4x + 7y = -9

Answers

Answer:

Simplifying
5x + 7y = -6

Solving
5x + 7y = -6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y

Divide each side by '5'.
x = -1.2 + -1.4y

Simplifying
x = -1.2 + -1.4y
__________________________________

Simplifying
4x + 7y = -9

Solving
4x + 7y = -9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y

Divide each side by '4'.
x = -2.25 + -1.75y

Simplifying
x = -2.25 + -1.75y

Marissa counted 29 coins in her change purse which contained d dimes and q quarters. The value of the coins is $5.00. How many dimes and how many quarters are in her change purse?

Answers

Answer:

15 dimes 14 quarters

Step-by-step explanation:

d+q=29

10d+25q=500

10d+10q=290

15q=210

q=14

d=15

Answer:

29 bucks a piece equlas is de 5 dollar tip is de dog and is the rare dollarido ok yes is good dooddood okokokokokkokokokokok so ther is you answar

Step-by-step explanation:

What is 3 1/4% of 500

Answers

Answer:

387500

Step-by-step explanation:

31/4/100×500

3100/4×500

387500

Help please............

Answers

Answer:

-15 < -9 and |-9| < |-15|  (the third one) is true.

Step-by-step explanation:

-15 is smaller than -9.

The absolute bars cancel out the negative sign.

9 is smaller than 15.

Yea 9 is smaller than 15

help

Find the product of the following :

a. (-23) x 93



b. (- 16 ) x (- 30)



c. 14 x (- 12)

Answers

Answer:

a)-2139

b)480

c)-168

Step-by-step explanation:

a)-×+=-

b)-×-=+

c)+×-=-

Answer:

(a) -2139 (b) 480 (c) -168

Step-by-step explanation:

(a)

-23 x 93 = -2,139 ( negative and a positive make a negative )

(b)

-16 x - 30 = 480 ( two negatives cancel out and make a positive!! )

(c)

14 x -12 = -168 ( negative and a positive make a negative

hope that helps!!

what is the inverse of the relation​

Answers

Y is not = to 1/4x-3

Identify what property is 17 + 54 + 6?

Identity property

distributive property

commutative property

associative property

Answers

i believe it is the commutative property, hope this helps!

The work of Islamic mathematicians, philosophers, and scientists played an essential
role in the start of

Answers

Answer:

The beginning of the philosophy of history

Step-by-step explanation:

PLZ CAN YOU EXPLAIN HOW YOU SOLVED THE ANSWERS
1) Find the mean
12,13,15,15,16,19,19,19,20,21,25
A) 17.64
B) 19
C) 15

2) find the mean
42,53,54,55,59,59,60,63,65,67,70,71,73
A) 60
B) 59
C) 60.85

3) find the mean
6,6,8,7,10,14,13,6,5,7,8,10,13,6,7
A) 6
B) 8.4
C) 7

Answers

Answer:

1: A) 17.64

2; C) 60.85

3: B) 8.4

Step-by-step explanation:

    May I have brainiest please I'm trying to level up!

                    </3 PureBeauty

Number 1 is A , Number 2 is C , And Number 3 is B. All you have to do is add up all the numbers, then divide by how many numbers there are.

8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)

Answers

Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

Answers

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

What is the driving time for a ​2900 mile trip if you drive at an average speed of 50 miles per​ hour? What is the driving time at 69 miles per​ hour?

Answers

58 hours for 50 mph and 42.03 hours for 69 mph

*GET 30 POINTS IF YOU ANSWER* NEED ASAP! Three students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.

Answers

Answer:

The equivalent equation would be 6-2+4x, which could be simplified down to 4+4x

Sophia´s expression is wrong because she did not distribute correctly.

Ursula´s expression is incorrect because she tried adding -4x with 2. This is incorrect because the 2 does not a variable or 2 does not have an x beside it, so you can not add them both together to try to get to the answer.

Step-by-step explanation:

6⁻(2-4x) Given

6(-2+4x) Distributive Property, this is when you multiply everything in the parenthesis that is outside which would be -1 multiplied by -2 and -1 multiplied by -4x.

what is the sum of 7 3/16+3/4​

Answers

Answer:

7 15/16

Step-by-step explanation:

find the same denominator which is 16

3/4x4/4 = 12/16

7 3/16+12/16= 7 15/16

probably bad explanation but hope it helps.. :)

Answer:

Mixed number-7  15/16

Exact form-127/16

Decimal-7.9375

Step-by-step explanation:

find x for me i need help.

Answers

Answer:

X is 70 degrees

Step-by-step explanation:

In a triangle, all the angles add up to 180.

We can set up an equation:

48+62+x=180

x=180-(48+62)

x=70

Helpppppppppppppppppppppppppppp

Answers

Answer:

5

Step-by-step explanation:

4^2+3^2

=16+9=25

[tex]\sqrt{25}[/tex]=5

The answer is D, 5
Hope that helps

What is the simplest form of 4/3

Answers

Answer:

43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).

You can’t simplify anymore

what would the model look like?

What is 15% of 60? Create a model to prove your answer.

Answers

What do you mean by model?

60 times .15 is 9.

A model could be like 50 circles with 9 circles filled in, or a circle with 15% shaded in.

Two machines package items for shipping. One makes packages of 17 items. The other makes packages of 13 items. Suppose both machines start a new package at the same time. It takes one second
for each machine to pack one item. How many items does each machine
pack before they again start now packages at the same time?

Answers

Answer:18

Step-by-step explanation: cuz 1 = 7 so it is 18

In 2009, the world’s largest pumpkin weighed 784 kilograms. An average sized pumpkin weighs 5,000 grams. The 2009 world-record pumpkin weighs ______ kilograms more than an average sized pumpkin

Answers

5000g = 5kg is the answer

Answer:

779 kg

Step-by-step explanation:

5,000 g = 5 kg, 784 - 5 = 779

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