Find f (x )if f apostrophe apostrophe (x )equals x to the power of negative 2 end exponent comma space x greater than 0 comma space f (1 )equals 0 and f (2 )equals 0.

Answers

Answer 1

Step-by-step explanation:

Given [tex]g'(x) = g^{-2}, x> 0\ g(1) = 0 \ and \ g(2) = 0[/tex]

To get g(x), we will have to integrate g'(x)

[tex]g(x) = \int\limits {x^{-2}} \, dx\\ g(x) = \frac{x^{-2+1}}{-2+1} + C\\ g(x) = -x^{-1} + C\\g(x) = -x^{-1} + C\\[/tex]

If g(1) = 0, this means at x = 1, g(x) = 0

0 = -1⁻¹ + C

C= 1

Substitute C = 1 into the function

g(x) = -x⁻¹ + 1

If g(2) = 0, this means at x = 2, g(x) = 0

0 = -2⁻¹ + C

C= 2⁻¹

C =  1/2

Substitute C = 2 into the function

g(x) = -x⁻¹ + 1/2


Related Questions

Solve for y.
3(y-2) = y +4-2(-5y-2)
Simplify your answer as much as possible.

Answers

Answer:

y = -7/4

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answere:

its black

Step-by-step explanation:

black is better and im right

You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can take 36 pictures in 4.5 seconds. Evaluate the expression (36 divided by 4.5)/(24 divided by 3.75) to find out how many times faster your friend's camera is than your camera. *

Answers

Answer:

1.25

Step-by-step explanation:

use the equation given

I just need help filling in the rest of this table. I've done some, but I've been stuck for a while now. Huge thanks to anyone who can help!

Answers

Answer:

i think 20 is above 12 and 17 under 30 and 36 is on top of 20 the rule is .50(x) +2

Answer:

Step-by-step explanation:

c = 0.5t + 2

12 = 0.5t + 2 ⇒ 0.5t = 10 ⇒ t = 20

c = 0.5(30)  + 2 ⇒ c = 17

20 = 0.5t + 2 ⇒ 0.5t = 18 ⇒ t = 36

Carter's football team played 10 games this season. They won only 20% of their games. How many games did Carter's team lose?

Your answer:

Answers

the answer is eight (8)


Denominator of the fraction
2/5.

Denominator of the fraction 13/16.

This is a 20 point question must answer both plzzz plus Brainly

Answers

Answer:

Denominator for 2/5 is 5, and denominator for 13/16 is 16.

a temperature of 0 degrees Celsius:

a temperature of 8.5 degrees Celsius above zero:

a temperature of 7 degrees Celsius below zero:

100 points

Answers

Answer:

mark on the 0, on the 7, and half way past 8

hope this helps, pls give brainliest

Step-by-step explanation:

Quadrilaterals and other polygons

Answers

Answer:

B

Step-by-step explanation:

I got B too and I got it right on my test

whats 2+2 i honestly dont know

Answers

Answer:4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

say you have 2 cookies then get 2 more then you have 4

que es la geometria​

Answers

you need help with geometry ?
Parte de las matemáticas que estudia la extensión, la forma de medirla, las relaciones entre puntos, líneas, ángulos, planos y figuras, y la manera cómo se miden.

16/30=20/x what is x?

Answers

Answer: 75/2

Step-by-step explanation: Math

Answer:

75/2

Step-by-step explanation:

16/30=20/x

Cross multiply

16*x=(20)*(30)

16x=600

Divide both sides by 16.

16x /16  = 600 /16

x=75/2

I hope it's right

Two-thirds of the sum of three times a number and six is ten what is the number ?

Answers

Answer:

X=3

Step-by-step explanation:

2/3*(3x+6)=10

2x+4=10

X=6/2

x=3

Leo bought 18 boxes of cereal. This is 25% of the boxes at the store. How many total boxes of cereal were at the store?

Answers

Answer : There were 72 boxes at the store.
72 boxes at the store

Solve for x by answering the number below/

Answers

X = 5.

2(5)+8=4(5)-2
18=18

Answer:

The value of x is 5.

Step-by-step explanation:

In a square, all sides are equal so you can compare the expressions to solve x :

[tex]4x - 2 = 2x + 8[/tex]

[tex]4x - 2x = 8 + 2[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

Which equation is the inverse of the function
CO B 2 ☺ ☺
g(n)= -5n+2
A) g - (n)
--n+
6
1
3
B) g(n) = 1+-n
2
2
C) g(n)= -1+2
3
5
D) g(n) = -51 + 19
4
a
b

Answers

Here you go! Hope this helps

If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN

Answers

Answer:

68

Step-by-step explanation:

LM   +    MN     =   LN

x + 7  + 3x + 20 = 6x - 5

           4x + 27 = 6x - 5

          -4x         -4x      

                   27 = 2x - 5

                    +5        +5

                   32  = 2x

                   ÷2   ÷2    

                    16 = x

MN: 3x + 20

      3(16) + 20

        48   + 20

              68

Other Questions
True or False. Many considered the most appealing quality of James Monroe notto be his intelligence but his character and trustworthiness. Please i need help i give you 20 POINS if you help me the whole thing plz and Thank you. PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!! Denominator of the fraction2/5.Denominator of the fraction 13/16. This is a 20 point question must answer both plzzz plus Brainly 4. Workers can be exposed to blood or other potentially infectious materials(OPIM) if it splashes into theirA. EyeB. NoseC. A MouthD. All of the above Leo bought 18 boxes of cereal. This is 25% of the boxes at the store. How many total boxes of cereal were at the store? 9. "NEW WORLD" WAS A NAME GIVEN TO THE AMERICAS BYA.SPICE TRADERSB.SHIP BUILDERSC.AMERICAN INDIANSD.EUROPEAN EXPLORERS What are the big 3 British industries? I just need help filling in the rest of this table. I've done some, but I've been stuck for a while now. Huge thanks to anyone who can help! helpppp plesase ASAP Solve for x by answering the number below/ A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy? 1. An object carries a charge of q = +4x10-8C.How many electrons are needed to make it elec-trically neutral? State your position on Christianity and world relegionIn 12 Sentence Social equality is a condition in which human culture or systems create no differences between people in terms of _____. The Era of Good was a direct result of the War of 1812. please help! 50 points.Divide 6.410251.6109 1) Group the numerical factors together. 2) Simplify powers of 10 (exponent properties) Who were better in civilization the English or the Vikings? Explain your answer in a paragraph. Will give brainliest if explained with thought If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN Circle the function types that have an absolute maximum or minimum. Choose all that apply.linear functions constant functionsquadratic functionsexponential functionslinear absolute value functions