Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)

Answers

Answer 1

Answer:

[tex]g'(3)=\frac{1}{4}[/tex]

Step-by-step explanation:

There is a rule in calculus that tells us that:

[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]

In this case, we know that f(-2)=3, therefore:

g'(3)=g'(f(-2))

So, if we used the rule, we would get that:

[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]

we know that f'(-2)=4, so:

[tex]g'[f(-2)]=\frac{1}{4}[/tex]

or:

[tex]g'[3]=\frac{1}{4}[/tex]


Related Questions

Hey cozycooljoe can you help me with this also, I am not rlly in High School I am in 7th Grade Jr. High.

Answers

Answer:

4.2 x 10^4=42000, 1.182 x 10^8 =118,200,000, 2.96 x 10^3 = 2960, 3.4 x 10^4 = 34000, 6.24 x 10^6 = 6240000, 7.2 x 10^8 = 720000000, 9.1 x 10^5 = 910000, 5.71 x 10^5 = 571000

Step-by-step explanation:

Answer: 1. 42,000 2. 118,200,000 3. 2,960 4. 34,000 5. 6,240,000 6. 720,000,000 7. 910,000 8. 571,000

Heyo~ It's me again asking for more help with school! I am behind and although I am getting caught up it is taking a long time and my quarter is about to end! How can i get more caught up in school faster?

Answers

so what i like to do is basically play a game, ill try to finish two assignments in 30 minutes, and then repeat and it’s kinda fun, you also can reward yourself with breaks

Answer:

Study, study, study! Working sucks but if you study and spend your time doing your missing work you will be fine!

Step-by-step explanation:

I NEED HELP ADAP I NEED ANSWERS IM GIVING BRAINLIST AND 10 POINTS

Answers

Answer:

if you want the area, then:

area = 35.625 in^2   or 35 5/8 in^2

if you want the perimeter, then:

perimeter = 30.05 in  or 20 1/16 in

Step-by-step explanation:

area of left side triangle = 3.75(5)(0.5) = 9.375 in^2

middle rectangle = 5.5(3.75) = 20.625 in^2

right side triangle  = 3(3.75)(0.5) = 5.625 in^2

total area = 35.625 in^2

right side^2 = (3.75)^2 + 3^2

right side = 4.80

perimeter = 5.5+4.8+8.5+5+6.25 = 30.05 in

Any help please I’m kinda lost

Answers

Answer:

371/1000

Step-by-step explanation:

The answer is 1000

(3x²-21x-24)take out the highest common factor​

Answers

Answer:

x = 8 or x = -1 is the answer

Step-by-step explanation:

3x² - 21x -24

divide with 3

x² - 7x - 8

Factorizing,

x² + x - 8x - 8

x(x + 1) -8 (x + 1)

(x - 8) (x + 1)

x = 8,-1

3(x-8)(x+1)
i need characters sjushsjsbs lol

In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020.

Answers

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.

Answers

Answer:

Due to;

Sampling variability

Step-by-step explanation:

From the question, we have;

The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%

The number of adults in the sample of the survey = 1,501 adults

The number of adults that responded that it is more enjoyable to be married than single = 1,126

According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion

Evaluate: 5^-2 plsssss

Answers

Answer:

0.05

Step-by-step explanation:

5^-2 =

Move the decimal two spaces to the right and you get,

0.05

Hope that helps!

Answer:

the exact form is 1/25 and the decimal form is 0.04 hope dis help

Step-by-step explanation:

Which function is best represented by the graph?
A. f(x)=x^2-6x-8
B. f(x)=x^2-6x+8
C. f(x)=x^2-3x-8
D. f(x)=x^2-3x+8

Answers

Answer:

The answer is B f(x)=x^2-6x+8

Can someone please help me out?

Answers

6.) D (x+7)(x+1)
7.) B (x-9)(x+8)
8.) D
9.) A
10.)A

Help please I don’t understand

Answers

Answer:

oye me puedes ayudar a mi tarea

es del cuento el príncipe feliz

Reece is putting in a circular pool in his backyard. Th
diameter of the pool is 36 ft. He has to build security
fencing around the pool. How much fencing will he
need to secure the pool?

Answers

Answer:

Step-by-step explanation:

we have to find out the circumference of the pool

C=2*3.14*r

d=36,   r=18

C=2*3.14*18=113.04 ft

C=2*3.14*r

d=36,   r=18

C=2*3.14*18=113.04 ft

Answer this question to get marked as brainliest!!!!

Answers

Answer:

right isosceles

Step-by-step explanation:

isosceles have two congruent thingys i forgot what they are called

Answer:

right isosceles

Step-by-step explanation:

The 45°-45°-90° right triangle is half of a square.

The 45°-45°-90° right triangle is sometimes referred to as an isosceles right triangle because it has two equal side lengths and two equal angles.

Calculate the volume of this cylinder, giving your answer to 1 decimal place.
20 cm
9 cm​

Answers

5.092in cubic and 1620π

On a coordinate plane, rhombus Q R S T has points (8, 20), (14, 12), (8, 4), (2, 12). How can you find the perimeter of the rhombus? Find One-half(QS)(RT). Find One-half(QT)(TS). Use the distance formula to find QT, then multiply by 4. Use the distance formula to find QT and QR, add the distances, then multiply by 4.

Answers

Answer:

C

Step-by-step explanation:

Correct on Edge 2020

Answer:The Answer C:Use the distance formula to find QT, then multiply by 4.

Step-by-step explanation:

I got answer correct in Edgeunity 2023

HELP PLS! with center P is shown. RSand overline ST tangent to circle P. What is the area of the sector formed by angle RPT , to the nearest tenth of a square inch?

Answers

Answer:

15.3 in²

Step-by-step explanation:

[tex]\frac{70}{360} * \pi * r^{2} =area\\[/tex]

70 is the angle

so using this we get 15.2716.. inch²

that rounds to 15.3 in²

The cost of a car rental is ​$35 per day plus 21 cents per mile. You are on a daily budget of ​$98. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget.

Answers

Let x = mileage
98 >= 35 + .21x
Solving for x:
98 >= 35 + .21x
63 >= .21x
300 >= x
.
This says that if the total mileage is 300 miles or less he will be within his budget.

Answer:300

Step-by-step explanation:

During an local election the ratio of teens to adults who voted was 9.3. If 732 people voted how many were teens

Answers

Answer: 549

Step-by-step explanation:

Given

The ratio of teens to adults is 9:3

The total number of people who voted is 732

let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3

So, we can  write

[tex]\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61[/tex]

No of the teens were [tex]9x=9\times 61=549[/tex]

Two people are swinging a jump rope. The height of the middle of the rope, in inches, can be modeled by a cosine function with an amplitude of 36 inches. If the minimum point that the middle of the rope reaches is 3 inches above the ground, what is the maximum point that the middle of the rope reaches?

A.
75 inches
B.
39 inches
C.
36 inches
D.
72 inches

Answers

Answer:

B. 39 inches

Step-by-step explanation:

The amplitude is the difference between the function's maximum and minimum values.

3 in. + 36 in. = 39 in.

Answer: B. 39 inches

Answer:75 inches

Step-by-step explanation: I got it right on edmentum

The average person uses 5 square feet of floor area. If we have a 20 ft by 15 ft room with walls 10 ft
high, approximately how many people could stand up in the room?
-90 people
-60 people
-30 people
-900 people

Answers

I think it’s 60 people ! if not go to that link it’ll help

Monique wants to bake a cake. She needs 2 1/8 cups of sugar, and 1 5/24 cups of flour. How many cups of ingredients will she use in all? *

Answers

Answer:

3 1/3 cups total

Step-by-step explanation:

Add together 2 1/8 cups and 1 5/24 cups.  The LCD here is 24, and so we rewrite 2 1/8 cups as 2 3/24 cups.

Adding 2 3/24 cups and 1 5/24 cups, we get 3 8/24 cups,

which simplifies to 3 1/3 cups total

On a certain hot​ summer's day, 269 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled 504.50.How many children and how many adults swam at the public pool that​ day?

Answers

Answer:120 children and 388 adults bought tickets for the swimming pool

Step-by-step explanation:

Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being

c

+

a

=

508

Find the circumference of the circle. Leave your answer in terms of n.

Answers

Answer:

Step-by-step explanation:

Diameter d = 22 TD

Circumference = πd = 22π yd

thisss guyyy iss looooking fine . but why so serioussss hahahaha. when guysss be looking at you like this. does it make you blush what do u doo.

Answers

Answer:

no- it doesnt make me blush- and uh- i look at them and then away- and then start to draw or read-0-0

Step-by-step explanation:

somebody plz help me

Answers

Answer:

i think its B

Step-by-step explanation:

I agree the answer should be B

Please help i need to know this answer ASAP

Answers

I think B, but not 100% sure.

CAN SOMEONE HELP ME WITH #2 PLEASE????

Answers

Answer:

Step-by-step explanation:

what is a translation graph

Answers

Answer:A TRANSLATION OF A GRAPH

Step-by-step explanation:is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function.

How many degrees is

Answers

answer: 122°

explanation: 180-58=122

help!! asap

solve the equation

Answers

Answer:

c

Step-by-step explanation:

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