Mathematics College

f(x) = X/x-1 and g(x) = 1+1/x find (g. f) (x) and (f. G) (x)​

F(x) = X/x-1 And G(x) = 1+1/x Find (g. F) (x) And (f. G) (x)

Answers

Answer 1

Answer:

Given f(x)=(1−x)21 and g(x)=ln(x)

gof(x)

=g(f(x))

=ln(1−x)1/2

=21ln(1−x)

∴ For the composite function to be defined 1−x>0

x<1

∴ Domain is (−∞,1)

Related Questions

Identify the kind of sample that is described. A researcher asked a simple random sample of home-schooled children, a simple random sample of children who attend private school, and a simple random sample of children who attend public school their opinion on the new town curfew.

Answers

Answer:

stratified sample

Step-by-step explanation:

The kind of sample that is being described is known as a stratified sample. This would be the type of sample because the researchers are dividing the entire student population that exists into various different categories or groups. The groups that have been created are home-schooled students, private school students, and public school students. All of the students are still part of the student population and therefore represent their groups.

Hi can someone help me with these 2.

Answers

Step-by-step explanation:

13. 43/5 = 8 3/5

(I) he can make 8 rows .

(ii)= 3 soldiers will be left in the last row .

14. 17/2 = 8 1/2

I) she can make 8 booklets

2) yes she will have any extra sheet

3 ) 1 sheet will be left extra .

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture​

Answers

Answer:

8 pieces

Step-by-step explanation:

4/6 x 2 = 8/12

If Zachary wanted to eat the same amount. He would eat 8 pieces.

Zachary will have to eat 8 peices of pizza

Step-by-step explanation:

If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4

how would you write the fraction 5/2 as a division expression?
a. 5÷ 1/2
b. 2÷5
c. 1/2 ÷5
d. 5÷2​

Answers

the answer would be 5 divided by 2

What is 3x+6-x+4 if x is 10?​

Answers

30

Substituting x as 10:

3(10) + 6 - 10 + 4

30 + 6 - 10 + 4

30

Answer:

30 is the answer

Step-by-step explanation:

3x + 6-x + 4

3(10) + 6 -10 + 4

30 + -4 + 4

30 + 0

=30

2. Students going on a class trip each put 3 suitcases on the tour bus.
The bus driver put 2 suitcases on the bus. There were 68 suitcases
on the bus. How many students, s, were on the bus?

Answers

22 because if you take the total number 68 subtract it by 2 for the bus driver then you get 66 divide it by 3 and you get your answer 22
The answer here would be 22 hope this helps

What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?

Answers

Answer:

the second option

Step-by-step explanation:

6. -2.5(-3 + 4 + 8) oh god please help​

Answers

-16.5 hope this helped :)

Owen has 50% more cash than Sandra, and Sandra has 20% more cash than Amada. How much more cash than Amada does Owen have, if Amada has $4.35?

Answers

Answer:

39.15 :)

Step-by-step explanation:

hi I'm really in 5y
the grade elementary and the question is four fiths of a spinach casserole is leftover after Sam has lunch Jackie and Alicia each take 1/2 of the left over casserole jack eats only 2/3 of her portion what fraction of a whole casserole did jackie eat express our answer as a simplified fraction​

Answers

Answer:

0.6

Step-by-step explanation:

2/5 divided by 2/3

use reciprocal method

and make it 2/5*3/2

6/10

The water park is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 8 vans and 3 buses with 188 students. High School B rented and filled 10 vans
and 7 buses with 378 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.

Answers

to be honest I have no idea

Answer:

7 students per Van

44 Students per Bus

Step-by-step explanation:

8v+3b=188

10v+7b=378

Solve these simultaneously

there are 38 students involved in planning the homecoming parade of these students 15 are boys and 23 are girls if two members are selected to lead the parade what is the probability that both are girls

​

Answers

Answer:

about 65%

I already answered this

Find the value of x... Please look at the attachment below

Answers

x=75 since it is opposite to the 105 angle.


Which graph represents this system?
3x+2y=-6

y=-3/2x+2

Answers

Answer: look at the picture

Step-by-step explanation: hope this help:)

8x – 3y = -21
y = 5x + 7

Answers

8x-3(5x+7)=-21
8x-15x-21=-21
-7x=0
x=0
y=5(0)+7
y=0+7
y=7
(0,7)

Which type of loan is similar to a credit card, where the lender sets the
maximum amount that you can borrow based on your equity in the home?
A. Equity
B. A second mortgage
O c. An amortization
D. An equity line of credit

Answers

Answer: B

Step-by-step explanation:

Answer:

A second mortgage

0.36x=-1.8

0.36x/0.36=-1.8/0.36

x=-5
What property was applied to solve this equation below?

Answers

Answer:

b, the division property of equality

Step-by-step explanation:

You are dividing both sides of the equation by 0.36 to solve

Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?

Answers

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

Estimate the difference. 9,136 - 3,572

Answers

Answer:

5564

Step-by-step explanation:

Answer:

5560

Step-by-step explanation:

6sqrt20 + 8sqrt5 - 5sqrt45

Answers

Answer:

11.1803398875

Step-by-step explanation:

what information is necessary to prove the triangles congruent by ASA? By AAS? show work plssssss​

Answers

asa you start at the angel when it’s marked and then you move to the right. it’s simple when you understand.

Ben flew his small airplane 660 km in 6 hours flying with the wind. He flew 350 km against the
wind in 7 hours. Find the rate at which he flew in still air and the rate of the wind.

Answers

Answer:

r = 80 KM/HR

w= 30 CM/HR

Step-by-step explanation:

What is the area of the triangle below?
8 in.
17 in.

Answers

Answer:

68

Step-by-step explanation:

Answer:

68 In

8*17- now, this would give you the area of a rectangle or square. but, since this is half of a rectangle or square, you divide that answer in half, giving you your final answer of 68 square inches as the area

Step-by-step explanation:

Wen and five friends equally share 1/3 of a pan of snack bars. Which expression shows how much of the pan each person gets?

Answers

Answer:

Step-by-step explanation:

I'm pretty sure the expression is 1/3 ÷ 6

This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.

So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)

What is the correct answer?​

Answers

I believe the answer is 6, because you can add 6 + 6 to get 13, and I can see that 12 is in the decimal place, along with 30, 3 can be added twice to get 6, and since 30 has 3 in it, and can be added to 6 with 3's, that makes the answer 6.

A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?

Answers

Answer:

the answer is 1,089 since 33x33=1,089.

Step-by-step explanation:

A= x^2    x being the length of one of the sides, since all sides are the same.

1,089 is the area of the cornfield

Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ

Answers

Answer:

She typed for 60 minutes (1 hour).

Step-by-step explanation:

Do 2,700 divided by 45 to get your answer.

2,700 ÷ 45 = 60

She typed for 60 minutes (1 hour).

If the value of a quarter of a kilogram is ₹ 40, how much money will be the value of 100 grams?​

Answers

Answer:

₹16

Step-by-step explanation:

1/4 kg = ₹ 40

1kg = 40×4 = ₹160

1000g = 1kg

100g = 100/1000 kg

= 0.1kg

0.1kg= 0.1×160 = ₹16

First convert 40 grams to kg. A kilogram is 1000 grams, so you divide 40 by 1000 which is .04 kg.

40 grams * 1 kg / 1000 grams = .04 kg

(Note here that 1 kg = 1000 grams meaning that 1 kg / 1000 grams = 1; anything divided by itself is one; therefore, when I multiply by 1 kg / 1000 grams I’m not changing the value, only the units.)

Then you simply multiply the price per kg by the number of kg giving 6.6.

.04 kg * 165 / 1 kg = 6.6

(Oranges are different. You can’t compare apples to oranges.)

find the sum of the fractions below 1 2/3 + 2 3/9 =
A. 3

B. 3 5/12

C. 3 4/9

D.4

Answers

Answer:

4

Step-by-step explanation:

(1+2) +( 2/3 + 3/9)

3+1=4

D. 4
................................

Which of these strategies will you use to eliminate a variable in the system
Explain your answer:
-x+6y=8
7x-y=-2
a. Multiply the bottom equation by 6, then subtract the bottom equation from the
top equation.
b. Add the equations.
c. Multiply the top equation by 7, then add the equations.

Answers

Answer:

Step-by-step explanation:h

answer C

to eliminate x, multiply the top equation by 7 then add the equations

it is not A because if the bottom equation is multiplied by 6, the y’s will not cancel out if the bottom is subtracted from the top (since 6x - -6x is 12 not 0)

it is not B because adding the equations will not eliminate either variable

doing option C eliminates x since -7x + 7x is 0
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