Mathematics College

For each pair of functions F and G below, find f(g(x)) and g(f(x)).
Then, determine whether f and g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)

For Each Pair Of Functions F And G Below, Find F(g(x)) And G(f(x)).Then, Determine Whether F And G Are

Answers

Answer 1

Answer:

FG

Step-by-step explanation:

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Answer 2

The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For each pair of functions F and G below, find f(g(x)) and g(f(x)).

a)  f(x) = x - 4 and g(x) = x + 4

Then f(g(x)) will be

[tex]\rm f(g(x)) = x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = x[/tex]

The functions f and g  are not inverse of each other.

b) f(x) = -3/x and g(x) = 3/x

Then f(g(x)) will be

[tex]\rm f(g(x)) =- x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = -x[/tex]

The functions f and g  are not inverse of each other.

More about the function link is given below.

https://brainly.com/question/5245372

Related Questions

Show or explain your answer

Answers

Answer:

This is an exponential function:

A(s) = 2^s, where A- population of alien's, s - number of splits (or hours)

For the alien population become larger than 79942, time required:

2^s > 79942log 2^s > log 79942s > log 79942/ log 2s > 16

17 hours

For the alien population become larger than 330232606, time required:

2^s > 330232606log 2^s > log 330232606s > log 330232606 / log 2s > 28

29 hours

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Answers

Answer:

number 1 is true

Step-by-step explanation:

You have $5. You pay someone $3. You receive a gift of $4.

Answers

You have $6 in the end.

5 - 3 + 4 = 6

Plz need help fast.....

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Answer:

See Below

Step-by-step explanation:

1: -9 Take the Square Root of 81 and then multiply by -1.

2: +- 1/3  1/3 *1/3= 1/9

3: -1  -1*-1*-1 = -1

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Answers

The Answer Is 35 Inches Squared

I'm really stuck and need help asap. ​

Answers

a = 8

b = 1/4

c = 1

hope this helped :)

Answer:

ax= 8x, by=1/4y and c=1 try that

from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503

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I say A because 25 is the first number and 53 is the last

Which of the following inequalities matches the
graph?

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X is less than or equal to 5 (first option)

The line is solid (which is why the sign has a line which represents equal to)

And u only have the x value which is 5 so yeah

Kitchen countertops can be
measured in millimeters.
How long is 1.50 m in mm?

Answers

Answer:

1500mm

Step-by-step explanation:

Multiply the length by 1000

therefore, 1.5×1000

what is the difference between
7z
and z to the power of 7

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Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

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Answers

Answer:

B

Step-by-step explanation:

Answer:

Its A ,

Step-by-step explanation: Done maht

A recipe for cookies calls for 2/3 cups of sugar per batch Atlanta use 4 cups of sugar to multiply batches of cookies how many batches will she make

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6

Step-by-step explanation:

Beth wants to buy a radio for $36. She
gives the cashier $40. What is her
change?

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her change is $4
40-36=4

Answer:

4

Step-by-step explanation:

15–80÷4^2×2 as a expression using the order of operations.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Do PEMDAS}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\mathsf{15 - 80\div4^2\times2}[/tex]

[tex]\mathsf{4^2}[/tex]

[tex]\mathsf{= 4\times 4}[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{15 - 80\div16\times 2}[/tex]

[tex]\mathsf{80\div16}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\mathsf{15 - 5\times2 }[/tex]

5 × 2 = 10

[tex]\mathsf{15 - 10}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
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Answers

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

4.3x10^3 in standard notation

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Answer:

4300

Step-by-step explanation:

i think this is what you want

Help please. Need answers asap.

Answers

Answer:

a) 3

b) 30

c)48.8

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At which angle will the hexagon rotate so that it maps onto itself?

Answers

Answer: 180° or 120°

Answer:

60 degrees

Step-by-step explanation:

Formula is 360/n & n= number of sides the shapes have .. so 360/6 =60

how to solve by factoring
x^2 + x = 0

Answers

Answer:

x=0 and x=-1

Step-by-step explanation:

Given: x^2+x=0

Factor: x(x+1)=0

Use Zero Product Property: x=0 and x+1=0

Therefore, x=0 and x=-1

XS30
Question Help
Swimming Pool On a certain hot summer's day, 494 people used the public swimming pool. The
daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1001.25
How many children and how many adults swam at the public pool that day?

Answers

Answer:

A=307, c=187

Step-by-step explanation:

If ADB= 15° then What is ACB

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Answer:

30 degrees

Step-by-step explanation:

<ACB is a central angle while <ADB is an inscribed angle.

Central angles are twice the size of inscribed angles.

Therefore, <ADB*2 = <ACB . 15*2=30

77 is d fewer than 16. write the sentence as an equation​

Answers

Answer:77d-16

Step-by-step explanation:

E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)

Answers

Answer:

7a+6b+1

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

Answer:

7a+6b+1

Step-by-step explanation:

2a+3b+2+3a+5b-1+2a-2b=7a+6b+1

Combine like termsUse this fact:

(+)×(+)=+ (-)×(-)=+

(+)×(-)=- (-)×(+)=-

Given that
5x : 8 = 7:2
Calculate the value of x
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

Given

5x : 8 = 7 : 2

[tex]\frac{5x}{8} =\frac{7}{2}\\cross , multiply\\\\10x = 56\\x = \frac{56}{10}\\x =\frac{28}{5}[/tex]

hope it helps :)

What is the answer to 129 x 526

Answers

129×526

=67,854

it is the correct answer

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Answer:

129×526

= 67854 is your answer

hope it is helpful to you

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Answers

Answer:

is it 56 units²? if not sorry

What's the probability of drawing a black card, putting the card back into the deck (replacement), and then drawing a red card? Write the whole decimal.

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i dont no okay please stop

How do I solve this?

Answers

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C

When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply

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I don’t see the selections.

Here are some examples:
229000–> round 230000
231000–> round 230000

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Answers

Answer:

The answer is: y = - |x+1|+1

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