2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?​

Answers

Answer 1

Answer:

f(g(x)) = 2x - 7

g(f(x)) = 2x - 2

Step-by-step explanation:

basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function

f(g(x)) = 2(x - 5) + 3

         = 2x - 10 + 3

         = 2x - 7

the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function

g(f(x)) = (2x + 3) - 5

         = 2x + 3 - 5

         = 2x -2


Related Questions

Chad's bedroom floor is 18 feet long and 13 feet wide. He has an area rug on his floor that is 2 feet long and 8 feet wide.

Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.

A Add 18 × 13 and 2 × 8.
B Add 18 + 13 + 2 + 8.
C Subtract 18 × 13 from 2 × 8.
D Subtract 2 × 8 from 18 × 13.
E Subtract 16 from 18 × 13.
F Subtract 13 × 8 from 18 × 2.

Answers

9514 1404 393

Answer:

D Subtract 2 × 8 from 18 × 13.E Subtract 16 from 18 × 13.

Step-by-step explanation:

To find the area not covered, the rug area must be subtracted from the floor area. Each of those areas is the product of their respective dimensions. The statements describing that subtraction are ...

  D Subtract 2 × 8 from 18 × 13.

  E Subtract 16 from 18 × 13.

NEED HELP WITH GEOMETRY

Answers

Answer:

Please look down below

Step-by-step explanation:

∠1 + 69 + 47 = 180 (because straight line)

∠1 = 180 - 116

∠1 = 64

∠2 + ∠1 + 63 = 180 (because triangle)

∠2 + 64 + 63 = 180

∠2 = 180 - 127

∠2 = 53

∠3 + ∠1 = 180 (because straight line)

∠3 + 64 = 180

∠3 = 116

∠5 = ∠4 (given)

∠5 + ∠4 + ∠3 = 180

Denote ∠5 and ∠4 as x, so 2x

2x + ∠3 = 180

2x + 116 = 180

2x = 64

x = 32

∠5 = 32, ∠4 = 32

∠6 + 136 = 180 (because straight line)

∠6 = 44

∠7 + ∠6 + 47 = 180 (because triangle)

∠7 + 44 + 47 = 180

∠7 = 180 - 91

∠7 = 89

don’t understand, plz explain very urgent

Answers

Basically you have to use trigonometry to solve this. You will be using a sine ratio. Type sin-1(36/43). Use the 2nd button to do this. Your answer should be 56.84659158 but round to 57.

Find the solution to the equation. URGENT

Answers

Answer:

x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120

aka 8(6 + x) = 120

48 + 8x = 120

you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.

8x = 72

now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.

x = 9

Solution: x = 9

If you have 9/10 of a pound of granola, how many 1/5 pound bags can you fill?

Answers

you can fill 4 1/2 bags

but why u got so much granola lol

Answer:

4 full bags and 1/2 a bag

Step-by-step explanation:

Add 3/10+ 33/100+ 1+ 7/10 ( in fraction form) (this is 4th grade not middle school) please help​

Answers

Step-by-step explanation:

Please refer to the attachment

2(a+11)= -3(16-a) one solution, no solution, or infinite solutions ​

Answers

Answer:

the answer is one solution (70)

Step-by-step explanation:

2(a+11)=-3(16-a)

distribute

2a+22=-48+3a

subtract 2a from both sides

22=-48+a

add 48 to both sides

70=a

the answer is one solution (70)

- Identify a pair of alternate exterior angles.
1
2
8
3
3
7
4
6
3
O <3 and 24
O_1 and 2
O_1 and 26
OL2 and 26

Answers

Answer:

should be angle 2 and angle 6

The answer is D can I have Brainlyest

What is the total interest earned in two years on an account containing $500 at 3.5% interest, compounded annually?

Answers

Answer: $35.6125

Step-by-step explanation:

3.5% = 0.035

Let's find the deposit amount with interest at the end of the first year:

500 + 500 · 0.035 = 517.5

Let's find the amount of the deposit with interest at the end of the second year:

517.5 + 517.5  · 0.035 = 535.6125

Find the total interest earned over two years:

535.6125 - 500 = 35.6125

The store plans to purchase the uniforms and hand out 5 uniforms to every employee, one for each day of the week uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms. How many employees can store give uniforms to?

Will the store have any uniforms left over?

Answers

The store can give 89 employees 5 uniforms each and they would have 3 uniforms left over.

The line that contains a slope of 1/2 and passes thru the point (-2,-3)

Answers

Answer:

in this question what we have to do please can you tell

PLS HELP GIVING BRAINLESS TO CORRECT PERSON PLS HELP ASAP

Answers

Answer:

Correct Answer - It shows the unit rate of the graph in miles per hour.

Step-by-step explanation:

hope this helps

what does 6 × 7/10 equal?​

Answers

Only multiply the numerator so 42/10 or 4.2
answer: 4.2
6x7=42
42/10=4.2

HELP ASAP!! What is angle 1 called??

Answers

Your right it’s an obtuse angle

What is an equation of the line that passes through the points (-7, 3)
and (-4, 3)?

Answers

Answer:

Step-by-step explanation:

(3-3)/(-4+7)= 0/3= 0

y - 3 = 0(x + 7)

y - 3 = 0

y = 3

3 days 22 hours equals how many hours

Answers

Answer:

94 hours

Step-by-step explanation:

3 days = 3×24 =72total hours= 72 + 22 = 94

please help me!!!!! its due tonight!!!!!!

Answers

Answer:check explanation below

Step-by-step explanation:

Okay so for Part A: since B is the midpoint of SM, SM=SB+BM. Therefore, you can set them both equal to each other which would be 4x=98.3. You divide both sides by 4 to get the value of x which is 24.575. Now you substitute 24.575 back into 4x and you get 98.3. Since SM=SB+BM, you do 98.3+98.3 and SM=196.6.

Part B: For part b you do the same thing as A to find the values of x y and x. You already know that x=24.575. For Y, since T is the midpoint of DS you can set ST=TD. This means that 123.4=2/5y. When you solve for y you get y=308.5. Lastly, for z since N is the midpoint of MD, MN=ND. So 102=7/10z. When you solve for z you get approximately 145.7. Now you just add them together -- 24.575+308.5+145.7= 478.775.

Part C: NT is half of SM. Since SM is 196.6, NT is 98.3. TB is half of MD. MD is 203.99 so TB is 101.995. BN is half of SD. SD is 246.8 so BN is 123.4

So, NT+TB-BN is 98.3+101.995-123.4 which equals 76.895

How many strikeouts per inning if there were 36 strikeouts in 60 innings

Answers

Answer:

0.6 strikeouts per inning

Step-by-step explanation:

36 strikeouts in 60 innings = 36/60 = 6/10 = 0.6

Answer: 0.6 strikeouts per inning

Jerry’s teacher wants him to draw a triangle. He starts by drawing a line 15 cm long and two angles 35º and 65º. What will the third angle measure?

Answers

Answer:

the total must be 180

40 + 70 + X = 180

the third one is = D.70

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

angles in a triangle add up to 180 degrees

35+65=100

180-100=80 degrees

2. Find the missing side length
of the right triangle below

Answers

Answer:

pretty sure that would be 15

Step-by-step explanation:

What is 5 divided by 1/8?

Answers

Answer: 50

Step-by-step explanation:

Its 40

Step-by-step explanation

Factor the polynomial completely.
x^4 – 256

Answers

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz

Answers

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or False:
a) The probability that an item produced by this process is defective is 0.15.
b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Answers

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

Number of defective samples = 15

Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

2. Three fourth of the students and an additional 18 students at the school purchased a spirit shirt during the last fundraiser. If 336 shirts were ordered, how many students are there in the school?​

Answers

Step-by-step explanation:

The correct answer is 237

Answer:257

Step-by-step explanation:

PLEASE ANSWER FOR BRAINLIEST!!!!!!!!!

You are choosing between two health clubs. Club A offers membership for a fee of $18 plus a monthly fee of $14. Club B offers membership for a fee of $21 plus a monthly fee of $13. After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?

In __ months the total cost of each health club will be the same.
The total cost for each health club will be $__.

Answers

Answer:

In 3 months the total cost of each health club will be the same.

The total cost for each health club will be $_60_.

Step-by-step explanation:

Pick the correct compound inequality that represent "All real numbers that
are greater than -6 but less than 6"*
-6 X 36
6 sxs-6
-6 0 -6

Answers

I think it’s b so yea

The correct compound inequality which represents the given statement is -6 < x < 6.

What are Compound Inequalities?

Compound inequalities are inequalities which are formed by combining two simple inequalities.

For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.

Given statement is,

All real numbers that are greater than -6 but less than 6.

Let x represents the numbers satisfying the inequality.

All real numbers greater than -6 can be expressed as x > -6.

All real numbers that are less than 6 can be expressed as x < 6.

These two inequalities has to be combined.

x > -6 and x < 6

-6 < x < 6, which is the compound inequality.

Hence the compound inequality is -6 < x < 6.

Learn more about Compound Inequalities here :

https://brainly.com/question/29004091

#SPJ7

Cuanto es 69 dividido entre 87647​

Answers

I think it’s 1,270.246376811594 :)

Catherine has an unpaid balance on her credit card of $345.38. She has new charges of $195.65 this month and her monthly interest rate on the unpaid balance is 1.75%. What is the total balance on her monthly bill (to the nearest whole cent)?
$561.90
$555.55
$550.50
$570.08
None of these choices are correct.

Answers

Answer:

345.38+195.65+((345.38×(0.0175÷12))

=541.53

Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.

Answers

Answer:

[tex]Total = 1.02n[/tex]

Step-by-step explanation:

Given

[tex]Earnings = n[/tex]

[tex]Raise = 2\%[/tex] --- not 296

[tex]Total = n + 0.02n[/tex]

Required

Simplify the expression for total earning

The total amount is derived from:

[tex]Total = Earnings + Raise * Earnings[/tex]

[tex]Total = n + 2\% * n[/tex]

Express percentage as decimal

[tex]Total = n + 0.02 * n[/tex]

Now, we can solve further:

[tex]Total = n + 0.02n[/tex]

[tex]Total = 1.02n[/tex]

Hence, the simplified expression is 1.02n

Answer:

1.02n

Step-by-step explanation:

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