Mathematics High School

State the domain of f•g. Then find f•g, including any additional restrictions necessary on the domain of the composition

Answers

Answer 1

Answer:

Answer is option A

Step-by-step explanation:

Answer 2

The required function [f o g(x)] is -7/√(x + 3).

The domain of the function [f o g(x)] > - 3.

What is a function?

A function is the relation between two sets. The first one is called domain and the second one is called range.

Given, f(x) = - 7/x

g(x) = √(x + 3)

Therefore, f o g(x)

= f[g(x)]

= f[√(x + 3)]

= -7/√(x + 3)

Now, the domain of f o g(x) > - 3.

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Related Questions

w(x)=5/6x-3;w(x)=-18

Answers

Answer:

x = -18

Step-by-step explanation:

Step 1: Define

w(x) = 5/6x - 3

w(x) = -18

Step 2: Substitute and Evaluate

-18 = 5/6x - 3

-15 = 5/6x

x = -18

What is 427 thousand in scientific notation

Answers

Answer:

4.27x10^2

Step-by-step explanation:

) An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour? *

Answers

Answer:

24 mph

Step-by-step explanation:

speed = 24 miles per hour
Hope this helps

a petting zoo has 5 lambs 11 rabbits 4 goats and 4 piglets. find the ratio of goats to the total number of animals. write the ratio in the simplest form then explain its meaning

Answers

Answer:

1:6 or 1/6

Step-by-step explanation:

Because the question asks for the goats to the total number of animals, you have to write the ratio in the same order. So, there are 4 goats, and to find the total number of animals, you just add every number.

5+11+4+4=24

The result would be 4:24, and because you need the ratio in the simplest form, you just divide both sides by the same greatest number. Both 4 and 24 can be divided evenly by 4. So, when you simplify, the answer comes out as 1:6. (Ratios can also be written as fractions, just so you know!! For example, the ratio 1:6 can be written as 1/6; both answers would be correct.)

Hope this helps!!!! Have an amazing day :3

The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x + 12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?

Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.

The instructor makes $_472_ a month.

Answers

Answer: 472$

Step-by-step explanation:

Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18

Answers

Answer:

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

Age Frequency (f) X

0 - 9 30 4.5 135

10 - 19 32 14.5 464

20 - 29 12 24.5 294

30 - 39 20 34.5 690

40 - 49 25 44.5 1112.5

50 - 59 53 54.5 2888.5

60 - 69 49 64.5 3160.5

70 - 79 13 74.5 968.5

80 - 89 8 84.5 676

Total 242 10389

Now, the mean of the frequency distribution is given by the following formula;

Mean =

= = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years

Find the measure of x in each figure. (Look at photo)

Answers

Answer:

x = 20

Step-by-step explanation:

these angles are supplementary, which means they add up to 180°

using this, you can make the following equation:

6x + 60 = 180

subtract 60 from both sides of the equation

6x + 60 - 60 = 180 - 60

6x = 120

divide both sides of the equation by 6

6x/6 = 120/6

x = 20

What is the slope and equation of the graph?

Answers

Answer:

Looks like the slope is -(1/2) and the equation is y= -(1/2)x + 1

Graph each system. Tell whether the system has no solution or infinitely many solutions.
x+ 2y= 10
2x + 4y= 10

Answers

Answer:

No solution, they will never meet at any point.

Step-by-step explanation:

The fraction 26/5 is between which two numbers?

Answers

Answer:

25/5 and 27/5

Step-by-step explanation:

26/5 = 4 1/5

26/5 is between 4 and 5.

HELP ME PLEASE

after you spend this amount time on deductibles, co-payments, and co-insurance for in-network care and services, your health plan pays 100% of the costs of covered benefits

A. co-insurance
B. premium
C. policy
D. max out of pocket

Answers

Answer:

i think its co-insurance

Step-by-step explanation:

the percentage you must pay for care after you've met your deductible

Nuts.com sells raw almonds for $8 per pound and roasted pistachios for $9 per pound. Christopher spends $162, before taxes and shipping, to purchase 19 total pounds of nuts. How many pounds of pistachios did Christopher purchase?

Answers

Answer:

The pounds of roasted pistachios nuts Christopher purchases is 10 pounds

Step-by-step explanation:

The given parameters are;

The price of raw almonds at Nuts.com = $8 per pound

The price of roasted pistachios at Nuts.com = $9 per pound

The amount Christopher spends on Nuts = $162

The quantity of nuts Christopher purchase = 19 pounds

Let the pounds of raw almonds nuts Christopher purchases = X and the pounds of roasted pistachios nuts Christopher purchases = Y

∴ $8·X + $9·Y = $162...(1)

X + Y = 19...(2)

Making X the subject of the formula in equation (2), we have;

X = 19 - Y

Substituting the value X in equation (1) gives;

$8·(19 - Y) + $9·Y = $162

$152 - $8·Y + $9·Y = $162

$1·Y = $162 - $152 = $10

Y = $10/($1) = 10

Y = 10 pounds

The pounds of roasted pistachios nuts Christopher purchased = Y = 10

The pounds of roasted pistachios nuts Christopher purchases = 10 pounds

X = 19 - Y = 19 - 10 = 9

X = 9 pounds

The pounds of raw almonds nuts Christopher purchases = X = 9

The pounds of raw almonds nuts Christopher purchases = 9 pounds

Four bags of chips cost $12. How much do 7 bags of chips cost?

Answers

Answer:

4 bags cost 12 = 3 each bag so 3 x 7 = 21$

Step-by-step explanation:

If four bags of chips cost $12 it would be
12/4 = $3 per bag

So 7 bags x $3 = $21

Hope this helped :)

g(t)=
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⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
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⎪
⎧

−2t(t+1)
6
5t

2t
2
+3t

,
,
,

t 12

g
(
12
)
=
g(12)=g, left parenthesis, 12, right parenthesis, equals

Answers

Answer:

Step-by-step explanation:

WHAT IS THAT

Answer:

10 (In khan academy)

Step-by-step explanation:

You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?

Answers

Answer:

Step-by-step explanation:

You have to subtract both of the numbers and simplify it.

choose the figures that are polygons

Answers

Answer:

I'm pretty sure figure A is the only one correct and also figure D

What represents 60=5 x 12?

Answers

Answer:

multiplication

Step-by-step explanation:

plz help brainliest to first answer

Answers

Answer:

63° as by calculating the total angles in triangle and by applying geometry shape knowledge

subtract 65 two times from 180

HELP PLS :)

Answers

Answer:

Step-by-step explanation:

180 - 65 = 115----> 115 - 65 = 50

4 ( b - 1 ) = -4 + 4b

Answers

No solution I’m pretty sure

Answer:

[tex]4(b - 1) = - 4 + 4b \\ or \: 4b - 4 = - 4 + 4b \\ or \: 4b - 4b = - 4 + 4 \\ or \: 0 = 0 \\ \\ therefore \: the \: answer \: is \: \: 0.[/tex]

0 is the answer.......

Thank you ☺️

How many solutions to y=2x-3 y=-x+3

Answers

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

Which equation represents a line perpendicular to the line shown on the graph?

On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three-fifths
y = one-fourth x + 5
y = negative one-fourth x minus 1

Answers

Answer:

y=4x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 added to f is the same as 385
Write the sentence as an equation

Answers

Answer:

8 + f = 385

Step-by-step explanation:

8 added to f is the same as 8 + f.

The equal sign is basically "same as"

So 8 + f is "same as" 385.

Answer:

377

Step-by-step explanation:

8 + f = 385

subtract 8 from 385

385 - 8 = f

f = 377

If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?

Answers

Answer:

It's the first one

Step-by-step explanation:

HELP ME HELP ME please !!! 10 points

Answers

Answer:

4 &15 i think

Step-by-step explanation:

Answer:

slope is rise over run (rise/run) so the slope is 3/2 and y-int is at (0,9)

Step-by-step explanation:

lol i commented it earlier^^^^^

Two sides of a rectangle are the same length, r. The other two sides are each 4 meters.
The perimeter of the rectangle is 26 meters,
Write an equation that represents
the situation.

Answers

Answer:

4 times 4 plus 10

Step-by-step explanation:

there are waaaay more ways than just this there is

( 8 times 2 ) plus ( 5 times 2 )

and

( 5 plus 5 ) plus 16

plz mark me as brainiest

Answer:

equation= 2r+8=26

r = 9

Step-by-step explanation:

i got this lesson that's the answer.

2r+8=26

-8 -8

2r = 18

18/8 = 9

r=9

Help!!! Explain too please

Answers

Answer:

5 cm/s

Step-by-step explanation:

The rate of change (ROC) is the speed at which the y variable (hieght) increases with the x variable (time). so ROC = 5.

the linear equation is y = mx + b, m is also the roc, b is the initial value, so,

if y = 60, x = 4 & b = 40, then making m the subject of equation will give the value of the ROC. i.e m = (y - b)/x = (60 - 40)/4.

Julissa has loan of $46,680. This loan has a simple interest rate of 4% per year. What is the amount of interest that Julissa will be charged on this loan at the end of one year? i need it now please

$18, 672

$1,867.20

$11,495

$48,547.20

Answers

Answer:

Step-by-step explanation:

Marcus jogged all the way around a square Park that has an area of four square miles how many miles total did Marcus jog

Answers

Answer:

1.434 miles

Step-by-step explanation:

if 1.5 miles isnt an option select 1 mile

What is the fraction 12/30 in simplest form?

Answers

Answer:

2/5

Step-by-step explanation:

You divide 12 by 6 and 30 by 6.

PLEASE MARK BRAINLIEST!!!!

The fraction 12 / 30 in the simplest form is 2 / 5.

How to solve fractions in simplest form?

Fractions are numbers that are written in 2 parts: a numerator and a denominator.

The upper part is the numerator while the lower part is the denominator.

Therefore, let's solve the fractions to it simplest form.

Simplified fractions are the fractions in their lowest, reduced and simplest form. In other words, a fraction is said to be in its simplest form if 1 is the only common factor of its numerator and denominator.

Therefore,

12 / 30 ÷ 6 / 6 = 2 / 5

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