Consider the following functions.
f(x) = 3/x, g(x) = x/(x + 3)

Find
(f ∘ g)(x).



Find the domain of
(f ∘ g)(x).
(Enter your answer using interval notation.)


Find
(g ∘ f)(x).



Find the domain of
(g ∘ f)(x).
(Enter your answer using interval notation.)


Find
(f ∘ f)(x).



Find the domain of
(f ∘ f)(x).
(Enter your answer using interval notation.)


Find
(g ∘ g)(x).



Find the domain of
(g ∘ g)(x).
(Enter your answer using interval notation.)

Answer:

For an equal number of servings, the apples will have six times as much sugar.

Step-by-step explanation:

process of elimination. All the other answer choices are incorrect and this one checks out.

Answer:

Z=25

Step-by-step explanation:

Angle C and D are Supplementary so

3z-15+7z-55=180

10z-70=180

10z=250

z=25

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

Answer: 5 classes.

Step-by-step explanation:

You can use the  rule to determine the number of classes for a frequency distribution.

The  rule says that  where

is the number of classes

is the number of the data points

We know that the number of data points is  = 20.

Next, we start searching for  so that we can get a number 2 to the  that is larger that the number of data points.

This suggests that you should use 5 classes.

Answer:

16/3 or 5.33

Step-by-step explanation:

3/4+7/12+4/1= 16/3 = 5.33

Answer:

Step-by-step explanation:

Exact Form:

16/3

Decimal Form:

5.3....

Mixed Number Form:

5 1/3

Answer:

20 / 4 =5

Step-by-step explanation:

I think

Step-by-step explanation:

-5/2

-2

-1.75

-1

1/5

1.75

9/4

Mark as brainlist . kindly

Answer:

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Step-by-step explanation:

Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:

[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Answer:

There are 8 - 1/8's in 1 (as, 8×1/8=1); and

There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).

answer:

- this is multi-step problem

16 X 1.375 = 22 songs (37.5% was added)

22 X .5 = 11 songs (50% was removed)

final answer: 11 songs.

Answer:

3/3 = 1

Step-by-step explanation:

The slope formula is..

Pick two formulas. Let's do (-5, -2) and (-2, 1)

x1  y1   x2 y2

(-5, -2)   (-2, 1)

[tex]\frac{1-(-2)}{-2-(-5)}[/tex]    =   [tex]\frac{3}{3}[/tex]  = 1

It'll work the same thing for (-2, 1) and (1,4)...

3/3 or 1 is a pattern between the points.

Answer:

B but sorry 4 the time tho

The measure of the trigonometric relation cos 60° = 1/2

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = cos 60°

And , cos θ = adjacent / hypotenuse

So , cos 60° = 1/2

Hence , the measure of cos 60° = 1/2

To learn more about trigonometric relations click :

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Answer:

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Answer:

10 percent

Step-by-step explanation:

i took a test

Answer:

As an equation, (we'll use x as the variable), that word problem is 3x+7=31.

To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

Answer:

48

Step-by-step explanation:

Count by 6

There are 18 or 20 pigs if two had 1 missing leg

Multiply the chickens by 2 or adding it by the same number since chickens have 2 legs

87

+87

-------

174

After, minus 174 from 248

That is 74

Divide by 4

Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.

An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.

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Answer:

the answer is A

Step-by-step explanation:

x + 7x + 2 = 8x + 2