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madreJ [45]
2 years ago
5

What is the domain of f(x) = log2(x 3) 2?.

Mathematics
1 answer:
kobusy [5.1K]2 years ago
3 0

The domain of f(x) is  x > -3.

Given that

Function; \rm f(x) = log2(x + 3) + 2

We have to determine

The domain of f(x).

According to the question

To determine the domain of the function following all the steps given below.

The domain is defined as the set, which is to be input in a function. Or, we can say input values that satisfy a function.

Function; \rm f(x) = log2(x + 3) + 2

Then,

The domain of the function,

\rm x+3 > 0\\\\x > -3

The domain is x > -3,

Hence, the domain of f(x) is  x > -3.

To know more about the Domain click the link given below.

brainly.com/question/1503067

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A pool measuring 10 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the po
igomit [66]

Based on the measurements of the pool and the path of uniform width, the area of the width and length of the path can be found to be 28.8 meters.

<h3>How to find the width and length?</h3>

First, find the area of the pool:

= Length x Width

= 10 x 26

= 260 meters ²

The area of the path can therefore be found to be:

= Total area of pool and path combined - Area of pool

= 1,092 - 260

= 832 meters²

Seeing as the path has uniform width, that means that the width is the same and the length so the width and length of the pool is:
= √area of the path

= √832

= 28.8

In conclusion, the width and length of the path are 28.8 meters.

Find out more on combined area at brainly.com/question/12966430

#SPJ1

8 0
1 year ago
A rectangular yard measuring 41ft by 60ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the
Alexandra [31]

area of yard = 41 x 60 = 2460 square feet

walk is 4 feet wide

 41-4 =37, 60-4 = 56

37*56 = 2072

2460-2072 = 388

 area of walk is 388 square feet

8 0
3 years ago
A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
Sladkaya [172]

Answer:

36 tiles

Step-by-step explanation:

Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:

81 = x²

So to find x, we must square root both sides of the equation:

\sqrt{81} = \sqrt{x^2}

x = 9

So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:

9 * 4 = 36

So there are 36 tiles along the edge of the room.

Hope this helps!

4 0
2 years ago
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
enot [183]
From the information given you have:

1) Smaller diagonal of the kite: 16 inches


2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)


3) Calculation of the height of the smaller triangle, h1:


10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6


4) Calculation of the height of the larger triangle, h2


17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2  - 8^2] = 15


5) Larger diagonal = h1 + h2 = 6 + 15 = 21


Answer: 21 inches
7 0
3 years ago
Read 2 more answers
Which of the following is the graph of:<br>(x-3)^2+(y+1)^2=9?​
Marianna [84]
<h3>Answer: Choice A</h3>

center = (3, -1)

radius = 3

==================================================

Explanation:

Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2

Then compare to the general form (x-h)^2+(y-k)^2 = r^2

You should find that h = 3, k = -1 and r = 3.

The center is (h, k) = (3,-1) and the radius is r = 3.

Choice A matches with that description.

8 0
2 years ago
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