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aksik [14]
3 years ago
11

The graph of a function f(x) is shown below: What is the domain of f(x)?

Mathematics
1 answer:
Pie3 years ago
8 0

The domain is the scope of the x values. In this case (-2,-1) is a hole, so x>-2 is one end of the domain, while (3,3) is defined. So the domain using interval notation is (-2,3] which can also be expressed -2 < x ≤ 3, answer option 1

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Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.
alexira [117]

Answer:

The correct answer is if you want no roots in the denominator, the correct answer is \frac{2x}{y}* \sqrt[3]{2y^{2} }

Step-by-step explanation:

The mistake is that you can't take a cube root of a square at step 3 when y^{2} is taken out.

5 0
2 years ago
Tyrone mixed 7/12 quart of red psont with 1/12 quart of yellow paint how much paint does tyrone have in the mixture
Zarrin [17]
Hello there.

<span>Tyrone mixed 7/12 quart of red paint with 1/12 quart of yellow paint how much paint does Tyrone have in the mixture?
</span><span>
Answer: In this question you need to add together the fractions provided.
The sum would look like this:
</span>\frac{7}{12} + \frac{1}{12} =
<span>Since the denominators are the same , it is simple to add.
All you need to do is 7 + 1 = 8.
Therefore the end result after solving would look like.
</span>\frac{7}{12} + \frac{1}{12} = \frac{8}{12}.
<span>Tyrone has 8/12 quarts of paint.

Hope This Helps You!
Good Luck Studying ^-^</span>
3 0
3 years ago
Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
Hitman42 [59]

Answer:

(f\circ g)(x)= x + 4

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

(f\circ g)(x)=f(g(x))= - (-x -1) + 3

Removing parentheses:

(f\circ g)(x)= x + 1 + 3

Simplifying:

\mathbf{(f\circ g)(x)= x + 4}

5 0
3 years ago
How do I divide 2x^4 + 5x^3 + x - 1 by x^2 - 2x + 1 using long division?
Elza [17]

Answer: 2x^2+ 9x +16+ 24x- 17/ x^2- 2x +1

Step-by-step explanation:

7 0
3 years ago
Have to find out what the angle x is respond ASAP pls
Sergeeva-Olga [200]

Answer: Angle x equals 19 degrees

Step-by-step explanation: We have two polygons, one with five sides and the other with eight sides. The question states that the pentagon has exactly one line of symmetry which means the line that runs down from point D to line AB divides the shape into exactly two equal sides. Hence angle A measures the same size as angle B (in the pentagon).

First step is to calculate the angles in the pentagon. The sum of angles in a polygon is given as

(n - 2) x 180 {where n is the number of sides}

= 3 x 180

= 540

This means the total angles in the pentagon can be expressed as

A + B + 84 + 112 + 112 = 540

A + B + 308 = 540

Subtract 308 from both sides of the equation

A + B = 232

Since we have earlier determined that angle A measures the same size as angle B, we simply divide 232 into two equal sides, so 232/2 = 116

Having determined angle A as 116 degrees, we can now compute the value of angle A in the octagon ABFGHIJK. Since the figure is a regular octagon, that means all the angles are of equal measurement. So, the sum of interior angles is given as

(n - 2) x 180 {where n is the number of sides}

= 6 x 180

= 1080

If the total sum of the interior angles equals 1080, then each angle becomes

1080/8

= 135 degrees.

That means angle A in the octagon measures 135, while in the pentagon it measures 116. The size of angle x is simply the difference between both values which is

x = 135 - 116

x = 19 degrees

3 0
3 years ago
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