Identify The domain of the rational function, g(x)= 1/x+3
A (-∞, ∞)
B (-∞, 3)U(3, ∞)
C (-∞, -3]U[-3, ∞)
D (-∞, -3)U(-3, ∞)

Answers

Answer 1

Answer:

The domain is (-∞ , -3) ∪ (-3, ∞) D

Step-by-step explanation:

The domain of the rational fraction is the values of x which make the fraction defined. That means the domain does not contain the values of x which make the denominator equal to 0.

∵ g(x) = [tex]\frac{1}{x+3}[/tex]

The denominator = x + 3

→ Equate the denominator by 0

∵ x + 3 = 0

→ Subtract 3 from both sides

∴ x + 3 - 3 = 0 - 3

x = -3

→ That means the domain can not have -3 because it makes the denominator

   equal to 0

∴ The domain is all values of real numbers except x = -3

∴ The domain = {x : x ∈ R, x ≠ -3}

The domain = (-∞ , -3) ∪ (-3, ∞)


Related Questions

Area of a right triangle (7,6)

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Answer: The answer is 21

Step-by-step explanation:

The area  formula is 1/2 bh so if you take if you put the numbers into formula it = a=1/2(6)(7)

3/5 divided by what makes 3/10
I will make it the brain lieset answer

Answers

Answer:

5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We will use the KFC method to figure out the answer:

3/5 ÷ 2/1

We keep the first fraction

3/5 ÷ 2/1

Flip the last fraction (swap the numbers)

3/5 ÷ 1/2

Change the sign (to a multiplication symbol)

3/5 x 1/2

Then, finally, to solve for the answer, we multiply across (3 x 1 and 5 x 2).

3 x 1 = 3

5 x 2 = 10

The answer is 3/10 because it cannot be simplified any further.

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Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

3x−2/4=10
If you have a decimal answer, round to the nearest tenth!

Answers

Answer:

Step-by-step explanation:

3

1

2

4

=

1

0

3x-1 \cdot \frac{2}{4}=10

3x−1⋅42​=10

Solve

1

Divide the numbers

3

1

2

4

=

1

0

3x-1 \cdot {\color{#c92786}{\frac{2}{4}}}=10

3x−1⋅42​=10

3

1

1

2

=

1

0

3x-1 \cdot {\color{#c92786}{\frac{1}{2}}}=10

3x−1⋅21​=10

2

Multiply the numbers

3

Add

1

2

\frac{1}{2}

21​

to both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

Solution

=

7

2

x=\frac{7}{2}

x=27​

Use the triangle angle-sum theorem and other angle relationships to find the missing angle measures

Answers

First one is 50 degrees
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Second is 40 by the vertical angles theorem

Finally the third one is 45

I need help please ​

Answers

Answer: SAS

Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.

Please help me out with this question please

Answers

4-3x=+10 pls mark brainliest
4-3*x=x+10 hope this helped

Spencer added 13 to the product of 224 and 16. What is the sum?

Answers

Answer:

256

Step-by-step explanation:

224+16=240

240+16=256

224 + 13 = 237

237 + 16 = 253

Answer = 253

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Answers

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Answers

What are the options

A shop sells flower fertiliser in 25kg bags and in 50kg bags.
One week, the shop has two special offers for the fertiliser.
Offer A:
Offer B:
25 kg
50 kg
2 bags for £35
3 bags for £92.50
Which offer (A or B) is the best value for money?
You must show how you get your answer.​

Answers

Offer A is correct sir

Step-by-step explanation:

!


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Answers

4/16 = 0.25 books per month

Answer:

0.25

Step-by-step explanation:

What is the circumference of the circle below?

Answers

Answer:

Step-by-step explanation:

circumference C=2*3.14*r

C=2*3.14*18m=113.04 m

Answer:

113.04 meters.

Step-by-step explanation:

Use the formula

2 times pi times r

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Answers

Answer:

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Step-by-step explanation:

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??? pls answer

Answers

Answer:

no

Step-by-step explanation:

y = -2x + 16

-2 = -2(10) + 16

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which is wrong

Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.

y = -2x + 16 > -2 = -2(10) + 16

Now, solve.

-2 = -2(10) + 16 > -2 = -20 + 16  - Start by multiplying out parenthesis.

-2 = -20 + 16 > -2 = -4 - Add.

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The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.

What is the measurement of

Answers

y= 53°
Hope this helps and good luck u can do this

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Answers

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Step-by-step explanation:

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The tallest building downtown is 40 stories and the shortest is 30 stories.

Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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hope that helps

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

ANSWER

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Answers

Answer:

$0.75

Step-by-step explanation:

Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.

4.50/6=0.75

Thus, $0.75 is your answer.

(Please Mark Brainliest.)

If y=32 when x=8, find y when x=30.

Answers

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*How to solve*

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Step 2: Multiply by y

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Hope this helps comment below for more questions:)

An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent? (Calculate the discounted cost first and then find the tax on the discounted cost.)

Answers

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Answers

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Best of Luck!

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Step-by-step explanation:

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