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

Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?​

Answers

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

Please help me with this

Answers

Answer:

The length= 16cm

The width= 6cm

The two long sides are 8cm both so 8 + 8 = 16

And the two short sides are 3cm both so 3 + 3 = 6

So your length should be 16cm and your width 6cm

I HOPE THIS HELPS! ∧   ∧

                              ⊂∵→ω←∵⊃

Someone answer this pls

Answers

pretty sure it’s 3x

Answer:

-3 ? from what I got but you dont have it there

which number line shows the solution of 5x - 25 greater than -15

Answers

Answer:

you need to add number lines, but if you want the equation to be written and solved, then...

Step-by-step explanation:

5x - 25 > -15

     +25    +25

5x > 10

divide both sides by 5

x > 2

Hope this helps!!!

I need help on math please

Answers

Answer:

C the answer is C but I have to write other things to be able to submit this

Step-by-step explanation:

the answer would be C

Answer:

C

Step-by-step explanation:

The sum is the answer to a addition proble. Since it asks for the sum of 6 and one fifth you would use 6 + 1.5x to find the answer. Hope this helps you

The table shows the cost for different numbers of t-shirts.
T-shirts
Cost
3
$38.85
5
$64.75
6
$77.70
Determine if the relationship is proportional and write the constant of proportionality. If it is not
proportional, write “NP”

Answers

Answer:

proportional bc all of them are 1 shirt = 12.95

PLEASE HELP ASAP!!

j^4-5j^3+10j

Answers

Answer:

B) j(j^3-5j^2+10)

Step-by-step explanation:

Given: [tex]j^4-5j^3+10j[/tex]

Factor out j: [tex]j(j^3-5j^2+10)[/tex]

We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive

Answers

Answer:

Angle of elevation = 80°

Step-by-step explanation:

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?

To solve for angle of elevation, we use the Trigonometric function of Tangent.

tan θ = Opposite side/Adjacent side

Opposite side = Height of the tower = 217 ft

Adjacent side = 38ft

tan θ = 217/38

tan θ = 5.6315789474

θ = arc tan 5.6315789474

= 79.930937301°

Approximately = 80°

can someone please help me ASAP ​

Answers

Answer:

20 units squared

Step-by-step explanation:

Using pythagorean theorum, we can find the hypotenuse(the long side). [tex]\sqrt{2^2 + 4^2} = \sqrt{20}[/tex]. Since the area of a square is one of the sides multiplied by itself, we get 20 units squared

Solve for b.
b=ah
b=a/h
b=ha
b=h/a
Group of answer choices

Answers

Answer:

b) b=a/h

Step-by-step explanation:

A=bh

Dividing both side by h,

or, b=A/h

OR,

A=bh

or, b=A/h

Answer:

b

Step-by-step explanation:

uhm

What is f(3) if f(x) = 2x + 1?

Answers

Plug in 3 for x
f(3) = 2(3) + 1
f(3) = 6 + 1
Solution is 7

Answer:

f(3) = 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 2(3) + 1 = 6 + 1 = 7

52*6854454^((3)/(6))-:82673+476455555365555567-23627457546234*465566=?

Answers

Sawarasenai kimi wa shoujo na no?~

Boku Wa yaRcHin BiCChi nO oSu Da YO!~~

10 to the power of 19 hope this helped

James saved money regularly this year. He saved a
certain amount every month.
Below is the table of values representing the amount of money
saved.

Answers

Answer:

Where’s the table, I’ll help you if you post it so I can see

Step-by-step explanation:

ASAP pleaseeee I reallly need it ❤️

Answers

[tex]\frac{x^2}{3}-\frac{1}{2}=\frac{x}{3}[/tex]

Because there are 3 and 2 as the denominators. Find the lowest number that both 3 and 2 can divide without any quotients, which is 6.

Multiply all whole equation by 6.

[tex]\frac{x^2}{3}(6)-\frac{1}{2}(6)=\frac{x}{3}(6)\\2x^2-3=2x[/tex]

We should get like this. Then move 2x to subtract.

[tex]2x^2-2x-3=0[/tex]

Because the polynomial is a two-degree and a quadratic equation. We solve the value of x by either factoring, using the formula or completing the square.

But I'll use the Quadratic Formula instead as the factoring doesn't seem to work for the Quadratic Equation with square root answers.

[tex]x=\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

This is the formula of Quadratic Equation. Ignore the weird letter as it just randomly appears and can't be deleted.

[tex]x=\frac{-(-2)±\sqrt{(-2)^2-4(2)(-3)} }{2(2)} \\x=\frac{2±\sqrt{4+24} }{4} \\x=\frac{2±\sqrt{28} }{4}\\x=\frac{2±2\sqrt{7} }{4} \\x=\frac{1±\sqrt{7} }{2}[/tex]

Therefore, the answer is x = (1±√7)/2

Solve for m.

3m+7/2=−2m+5/2

Answers

Answer:

-1/5

Step-by-step explanation:

I have the same test

(DESMOS) A stone is thrown skyward from the top of a building. The distance in ft between the stone and the ground in t seconds is given by the function d = -16t^2 - 4t + 442. How long after the stone is thrown is it 430 ft from the ground?

Answers

0.75 seconds is your answer :)

Answer:

But how long after it was thrown does it hit the ground?

Step-by-step explanation:

I need an answer to the second question

Expressed
as a
decimal, 3% is
A
0.03
B
0.3
3.0
D
30.0

Answers

Answer:

0.03

Step-by-step explanation:

3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.

Answer:

A

Step-by-step explanation:

3/100=0.03

:))) Helps?

which of the following relations is not a function?
a. (-1, 4), (1, 2), (7, 1), (-6, 5)

b. (7, 4), (-1, 2), (1, 1), (-6, 2)

c. (-6, 4), (1, 3), (-1, 1), (7, 2)

d. (1, 4), (-1, 2), (1, 1), (-6, 2)

Answers

Answer:

d

Step-by-step explanation:

it has two 1s for 2 x values

A shopkeeper buys 10 television sets from a retailer at a rate of Euro 15,000 per set. He sells half of them at a profit of 25 % and rest half at a loss of 20%. Find the overall profit/loss faced by the shopkeeper.

Answers

Answer: Profit of $3,750

Step-by-step explanation:

Sold half of the sets at a profit of 25%;

= (15,000 * 5 sets) * 25%

= $‭18,750‬

Sold the other half at a loss of 20%;

= (15,000 * 5) * 20%

= $15,000

Profit (loss) = 18,750 - 15,000

= $3,750

Answer these PLEASE AND SHOW THE WORK YOU HAVE ONE HOUR PLEASE SAY MY GRADE

Answers

That’s a lot of pressure

Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after that. He writes the expression 10+0.5(d−1) to find the amount of money in his account after d days. Which statement about his expression is true?

Answers

Answer:

it is the sum of the initial amount and the additional amount after d days

Step-by-step explanation:

yw!!.

m=⅗ and y intercept is -6

Answers

Answer:

y=[tex]\frac{3}{5}x[/tex]-6

Step-by-step explanation:

Remember the slope-intercerpt form

y=mx+b

HELP PLEASE ONE QUESTION!!!!
Answer options:


53°



51°



64°



36°

Answers

The answer should be 53°

Solve for h! Please add an explanation if you can

Answers

Answer:

the answer to this problem is H = -12

Answer:

h=-12

Step-by-step explanation:

You have to isolate h. As such, add 1 to both sides in order to get rid of the -1 on the left side. Then, multiply by 6 on both sides in order to get h by itself.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

{12, 16, 20}

Step-by-step explanation:

12×12+16×16=20×20

pythagorean theorem

i need help with math​

Answers

Answer:

I think it may be C? I used desmos to graph it but I'm not 100%

-7x+4= 7x+4
what is the answer.

Answers

Answer:

x=0

Step-by-step explanation:

use math-way it helps

If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14


If anyone could help me please on number 4

Answers

I believe the answer would be 6 because 7x2=14 so 3 cantaloupes x 2= 6

The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to sea lvl (level) is _____ ft, and the elevation of the point farthest from sea lvl is _____ ft. (FILL IN THE BLANKS PLS HELP)

Answers

Answer:

The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Step-by-step explanation:

Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.

–42ft, –20ft, –18ft, –8ft.

From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

PLZZZZZZZZZZ HELP ME WITH THIS

Answers

Answer:

First answer:

-16y=-19x+12

16y=19x-12

y=19/16x-3/4

Second answer:

8y=-15x-9

y=-15/8x-9/8