What are the domain and range of g of x equals negative 3 times the square root of the quantity x minus 1? D: (1, ∞) and R: (0, ∞) D: [–3, ∞) and R: [0, ∞) D: (–3, ∞) and R: (–∞, 0) D: [1, ∞) and R: (–∞, 0]

Answers

Answer 1

The domain of the function is [1,  ∞) and the range is [0,  ∞)

How to determine the domain and the range?

The equation of the function is given as:

g(x) = 3√x - 1

The domain is the possible values of x.

Set the radicand to greater than or equal to 0

x - 1 >= 0

Add 1 to both sides

x >= 1

This can be rewritten as:

[1,  ∞)

Breakdown

g(x) = 3√x - 1

x - 1 >= 0

x >= 1

[1,  ∞)

The range is the possible values of y.

Set the radicand to 0

g(x) = 3 * 0

Evaluate the product

g(x) = 0

This can be rewritten as:

[0,  ∞)

Breakdown

g(x) = 3√x - 1

g(x) = 3 * 0

g(x) = 0

[0,  ∞)

Hence, the domain of the function is [1,  ∞) and the range is [0,  ∞)

Read more about domain and range at

https://brainly.com/question/10197594

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Answer 2

Answer:

Correct answer is D: [1, ∞) and R: (-∞, 0]

Step-by-step explanation:

Insert the given function on desmos to observe the following explanation.

The domain (x values) begin at 1, and go on to positive infinity (the squared bracket indicates a stop/start at that certain point). The range goes into negative infinity (y values) and begins at the y value of 0, so it does not go above that point on the y axis (hence the squared bracket).


Related Questions

Which additional piece of information would allow you to
prove that the triangles are congruent by the HL theorem?

Answers

Answer:

another leg

Step-by-step explanation:

bc thats fax


Hi can someone please help The inverse of a function contains the points (3,12). (-3,10). (2,6), and
(5,7). Which of the following points is contained within the original
function?
(-3,-10)
(-6,2)
(7,5)
(-12,3)

Answers

Answer:

(7,5)

Step-by-step explanation:

(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.

someone pls help it's worth tons of points​

Answers

Left to right on each row

X= 8. B= -1. M= 3. X= 4

K = 4. M= 5. N=8. X= -3

P= -7. X= -3. X=8. V=1

Q= ? . N= ? . X= 0

I can’t tell with these bottom two with the ?


If you have any other math questions like this you can use MathPapa calculator

Answer:

x = 8    b = -1     m = 3     x = 4

k = 4  m = 5     n =  8     x = -3

p = -7   x = -3    x = 8       v =1           x = 0

Step-by-step explanation:

Company had $830,000 in sales, sales discounts of $12,450, sales returns and allowances of $18,675, cost of goods sold of $390,250, and $285,520 in operating expenses. Net income equals:

Answers

Answer: $123,105

Explanation:

Sales                                                                               $830,000

Less: Sales Discounts                             $12,450

         Sales returns                                  $18,675         ($31,125)

Net Sales                                                                        $798,875

Less: Cost of Goods sold                                             ($390,250)

Gross Profit                                                                     $408,625

Less: Operating expenses                                            ($285,520)

Net income                                                                     $123,105

Which point on the number line best represents 166 ?
A
B
C
D
7
9
8
B at 7.9
Cat 8.1
D at 8.8
A at 7.3

Answers

Answer:

a and  b

Step-by-step explanation:

well i dk b

Help me solve this please!!

Answers

Answer:

The answer is

[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]

Answer:

B

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]

-------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 × [tex]\frac{1}{2}[/tex] = 9

¿Cuál es la mediana de 9,3 y 6,8 ????? or what is the median of 9.3 and 6.8?

Answers

Answer:

The median is 8.05

Step-by-step explanation:

solve the system of linear equation by graphing
y=x-7
y=-2x+5​

Answers

Answer: (4,-3)

jfwfhwghfhkhhhsfufufcbvhvus

help I need it :| :|

Answers

Step-by-step explanation:

x= 2 y = 10

x= 0 y = 8

x= 4 y = 12

sorry but the last answer is a bit glitched out

Answers

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

Help I will be marking brainliest!!!!

A. 274
B. 300
C. 306
D. 316

Answers

Answer:

300 units

Step-by-step explanation:

How much are you paying in tax on a $95 skateboard if the sales tax is 6%? (Just the tax amount!)

Answers

95(6%) = 5.7

you are paying $5.70 cents in tax.

5.70

6% of 95 is 5.7

so its $5.70

please help me i have no idea how to do this and i’m failing

Answers

Answer:

x = 6.4

Step-by-step explanation:

ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4

Answer:

x=5

Step-by-step explanation:

see image

i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.

Subtract -7x^2+4x+2−7x
2
+4x+2 from x^2-3x
2
−3.

Answers

Answer:

-8x² - 12x + 1

Step-by-step explanation:

just add or subtract values with the same terms. eg -7x + 4x ,, etc

Please help

What is 2 2/3 - 4/5

Answers

Answer:

1 13/15 yards

Step-by-step explanation:

2*3 = 6

6+ 2 = 8

8/3 * 5 = 40/15

4/5 * 3 = 12/15

40-12 = 28

28/15 = 1 13/15

Answer:

[tex]1 \frac{13}{15}[/tex]

Step-by-step explanation:

We have two fractions and are being asked to subtract them.

Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.

[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]

[tex]\frac{40}{15} - \frac{12}{15}[/tex]

Now subtract :

[tex]\frac{28}{15}[/tex]

[tex]1\frac{13}{15}[/tex]

Find the missing side length will give crown

Answers

Answer: First of all, how much is it in all?

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

Call that length x.

We have: x + 5 = 14

=> x = 14 - 5 = 9 cm

mohon bantuannya guys soal limit, thanks​

Answers

Answer:

im anserring for brainly points

Step-by-step explanation:

none honestly sorry

Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest

Answers

3 first 2 lgbdjrhfdbbnxvmglkzbldldetlfHlf flan

how do you do trigonometric Ratios

Answers

To calculate the sine of an angle, simply divide the length of the opposite side, 479.16, by the length of the hypotenuse, 610. To get the cosine, divide the length of the adjacent side, 377.5, by the length of the hypotenuse, 610.

1. What must be multiplied to (x + 1) to obtain (x2 + 4x + 3)?

2. A cube has a side measure of (5x), find the volume of the cube.

3. Find the circumference of a plate if its radius measures (x + 7).

4. A notebook cost (2x + 5) pesos while a pencil cost (x - 7) pesos. What is the total cost
of 5 notebooks and 2 pencils?

5. A box measures (a + 2) cm by (a - 2) cm by 4 cm. Find the volume of the box.

6. The cost of 1 kilo of chicken is (x2 + 8x - 3). How much a 4 kilos of chicken cost?​

Answers

Answer:

[tex]1. x + 3 \\ 2.125 {x}^{3} \\ 3.2\pi(x + 7) \\ 4.12x + 11 \\ 5.4{a}^{2} - 16 \\ 6.4 {x}^{2} + 32x - 12[/tex]

WILL MARK BRAINLIEST!

Answers

the answer is c.......

) Complete the sentence.
+) Omar can buy ?
pairs of socks.

Answers

Answer:

Omar can buy a bunch of pairs of socks.

Step-by-step explanation:

u didnt give me an equation to solve

Answer:

At most of 7

Step-by-step explanation:

The sum of 2 numbers is 5. The larger number exceeds twice the smaller number by 14. Find the
numbers.

Answers

Answer:

I think 4 i don't know I tried

PLEASE HELP ME ASAP I NEED THEM IN THE NEXT 5 MINUTES

Answers

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Hope it be correct.

un pantalón se fabrica con 3/7de tela.¿Cuántos pantalones se pueden hacer con 36 metros de tela ?​

Answers

Answer:

sam has egg plant seeds she puts the seed up her as/s hopeing for big egg plants to come out fast Forward 6 days in the past no egg plant are up her a/ss yet why is thath

Step-by-step explanation:

Find the slope!! Please helpp

Answers

Answer:

slope = 1/2

Step-by-step explanation:

the line is rising 1 box for every 2 boxes it goes over

Answer: Y=1/2x+3 (1/2 should be your slope)

Step-by-step explanation:

broooooooo help me wit this plzz man

Answers

Answer:

Ok so first one is 4/9x 2nd is (10 11/15) (x) 3rd is 9/20 and the 4th is 3 3/44

Step-by-step explanation:

Hope this helps! i learned this last semester :)

1. 2x + 7 = 2x - 7

2. 3x + 8 = -2x + 8

3. 4(x + 1) = 4x + 4

Answers

Answer:

1. 0 = -14

2. x = 0

3. 0 = 0

Step-by-step explanation:

I hope this helps have a great day

How much greater than a whole is...
A)10/7
B) 6/5
C)4/3
Will give brainiest If correct

Answers

Answer:

For A, 3/7 greater than a whole

For B, 1/5 greater than a whole

For C, 1/3 greater than a whole

Step-by-step explanation:

Subtract the number on the left from the number on the right. then put what you get over the number on the right

Answer:

Step-by-step explanation:

A) 10/7 - 1 = 10/7 - 7/7 = 3/7

10/7 is 3/7 greater than a whole.

B) 6/5 - 1 = 6/5 - 5/5 = 1/5

6/5 is 1/5 greater than a whole.

C) 4/3 -1 = 4/3 - 3/3 = 1/3

4/3 is 1/3 greater than a whole.

Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)

Answers

Answer:

[tex]p=117[/tex]

Step-by-step explanation:

Given number is [tex]p[/tex].

Two-third of the number = [tex]\frac{2}{3}p[/tex]

One-third of the number = [tex]\frac{p}{3}[/tex]

The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.

[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]

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