Perform the indicated operation and state the domain. Let f(x) = 3x^1/3 and g(x) = 2x^1/2 Express as (f+g)(x)

Answers

Answer 1

Answer:

[tex](f + g)(x) = 3x^{\frac{1}{3}}+2x^{\frac{1}{2}}[/tex]

[tex]x \ge 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^{\frac{1}{3}}[/tex]

[tex]g(x) = 2x^{\frac{1}{2}}[/tex]

Solving (a): (f + g)(x)

In functions:

[tex](f + g)(x) = f(x) + g(x)[/tex]

So, we have:

[tex](f + g)(x) = 3x^{\frac{1}{3}}+2x^{\frac{1}{2}}[/tex]

Solving (b): The domain of f(x)

For (f + g)(x) to be defines, the value of x must be greater than or equal to 0.

Hence, the domain is:

[tex]x \ge 0[/tex]


Related Questions

Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)

Answers

Maybe c because 7x4 28

Write a story problem to go with the multiplication problem 3 x 7/8.
Then, solve the problem.

Answers

Multiple 3 by 7 it would be 21 so 21 over 8 evaluate it .it will be2.625 the answer is 2.625 hope this helps you good luck

−3(3h−1)≤−7h−5
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

h<=4

Step-by-step explanation:

-9h+3<=-7h-5

-9h+7h<=-5-3

-2h<=-8

h<=4

Graph the inequality on the axes 2x-y>5

Answers

Answer: x>1/2y+5/2 look at the picture it going to be the graph

Step-by-step explanation: Hope this help :)

I need help with these questions (see image). Please show workings.

Answers

Answer:

Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.

As per above two statements we have:

y = 2*58° = 116°

and

z = 90°/2 = 45°

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

help please i rlly need it

Answers

The answer is C.7/3 pi ft lmk if you want more answers

ABC is the image of ABC under a translation

Answers

The translation is (x-8,y+5). To get from A to A’ you go left (x-axis) 8 times and up (y-axis) 5 times.

Someone help please

Answers

Answer:

A=(b^2)h/2

Step-by-step explanation:

Look at the image below

Answers

Answer:

your answer will be 12

Step-by-step explanation:

[tex]4x-6=42\\\\4x=42+6\\\\4x=48\\\\x=12[/tex]

have a nice day ^_^

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

∠B=∠E

7x+10=947x=94-107x=84x=8yx=8y/7x=12

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

∠A=∠D

42=4x-64x=6+424x=48x=48/4x=12

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hope it helps...

have a great day!!

Please help? If you want I can type the question in the comments too

Answers

Answer:

[tex]y = \frac{1}{2} x- 4[/tex]

Step-by-step explanation:

You can solve this by saying:

[tex]\Delta y = s \Delta x[/tex]

so in this case we have

[tex]y - (-2) = \frac{1}{2}(x- 4)\\[/tex]

Now we can simply solve for y:

[tex]y + 2 = \frac{1}{2} x- 2\\y = \frac{1}{2} x- 4[/tex]

Please I beg help show work

A 94
B 1
C 47
D 3

Answers

Answer:

x = 3

Step-by-step explanation:

15x + 2 = 9x + 20

Now solve for x

Subtract 2 from each side

15x = 9x + 18

Subtract 9x from each side

6x = 18

Divide each side by 6

x = 3

Answer: x=3

Step-by-step explanation:

When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.

9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.

9x+20= 15x+2. Subtract 9x from both sides.

20= 6x+2. Subtract 2 from both sides.

18=6x. Divide both sides by 6.

3=x

Find the value of x. Round to the
nearest tenth.
26
12
Х
x = [ ?

Answers

Answer:

x = 10.8

Step-by-step explanation:

cos 26° = x/12

0.8988 = x/12

x = 10.785

what's
[tex] \sqrt{11 \times 3 + 3} [/tex]

Answers

Answer:

6 Ans .......

Step-by-step explanation:

Data:

√11 x 3+3

Solution:

=11 x 3+3

=√33+3

= 6 Ans .........

I’ll give brainliest!! Plz answer!
Look at the image for the question

Answers

HENCE , ANSWER IS,8/9

mark me as brainlist

A shop in the mall is 7 metres by 12 metres. How much would it cost to recarpet the shop with the carpet that costs £4 per square metre

Answers

Answer:

£336

Step-by-step explanation:

cost of recarpeting = area of the shop x cost per square meter

Area of a rectangle = length x breadth

7 x 12 = 84m^2

cost of recarpeting = 84m^2 x 4 = £336

Find m Help! Will mark brainliest!

Answers

Answer:

Answer is A! 38 degrees

Step-by-step explanation:

opposite side is the same

Just read this over to see if this sounds good. It's my intro paragraph. Give me some insight if I need to change anything. Honest opinions please


People of the past and present judge each other by their class. This could relate to how much wealth they have as well as their social class or economic status. These judgments separate us as a society, and we live our lives around these judgments. Class, in simple words, is a group of people or things categorized by the quality and economic status. This relates to the novel The Great Gatsby by some of the characters in the novel, such as Tom and Daisy Buchanan who are sardonic and in love with material luxury.

·
Daisy Buchanan is a beautiful, charming woman from Louisville, Kentucky. For a while, she was with Gatsby before he went to war but later married Tom Buchanan because he had a promised wealthy life that he could provide her. In the novel, during the reunion at Daisy's house in the east egg, "'You make me feel uncivilized, Daisy,' I confessed on my second glass of corky but rather impressive claret. 'Can't you talk about crops or something?'" Nick's statement shows the wealthy class of the east egg and how Daisy flaunts her wealth to everybody instead of enjoying the people around her.

Answers

Answer:

This is amazing great job

Step-by-step explanation:

Triangle WXY, with a vertex X at (3, 0), is rotated clockwise 270° about the origin.

Which of the following rotations is equivalent 270° clockwise rotation about the origin?

clockwise 270°
counterclockwise 90°
counterclockwise 360°
clockwise 90°

Answers

A rotation of 270 would be equal to 630, 990, etc. Adding 360 degrees would result in the same rotation.

Answer:

counterclockwise 360°

Step-by-step explanation:

The ___________________________ of an object is how heavy the object is

Answers

Answer:

Mass

Step-by-step explanation:

Answer:

the answer is weight.

Step-by-step explanation:

hope this helps!! please mark brainliest.

the top of a table has a length of 7 feet and a width of 5 feet. what is the area of the table top

Answers

Answer: 35ft

Step-by-step explanation:

The area for a rectangle or square is Width times Length (W*L)

So we can take our given measurements and multiply them

[tex]5*7=35[/tex]

A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?

Answers

Answer:

464m^2

Step-by-step explanation:

Given data

Dimension of the regular playground

Length= 28m

Width= 15 m

We want to extend both sides by 1 m

Length= 28+1= 29m

Width= 15+1= 16m

Hence the area

Area=Length*Width

Area= 29*16

Area= 464m^2

The Area is 464m^2

I need help on this. Can someone explain it?

Answers

Answer:

noooooooooooooooooooooo

I’ve attached my work....
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond

plz amswer this for me​

Answers

Answer:

$5

Step-by-step explanation:

$14 x 30% (0.30) = $4.2

$14 + $4.2 = $18.2

[tex]\frac{18.2}{4}[/tex] = 4.55

Round to the nearest dollar:

4.55 = 5

PLSSS HELP GEOMETRY!!! LOOK AT IMAGE!

Answers

Answer:JI=16, JH=15, <W=37, <J=114, <I= 29

Step-by-step explanation:

When naming congruent triangles, the corresponding points are named in order from one triangle to another.

Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.

JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.

To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.

37+114+<I= 180. Combine like terms.

151+<I=180. Subtract 151 from both sides.

<I= 29

Help me Please. This Due Today.

Answers

Answer:

1/8

Step-by-step explanation:

As you can see, I unit fraction is 1/8 or any fraction with a one mostly because unit means 1.. always remember that!

The measure of one interior angle of a parallelogram is 50 degrees more than 4 times the measure of another angle
The measure of the smaller interior angle is
and the measure of the larger interior angle is?

Answers

Answer:

smaller ∡ = 26°

larger ∡ = 154°

Step-by-step explanation:

opposite angles are congruent

adjacent angles are supplementary

in this problem, the angles are supplementary

'x' = measure of smaller angle

x + 50 + 4x = 180

5x = 130

x = 26

The given information and the relationship between the angles of a

parallelogram can be used to find the interior angles.

The measure of the smaller angle is 26°The measure of the larger angle is 154°

Reasons:

A property of a parallelogram is that the diagonally opposite angles are

equal, and the adjacent angles are supplementary.

Therefore, two of the four interior angles of a parallelogram are equal.

Let x and y represent the two angles of different measure in the

parallelogram

y = 4·x + 50°

y + x = 180°

Which gives;

y = 180° - x

Therefore;

180° - x = 4·x + 50°

180° - 50° = 4·x + x

130° = 5·x

x = 130° ÷ 5 = 26°

x = 26°

y = 4 × 26° + 50° = 154°

y = 154°

Therefore;

The measure of the smaller interior angle, x = 26°The measure of the larger interior angle, y = 154°

Learn more about the properties of a parallelogram here:

https://brainly.com/question/9793817

f(x) = 9x2 - 4

Find the zeros of the function

Answers

Answer:

I believe that the answer is 14.

Step-by-step explanation:

hope it helped

????????????????????

Answers

Answer:

Step-by-step explanation:

i posted this on accident

which expression has a constant of 5?

Answers

Answer:

A

Step-by-step explanation:

i’m pretty sure it’s (A) :)

What two integers are between 50

Answers

Answer:

7 and 8!

Step-by-step explanation:

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