what is the domain of f? khan academy

What Is The Domain Of F? Khan Academy

Answers

Answer 1

Answer:

x cannot = -2

Step-by-step explanation:

if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.

Answer 2

Answer:

A

Step-by-step explanation:

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

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain

The domain of f(x) is all real values of x such that x ≠ - 2


Related Questions

If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

Rewrite [Exponential Distributive Property]:                                                  [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents:                                                   [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply:                                                                        [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify:                                                                                                            [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide:                                                                          [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

Take x^2 common and cancel.

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

Convert 555 into base five numeral system .( no link pls)............​

Answers

Presumably you mean 555 as a number in base 10.

We have

555 = 5 • (100 + 10 + 1)

… = 5 • (4 • 25 + 2 • 5 + 1)

… = 5 • (4 • 5² + 2 • 5¹ + 1 • 5⁰)

… = 4 • 5³ + 2 • 5² + 1 • 5¹

… = 4210₅

If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?

Answers

Answer:

  see attached

Step-by-step explanation:

The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.

_____

The (x, y) components are ...

  7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)

Helen has been sick and only able to work on a part time basis what type of disability may she be eligible for? What percentage should she expect the insurance policy to pay

Answers

The percentage of the amount which should be expected to be paid from the insurance policy based on the part time work Helen has been doing is:

Two-thirds of their average weekly wage

Based on the given question, we can see that partial disability benefit is the theme in play here as Helen has been sick and been working on a part time basis which helps her to be eligible for partial disability benefit.

Under this type of disability benefit, Helen is entitled to get about two-thirds of her average weekly wage because she is working part time because of her disability which is her sickness.

Read more about insurance policy here:

https://brainly.com/question/24441770

You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?

Answers

Answer:

Blue car

Step-by-step explanation:

Find the miles per gallon rate of each car

Blue car:

44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallon

Red car:

27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallon

According the rates, the blue car could travel the greater distance

HELP ME PLEASEEEE I NEED ITT !

Answers

Answer:

5.8

miles

Step-by-step explanation:

Since area is l×b or l×l since its a square(sides are equal) we can conclude that S×S=33.64

Another way to represent this is

[tex] {s}^{2} = 33.64[/tex]

to get S we can square root both sides

[tex]s = \sqrt{33.64} [/tex]

[tex] \sqrt{33.64} = 5.8[/tex]

Therefore S=5.8miles

Answer = about 5.82 miles squared

Explanation: The shape is a square meaning all of the side lengths are the same. So the square root of 33.84 is 5.82 and 5.82 to the second power is about 33.84.

i will make you brainliest

Answers

Answer:

The time in Auckland, New Zealand in the 12+ time zone: 21:00

The time in Athens, Greece in the +2 time zone:  22:00

The time in Trinidad in the -4 time zone:  05:00

The time and date in Chicago in the -6 time zone: 02:00 2016-10-19

The time and date Bangkok in the +7 time zone: 11:00 2016-10-20

The time and date in Greenwich: 06:00 2016-10-29

The time and date in Abu Dhabi in the +4 time zone: 30:00 2016-10-30

The time and date in a country in the +12 time zone: Uzbekistan 23:00 2016-11-02

The time and date in a country in the -12 time zone: Brazil 23:00 2016-11-01

The time and date in Honolulu located in the -10 time zone: 01:00 2016-11-02

When the time in Sri Lanka is 09:30 on 2017-05-02, find the time and date in Los Angeles located in the -8 time zone in the USA. 01:30 on 2017-05-02

(These are the answers i calculate i am not sure if they are fully correct)

Noice my guy (20 char limit)

which expression is equivalent to (6^5) (6^2)

Answers

6*6*6*6*6
6*6
Are equivalent to 6^5 and 6^2

Can anyone help me please?

Answers

Answer:

ñññ

Step-by-step explanation:

How do I draw perpendicular line

Answers

Answer:

Follow these steps and you will find how to make a perpendicular line.

Step-by-step explanation:

Open the compass to a radius less than half the segment.

Draw two arcs intersecting the line on both sides of the point.

Draw two arcs using the intersection points as the centers. ...

Construct a line between this point and the original point.

Hope this helped :) -ish

HELP ASAP PLEASEEE What is the equation of the line in the form y=mx+b

Answers

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

This is due tonight please tell me the answer If correct will get brainlest thing

Answers

Answer:

5⁵ is your answer bro mark me brainlist

A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?

Answers

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

Joshua found out that there is a$25 nonrefundable equipment fee in addition to the hourly rates. How does this requirement change the mathematics of the situation?

Answers

Answer:

Y=hx+25

Step-by-step explanation:

y=total price paid

h=hourly rate

x=number of hours

25=inital fee

Pls help i have to turn this in tomorrow!!! I’m not sure if i did this right, if not pls tell me how to do <3

Answers

Answer:

13

Step-by-step explanation:

Sorry no one answered in time, but you had it correct up to 26/2. 26/2 is correct (26 minutes for 2 people) but you need for 1 person so you divide by 2 to get 13 minutes per 1 person.

f(x) = -2x - 1; Find f (x - 4)

Answers

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

Helppppppp pleaseeeee

Answers

The answer would be -1, it is negative because the line is going downwards

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{36x^3y^4}}{2x^{2/3}y^{-4}}=\frac{6x^{3/2}y^2}{2x^{2/3}y^{-4}}=3x^{5/6}y^6[/tex]

a=3, b=5/6, c=6

3*(5/6)*6= 15

The Culver City Carnival had a face-painting booth. There were 8 times as many kids as adults who had their faces painted. Pick the diagram that models the ratio in the story. If 56 kids had their faces painted, how many people had their faces painted altogether?

Answers

So I think the answer would be 7 adults and altogether it would be 63 people with their face painted but I’m not really sure… sorry if it’s wrong I think it’s right tho

Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?

Answers

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

Principal = $12,000Interest rate = 4.5%Time = 4 years

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]

Future value, A = $14,310

Read more: https://brainly.com/question/16992474

How much money, in dollars, is available on his card after he takes 0
rides?

Answers

Answer:

However much he had on his card in the first place.

Step-by-step explanation:

Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.

please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Joe purchases a tray of 48 flowers to plant in his garden. He plants 3 flowers every minute. He can plant the entire tray in 16 minutes.

When setting up a graph to model how many flowers he plants over time, what would be an appropriate scale for the x-axis (horizontal axis)?

Question 10 options:

0 - 48


0 - 3


16 - 48


0 - 16

Answers

Answer:

B im very sorry if im wrong <3

Step-by-step explanation:

Answer:48

Step-by-step explanation:Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48

3. Is the triangle a right triangle? Explain.
1.9
2.7
3.23

Answers

we have: [tex](3,23)^{2} \neq (1,9)^{2} +(2,7)^{2}[/tex]

so the triangle isn't a right triangle

ok done. Thank to me :>

Find the slope of the line that passes through (-10, -52) and (56, -37).

Answers

15/66 I think you might be able to simplify

Simplify.
(7⁴)²

(EXPONENT FORM ONLY)

Answers

The answer is 7^8.
To raise a power to another power, you multiply the exponents. 4x2=8. 7^8

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes? *
1 point

Answers

Answer: 1,372
Reasoning:
980 divided by 5 = 196
196 times 7 = 1,372

The corner store sells pairs at a rate of $2.50 for per pair if Fiona has $15 how many pairs can if you fiona buy?

Answers

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

plesae urgent hurryy for brainlist !!!!!!!!!!!

Answers

C, or 5000(0.9)t is correct.

Multiplying by 0.1 would not make the car’s price go down by ten percent, but 90. Hence, C is correct.


Hope this helps!

Help Me On These 3 Please

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )

PLS help me 20 points in total

Answers

Answer:

-3.5 is the answer

I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .

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