How to find a domain and range and express it in a function

Answers

Answer 1

Answer: To find the excluded value in the domain of the function, equate the denominator to zero and solve for x .

Step-by-step explanation:

For example, in the problem below The domain of the function is set of real numbers except −3 . The range of the function is same as the domain of the inverse function. So, to find the range define the inverse of the function.

How To Find A Domain And Range And Express It In A Function

Related Questions

Graph the line that passes through the points (-4, -6) and (-2, -7) and
determine the equation of the line.




143153363335

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

Slope: ( -7 - - 6 )/(-2 - - 4) = (-7+6)/(-2+4) = -1/2

Point : (-4,-6)

y - - 6 = - 1/2(x - - 4)

y+6= - 1/2(x+4)

y+6= - 1/2x - 2

y = - 1/2x -2 -8

y = -1/2x - 8

An expression is shown below.
6ab^2 + 9a^2b
Which of the following shows an equivalent expression?

Answers

Answer:

C. 3ab ( 2b + 3a )

Step-by-step explanation:

substitution

Hi! I'm happy to help!

To first solve this, Let's see if we can simplify our expressions using the order of operations: our original expression cannot be simplified. The first expression cannot be simplified. The second expression we can multiply the outside by the parenthesis by the inside, same with the third and fourth.

(make sure everything outside of the parenthesis is being multiplied by each part inside of the parenthesis)

9a²b²

9a²b²

3ab(3b+2a)

ab(9b+6a)

b(9ab+6a²)

9ab²+6a²b

3ab(2b+3a)

ab(6b+9a)

b(6ab+9a²)

6ab²+9a²b

3a²b²(2b+3a)

a²b²(6b+9a)

b²(6a²b+9a³)

6a²b³+9a³b²

Now that we have all expressions fully simplified, let's compare to see which one matches.

Our first expression is nowhere close to what our original expression is, 1 is incorrect.

Our second expression is close, but it has the 9 and the 6 flipped, even if we rearrange the expression like this, 6a²b+9ab², it still doesn't match, so 2 is also incorrect.

Our third expression has the correct numbers, variables, placement, and exponents, so 3 is correct.

Our fourth expression has incorrect exponents, the expression made every variable multiplied by ab an extra time, so 4 is incorrect.

In summary, you should pick number 3, because it is equivalent.

I hope this was helpful, keep learning! :D

9.376 9.18 9.51 9.3 in order

Answers

Answer:

1. 9.18

2. 9.3

3. 9.376

4. 9.51

Step-by-step explanation:

What is -x2+2-1+6x2-4x2?

Answers

Answer:

x^2+1

Step-by-step explanation:

Tomas works as an underwater photographer. He starts at a position that is 19 feet below sea level. He rises 8 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.

Answers

Answer:

-19 + 8 - 18 = -29

he is 29 feet below sea level when he takes the photo

Step-by-step explanation:

The radius of the earth is about 4,000 miles. A) what is the approximate diameter of the earth? b) what is the approximate distance around the earth at the equator?

Answers

A) diameter = radius x 2

Diameter = 4,000 miles x 2 = 8,000 miles

B) distance around the Earth is the circumference.

Circumference = pi x diameter

Circumference = 3.14 x 8,000 = 25,120 miles

Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?

Answers

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

What is 150% of 2/3km

Answers

Answer:

150% of 2/3 km

150/100 * 2/3

50/50

= 1 km

what property is being used in 2a+5a=(2+5)a

Answers

Answer:

distributive property

The midday temperature, in Celsius degrees (°C), on four successive days is 1.5, -2.6, – 3.4 and 0.5. Calculate the mean temperature.

thanks for anyone who helped <3 ​

Answers

Answer:

-1 C

Step-by-step explanation:

Mean = Average

To find the mean simply add all the values and then divide that by the number of given values

So first add the 4 values together

1.5 + -2.6 + -3.4 + .5 = -4

Then divide the sum by the number of values ( there are 4 values )

-4 / 4 = -1

The mean temperature is -1

Add.
-1 3/4 + (-3/5) + (-1/4)
Enter your answer as a simplified mixed number in the box.

Answers

Answer:

-2 3/5

Step-by-step explanation:

that is the answer yep

A street map uses a scale of 1 cm: 200 m.

a) Simplify this ratio.

B) Find the actual distance, in kilometres, represented by each scaled distance.
i) 7 cm
ii) 9.5 cm
iii)12.4 cm

C) Find the scaled distance, in centimetres, used to represent each actual distance,
i) 18 km
ii) 1500 m
iii) 9.6 km

Answers

Answer:

B)

1400m

1900m

2480m

C)

90cm

7.5cm

4.8cm

find the distance between two points: (2,3) (-5,8)

Answers

Answer:

distance formula attached...

it's approximately 8.6

Step-by-step explanation:

Answer:

Distance = √74 or 8.6

Step-by-step explanation:

d = √(x2 − x1)^2 + (y2 − y1)^2

d = √(-5 − 2)^2 + (8 − 3)^2

d = √-7^2 + 5^2

d = √49 + 25

d = √74

d = 8.6


PLEASE HELP ME!!
I'm confused on this question and some other graph questions in my homework.
Please check my questions and answer them of you can
Thank You​

Answers

It’s 18. 1/2 b*h b=4 h=9

A cell phone tower casts an 80-foot shadow. At the same time, a 6-foot fence
post casts a shadow of 4 feet. What is the height of the tower?

Answers

The height of the tower is 120 feet

How to determine the height of the tower?

The given parameters can be represented using the following ratio

Ratio = Height : Shadow

So, we have:

Tower : 80 ft = 6 ft : 4 ft

Express as fraction

Tower/80 = 6/4

Multiply both sides by 80

Tower = 120 feet

Hence, the height of the tower is 120 feet

Read more about equivalent ratio at:

https://brainly.com/question/2328454

#SPJ1

Determine the largest integer value of xx in the solution of the following inequality.[tex]2x-2\leq 11[/tex]

Answers

Answer:

6

Step-by-step explanation:

Add 2 to both sides, then divide both sides by 2.

[tex]2x \leq 13 \\x \leq 13/2[/tex]

x is less than or equal to 13/2, So the largest value is 13/2, or 6.5. Meaning the largest integer value is 6

what is the solution to the compound inequality in interval notation​

Answers

Answer:

First choice is the right answer (-∞, -9] or (2, ∞)

Step-by-step explanation:

I. Solve 1st problem 2(2x - 1)  > 6

                 4x-2 > 6

                 4x > 6+2

                  x > 2

II. Solve 2nd problem x + 3 <=  -6

                 x <= -6-3

                 x <= -9

III. Prove the answer

         if x > 2 then x = 3

          2( 2(3)-1 ) > 6

          2(5) > 6

           10 > 6  so the answer is true

     

         if x <= -9 then x = -9

           -9 + 3 <= -6

                  -6 <= -6 so the answer is true

Hope that help :D

Please help
I’ll give brain-lest
I promise

Answers

Answer:

x = 12

Step-by-step explanation:

27 + 3x - 1 = 5x + 2

27 + (3x - 3x) - 1 = (5x - 3x) + 2

27 - 1 = 2x + 2

26 = 2x + 2

(26 - 2) = 2x (+ 2 - 2)

24 = 2x

24/2 = 2x/2

12 = x

x = 12

27 + 3x - 1
27+3 =30
30x-1
X=30-1
X=29


Hope this helps
Please mark me as braialist

Find the midpoint in geometry.

Answers

(3,6)(3,-2)

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{3+3}{2},\dfrac{6-2}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{6}{2},\dfrac{4}{2}\right)[/tex]

[tex]\\ \rm\longmapsto (x,y)=(3,2)[/tex]

While playing an online game, Reece scored 48
points. But then, lost 19 points in each of the next
two rounds. How many points does Reece have
now?

Answers

Answer:

48-(19×2)

=48-38

=10

Reece has 10 points

Answer:

Reece now has 10 points.

Step-by-step explanation:

19 x 2 = 38, 48 - 38 = 10.

Name the pair of opposite rays with endpoint N.

Answers

Answer:

Possible Answers: NA and NX or NM and NC.

Step-by-step explanation:

PLS MARK ME BRAINLEIEST AND FLW ME

at a certain certain point in time the sun of an alien world is directly overhead that
world's equator

Answers

I do not understand, but I’d like the points.

>

PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines

Answers

Answer:

Parallel lines

Step-by-step explanation:

A=1/2 h (b+c) solve for b

Answers

Hi ;-)

[tex]A=\frac{1}{2}h(b+c) \ \ /\cdot2\\\\h(b+c)=2A \ \ /:h; \ h\neq0\\\\b+c=\frac{2A}{h} \ \ /-c\\\\\boxed{b=\frac{2A}{h}-c}[/tex]

Answer:

[tex]a = \frac{1}{2} h(b + c) \\ \frac{2a}{h} = b + c \\ \frac{2a}{h} - c = b \\ thank \: you[/tex]

When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?

Answers

A function is positive where it is above the x-axis

The valid solution for positive demand are; t = 3, and t = 2

The reason the above values are correct is as follows:

Known parameters:

The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]

Where;

C(t) = The demand of the cellphone (in millions of people)

t = The number of months

The condition positive demand is C(t) ≥ 0

Therefore;

[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]

[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]

[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]

t² + 4·t - 12 ≤ 9

t² + 4·t - 12 - 9 ≤ 0

t² + 4·t - 21 ≤ 0

(t - 3) × (t + 7) ≤ 0

∴ t ≤ 3, or t ≥ -7

At t = 2 < 3, we have;

C(2) = -√(2² + 4×2 - 12) + 3 = 3

At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)

Therefore, the valid solution for positive demand are;

t = 3, and t = 2

Learn more about the functions here:

https://brainly.com/question/24249596

Answer:

3,3

Step-by-step explanation:

-6, 20, 4.3, -59/-9
Order from least to greatest

Answers

-59 -9 -6 4.3 20 there

write the 3 terms of ( 2a+ax)^5 given the first terms in the expansion (b +2x) (2+ ax)^5 are 96 - 176x+cx^2. find the values of a,b,c

Answers

Answer:

a^5x^5, 10a^5x^4, 40a^5x^3

Step-by-step explanation:

Use pascal's triangle for the first one

(2+x)^5 * a^5

= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...

= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...

Where is the blue dot on the number line?
-1.05
-1.1
-1.15

Answers

Answer:

-1.13

Step-by-step explanation:

Each space or unit in the number line is equidistant to 0.01.

Answer:

-1.13

Step-by-step explanation:

you can count the units from -1.1 and you will find out this

its the correct answer

You can even add 2 units from -1.1

-1.1 can also be written as -1.11

so -1.11 + 2

= -1.13

21. A triangle has base 4.6 ft and
height 18 in. Find its area.

Answers

Answer:

Answer is 41.4 ft

Step-by-step explanation:

formula for triangle is 1/2 base x height

1/2x4.6x18

=4.6x9

=41.4

so the area = 41.4 ft

Please help me if I don't get this done imma fail

Answers

Answer:

as mentioned

JT=3x+5--------> (1)

CT=69----------> (2)

CJ=4x+8-------> (3)

Now,

JT=CT-CJ

3x+5 = 69 - (4x+8)

3x+5=69-4x-8

3x+5=61-4x

taking variables to one side.

3x+4x = 61-5

7x = 56

x = 56/7

x=8

put value of x in  (1)

JT=3(8) + 5

JT= 24+5

JT=29

Step-by-step explanation:

Answer:

Kayleigh Did u at least try Before u asked for help because u do know that u can always retake it multiple time I know because I have all 3 boxes filled in purple from just retaking it after I studied the answer.  

Step-by-step explanation:

So first just try doing it and then retaking it.

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