How do you determine the domain of a function ?

Answers

Answer 1

Answer:

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that

chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function

must be a real number, the following conditions are commonly checked:

1. Denominators cannot equal 0.

2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)  

cannot have a negative value.

3. Logarithms can only be taken of positive values.

4. In word problems physical or other real-life restrictions might be imposed, e.g. time is  

nonnegative, number of items is a nonnegative integer, etc.

Answer 2

Answer:

the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers

i hope this helps


Related Questions

explain how you know these figures are similar​

Answers

Answer:

because of them is bigger than the other one so that means its differ but it has the same length

Step-by-step explanation:

the figures are the same size

Two parallel lines are cut by a transversal as shown below.

Suppose m<3=79. Find m<6 and m<8

Answers

Answer:

byebyebyebyebyebbyebyebye

x²-2xy-4z²+y² x=1 y=2 z=0

Answers

Answer:

the answer is 1.

Step-by-step explanation:

x²-2xy-4z²+y²

given:

x=1 y=2 z=0

now,

=1^2-2*1*2-0+2^2

=1

hope it helps ..thank u

You are the head of a building department . Your department is making final inspections of two types of new commercial buildings --gas stations and restaurants . Final inspections involve the work of three separate inspectors : a plumbing inspector , an electrical inspector , and a building inspector . The plumbing inspector requires 4 hours to inspect a gas station and 2 hours to inspect a restaurant . The electrical inspector requires 2 hours to inspect a gas station and 6 hours to inspect a restaurant . The building inspector requires 4 hours to inspect a gas station and 6 hours to inspect a restaurant . Considering the time required for other duties , the plumbing inspector has 28 hours a week available for inspections ; the electrical inspector has 30 hours available and the building inspector has 36 hours available . You want to inspect as many commercial buildings as possible each week . Set up this problem as a linear programming problem .​

Answers

Answer:

inspector" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

hope this is correct!

Plz help me WILL MARK BRAINLIEST
plz serious answers only and show work no links or will be reported ​

Answers

basically just substitute the x into the given equations shown at the top then plug it into the calculator, i did 1 for u as an example:)

round 88.85 to the nearest ten​

Answers

Answer:

it's 88.9

Step-by-step explanation:

Answer: 88.9

Step-by-step explanation .....

Ben has to unload a truck filled with 25 bags of grain for his horses. Each bag weighs 50.75 pounds. How many pounds does he have to lift? *
A) 12,687.50 pounds
B) 1, 268.75 pounds
C) 126.875 pounds
D) 1250 pounds

Answers

Answer:

50.75 x 25 = 1268.75 pounds

Answer:

B) 1,268.75 pounds

Step-by-step explanation:

Multiply the numbers: 50.75 * 25 = 1,268.75

Equivalent ratio for 13:10

Answers

Answer:

26:20

Step-by-step explanation:

Answer:

26:20

Step-by-step explanation:

There is no way to simplify this ratio as 13 is a prime number, but you can make the ratio bigger by multiplying both sides of the ratio by equivalent numbers, like 2:

13 x 2 = 26

10 x 2 = 20

26:20

help me please please




Answers

Answer:

9875 dollars I believe is your answer

Answer:

9,875

Step-by-step explanation:

u just multiply the number of boxes by 395

Find the product.

-a 2b 2c 2(a + b - c)

Answers

Answer:

I think the answer is

[tex] { - 8a}^{2} {b}^{2} - {8ab}^{3} + {8ab}^{2} c[/tex]

Giving brainliest, 50 points (answer both questions with solutions)

Answers

Answer:

See below

Step-by-step explanation:

#6[tex](3x^3)^2*(2x)^3=3^2x^{3*2}*2^3x^3=9*8*x^6x^3=72x^{6+3}=72x^9[/tex]#7[tex](x^4y^{-7}/x^{-2}y^4)^2=(x^{4+2}y^{-7-4})^2=(x^6y^{-11})^2=x^{12}y^{-22}=x^{12}/y^{22}[/tex]

please help will give brainliest immediately

Answers

Answer:

5

Step-by-step explanation:

H                       15                          J

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

         5           I                10

15-10 =5

The answer, help me

Answers

Answer:

D. 7 1/2

Step-by-step explanation:

Exact form 15/2

Decimal 7.5

Mixed number 7 1/2

A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile. Write an equation relating
m, the number of miles driven, if the total cost for a one-day rental was $131.

Part A. Write an equation relating m , the number of miles driven, if the total cost for a one-day rental was $131.

Part B. Find the solution to the equation you created in the previous question and explain what the solution means in this situation.

Answers

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

According to the question;

The agency charges $75 per day, which includes 100 miles.

Additionally, the agency charges $0.35 per mile for each additional mile;

a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;

$0.35m + $75 = $131.

b) To find the solution to the equation;

$0.35m = $131 - $75

$0.35m = $56

m = $56/$0.35

m = 160.

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.

Read More:

https://brainly.com/question/18370359

ول
니,

If Susie takes a test with 50

questions and gets 4/5 of them

correct, how many questions did
she miss?

Answers

Answer:

10

Step-by-step explanation

4/5=40/50 50-40= 10.

What is the missing angle measurement

Answers

Answer:

option c. 80 degree

Step-by-step explanation:

answer = 80 degree

explain please too! i really am struggling with this and I don't know how the results are achieved. thanks!

Answers

Answer:

Angle 1 = 180°-99° (adj angles on a str line)

= 81°

Angle 2 = 99° (vert opp angles)

Angle 3 = 81° (vert opp angles)

Angle 4 = 99° (corr angles, a//b)

Angle 5 = 81° (corr angles, a//b)

Angle 6 = 99° (corr angles, a//b)

Angle 7 = 81° (corr angles, a//b)

4. The first two numbers in a sequence are 3, 9.
a. If this is an arithmetic sequence, what are the next 2 terms?

Answers

Answer:

15 & 21

Step-by-step explanation:

If this is an AP, the common difference is:

9 - 3 = 6

The next two terms are:

9 + 6 = 1515 + 6 = 21

In the arithmetic sequence :

The next 2 term of the arithmetic sequence is:

15 , 21

A sequence in which the difference between all pairs of consecutive numbers is equal is called an arithmetic progression.

We have the following information available from the question is:

The first two numbers in a sequence are 3, 9.

We have to find the next 2 terms of the arithmetic sequence.

Now, According to the question:

The first two numbers in a sequence are 3, 9.

a1 = 3

d = 9 - 3 = 6

The next 2 term of the arithmetic sequence is:

9 + 6 = 15

15 + 6 = 21

Learn more about arithmetic sequence at:

https://brainly.com/question/34721740

#SPJ3

What is N plus five squared ?

Answers

Answer:

'n plus 5 squared' is n + 25

Step-by-step explanation:

Note that "five squared" is 5^2, or 25.

Then 'n plus 5 squared' is n + 25.

i need help please help asap

Answers

The answer is D I took that test

Answer:

C

Step-by-step explanation:

Mario first rode at one constant speed and then at a faster constant speed.

Math help
Brainlest
Helpppppppp

Answers

Answer:

first one I think is 6 and then 3

Step-by-step explanation:

Can you please help me with this ??
Please help

Answers

its 3333344455556999999999999

BRAINLIST!!!!!
Lisa glued two pieces of wood together to make the letter L in her art class. She plans to paint all sides of it purple, including the base.

The longer piece of wood has dimensions of 2 inches by 2 inches by 6 inches. The shorter piece of wood has dimensions of 5 inches by 2 inches by 2 inches. How many square inches of purple paint will Lisa use to paint her letter L?

A.
74 square inches
B.
96 square inches
C.
104 square inches
D.
100 square inches

Answers

Answer:

The 52 square inches of purple paint will Lisa use to paint her letter L, If she plans to paint all sides of it purple, including the base, the longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches and the shorter piece of wood has dimensions of 3 inches by 1 inch by 1 inch.

Step-by-step explanation: The given is, Lisa glued two pieces of wood together to make the letter L The longer piece of wood has dimensions of 1 inch by 1 inch by 9 inches.

two ratios that are equivalent to 4:18

Answers

The answers are 2.9 and 6.36

evaluate -6-(-5) x (-9)

Answers

9.
That’s the answer

It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards. A number line from ten to forty with labels at ten, twenty, thirty, and forty. Between each pair of labeled points are four tick marks. Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer. Enter the correct answers in the boxes.

Answers

Using the theory of Number line in location linear distances, the final position of the ball is 31 yards while the relative position is 6 yards to the right of its initial position.

Initial position of the ball = 25 yards

Distance moved by the ball = 6 yards

Final position of the ball = Initial position + distance moved

Final position = (25 yards + 6 yards) = 31 yards

Final position of the ball relative to its starting position :

Since the ball moves to towards the right of the starting position, then the new position of the ball is 6 yards to the right of its starting position.

Therefore, the final position of the ball is 31 yards and it is 6 yards to the right of its starting position.

Learn more : https://brainly.com/question/1889174

The points H, I, J and K all lie on the same line segment, in that order, such that the

ratio of HI:IJ: JK is equal to 3: 3:4. If HK - 40, find IJ.

Answers

Answer:

IJ = 12

Step-by-step explanation:

sum the parts of the ratios, 3 + 3 + 4 = 10 parts

Divide HK by 10 to find the value of one part of the ratio.

40 ÷ 10 = 4 ← value of 1 part of ratio , then

IJ = 3 parts = 3 × 4 = 12

factorise using the formula​

Answers

Answer:

please find answer attached

Step-by-step explanation:

What is the value of x in the equation 5 − 3x = −7?

Answers

Step-by-step explanation:

5 − 3x = −7

=> 5 + 7 = 3x

=> 12 = 3x

[tex] = > x = \frac{12}{3} [/tex]

=> x = 4 (Ans)

Given :

5 − 3x = −7

To Find :

The required value of x .

Solution :

[tex]\qquad \sf \: { \dashrightarrow 5 - 3x = - 7}[/tex]

Adding (–5) to both sides :

[tex]\qquad \sf \: { \dashrightarrow 5 + ( - 5) \: − 3x = −7 + ( - 5)}[/tex]

[tex]\qquad \sf \: { \dashrightarrow \: − 3x = - 12}[/tex]

Dividing both sides by 3 :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ - 3x}{3} = \dfrac{ - 12}{3} } [/tex]

[tex]\qquad \sf \: { \dashrightarrow − x = −4}[/tex]

Cancelling (–) from both sides we get :

[tex]\qquad {\pmb {\bf{ \dashrightarrow x = 4}}} \\ [/tex]

Therefore, The required value of x is 4.

Mr. Jones has 14 blue pencils the rest of his pencils are red. He has twice as many blue pencils as red pencils how many total pencils does mr. Jones have

7 pencils
21 pencils
28 pencils
42 pencils

Answers

Answer:

Mr. Jones would have 21 total pencils.

Answer:

42

Step-by-step explanation:

multiply 14 times 3

Other Questions
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