What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.

What Restriction Should Be Applied To Y = Tanx For Y = Arctanx To Be Defined?Look At The Picture Below

Answers

Answer 1

Answer:

its c on edge

Step-by-step explanation:

restrict the domain to (-pi/2,pi/2)

Answer 2

The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)

In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.

A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.

Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].

Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.

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What Restriction Should Be Applied To Y = Tanx For Y = Arctanx To Be Defined?Look At The Picture Below

Related Questions

The sum of two consecutive odd integers is 72 what are the integers

Answers

Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).

B hi or to oki yuu u

1. What is the surface area of the polyhedron? Explain your reasoning.

Answers

Answer:

24

Step-by-step explanation:

i counted the square me good at counting

24 I hope this helps

Question 1 of 2
15 Points
A report revealed that the average no. of months that an employee stays in a factory is 36
months. Assuming that the no. of months of an employee tenure in the factory is normally
distributed with a standard deviation of 6 months, find the probability that a certain employee
will stay
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months​

Answers

Answer:

Step-by-step explanation:

Given the following :

Mean(m) = 36 months

Standard deviation (s) = 6 months

A) probability of staying more than 30 months :

Zscore = ( x - m) / s

x = 30

Zscore = (30 - 36) / 6

Zscore = - 6/6

= - 1

P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587

1 - p(Z < - 1) = 1 - 0.1587 = 0.8413

2)less than 24 months :

Zscore = ( x - m) / s

x = 24

Zscore = (24 - 36) / 6

Zscore = - 12/6

= - 2

P(Z < - 2) = 0.0228

3.) between 24 to 48 months

For 24 months : from above = 0.0228

48 months :

Zscore = ( x - m) / s

x = 48

Zscore = (48 - 36) / 6

Zscore = 12/6

= 2

P(Z < 2) = 0.9772 ( from z table)

Hence,

0.9772 - 0.0228 = 0.9544

A license plate is to have the following form: 4 letters followed by 4 numbers. How many different license plates can be made, assuming that letters and numbers can be reused?

Answers

Answer ≈ 4 and a half billion


If we assume your letters range from A to Z and your digits from 0 to 9, you have 26 possibilities per letter and 10 per digit. This gives you 26^4*10^4 which is roughly 4 billion and a half.

The number of different license plates that can be made will be 260⁴.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A license plate is to have the following form: 4 letters followed by 4 numbers.

We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).

The number of different license plates that can be made will be

⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10

⇒ 26⁴ x 10⁴

⇒ (26 x 10)⁴

⇒ 260⁴

The number of different license plates that can be made will be 260⁴.

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Simplify -9/6 divided by -3/2

Answers

-9/6 divided by -3/2 is equal to -9/6 times -2/3.
An negative times a negative is a positive
So the new prob is 9/6 times 2/3
you multiply across and you get 18/18
18/18 is equal to 1
there’s you answer hope it helps ✨

John and Amelia have a baby daughter Sonia John is 23 kg heavier than Amelia who is four times as heavy as Sonia their combined weight is 122. how heavy is each person​

Answers

x+4x+4x+23

9x+23=122

122-23=99

9\99=11

J=67

A=44

S=11

11+44+67=122 kg

The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that

Let j , a and s be the weights of John, Amelia and Sonia respectively.

John is 23 kg heavier than Amelia.

j = a + 23

Amelia is four times as heavy as Sonia.

a = 4s ⇒ s = a/4

Their combined weight is 122.

j + a + s = 122

Substituting the above expressions of j and s in terms of a in the equation j + a + s = 122, we get,

(a + 23) + a + (a/4) = 122

2a + a/4 + 23 = 122

9a/4 = 122 - 23

2.25a = 99

a = 44

j = 44 + 23 = 67

s = 44/4 = 11

Hence the weight of each person is 67 kg, 44 kg and 11 kg.

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Marcella bought 3 packages of balloons and 4 packages of favors for $14.63.
Rupert bought 2 packages of balloons and 5 packages of favors for $16.03. Find
the price of a package of balloons.

Answers

Answer:

$1.29 for balloons

Step-by-step explanation:

3b + 4f = 14.63

2b + 5f = 16.03

2b = 16.03 - 5f

b = (16.03/2) - 5/2f

3b + 4f = 14.63

3[(16.03/2) - 5/2f] + 4f = 14.63

48.09/2 - 15/2f + 4f = 14.63

24.045 - 15/2f + 8/2f = 14.63

24.045 - 7/2f = 14.63

-7/2f = -9.415

-3.5f = -9.415

f = 2.69 = $2.69 for favors

2b + 5(2.69) = 16.03

2b + 13.45 = 16.03

2b = 2.58

b = 1.29 = $1.29 for balloons

Which inequality is graphed below?​

Answers

X is less than or equal to -4

Answer:

the first one

x is greater than or equal to - 4

Step-by-step explanation:

Find the present value of an annuity of $120 at the end of each month put into an account yielding 4.8% compounded monthly for 5 years.

Answers

Answer:

Yyyy

Step-by-step explanation:

help!!!

3 Peter measured the width of a room as 28 feet
and the length as 17 feet. About how many
square feet does the room cover?
Area = length X width

Answers

answer: 476
Area = length X width 28x17= 476

Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)}

What is the domain of A?

Answers

The domain of A is {-3, 0, 2, 5}.

do you like ainme\dislike

Answers

Answer:

I like anime, do u?

Step-by-step explanation:

Answer:

Yes I love it

Step-by-step explanation:

Solve the system of linear equations by graphing. x+y=27
y=x+3

Answers

Answer:

X=12 Y=15

Step-by-step explanation:

X+Y=27 (1)

Y=X+3 (2)

substitute (2) into (1)

X+X+3=27

2X=24

X=12

substitute X=12 into (2)

Y=12+3

Y=15

The solution to the problem as shown in the graph is at A(12, 15):

A linear equation is in the form:

y = mx + b;

where m is the slope, b is the y intercept and y, x are variables.

Given the linear equations:

x + y = 27

y = x + 3

Plotting the equations using Geogebra online graphing tool, the solution to the problem as shown in the graph is at A(12, 15):

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Solve -8 =2(z-18) for z

Answers

Answer:

z=14

Step-by-step explanation:

-8=2(z-18)

  -8=2z-36

+36     +36

28=2z

28/2=14

z=14

Answer:

z=14. 2(14-18)=2(-4)=-8=-8

P.s.

please give me brainliest for my next rank

Use the distributive property to find an expression that is equivalent to
2x(x + 7)-(3x +1)

Answers

Given expression:

     2x(x + 7)-(3x +1);

To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;

  2x(x + 7)-(3x +1)  

  Distribute 2x over the first parentheses;

   the negative sign distributes over the second part

    = (2x² + 14x)  - 3x -1

    = 2x² + 14x -3x -1

    Add like terms;

    = 2x² + 11x -1

This expression  2x² + 11x -1 is equal to the given one


Which of the following is an obtuse triangle?
Triangle A
Triangle B
Triangle C
Triangle D

Answers

Answer:

triangle B

Step-by-step explanation:

It is the only triangle with an angle wider than 90

Which set of ordered pairs does not represent a function?

\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}

Answers

Answer:

the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .

What is 2.068 rounded to the nearest 0.1

Answers

Answer:

2.1

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.

Answers

A 33 pound bag of grass seed has = 2 pounds less than 5 smaller bags of seed

= 33 pounds = 2 pounds less than 5 smaller bags

Let the weight of smaller bag of seed be ' x ' . Then ,

= 33 = 5x - 2

= 5x -2 = 33

= 5x = 33 + 2 ( transposing -2 from LHS to RHS changes -2 into +2 )

= 5x = 35

= x = 35 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 7 = weight of smaller bag of seed

Then , the weight of smaller bag of seed will be 7 pounds . Let us check it by putting 7 in the place of x :

= ( 5 × 7 ) - 2 = 33

= 35 - 2 = 33

LHS = RHS

Therefore , the weight of of smaller bag of seed is 7 pounds .

Can someone help me out ? Please ?

Answers

Answer:B

Step-by-step explanation:mark me as brainliest

helppp me please!!! ​

Answers

Answer:

18 hdhb

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

21/1 x 6/7

21 x 6 = 126

1 x 7 = 7

126 / 7 = 18

what number is rational?

Answers

Answer:

0.33333333333333

Step-by-step explanation:

$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory

Answers

There are 22 workers are available in the factory.

What is Wages?

Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).

Here, Let the number of workers in the factory be x.

         Basic rate = $15

    Working hours in a week  = 48 hours

     Total wages in a week = $ 15840

If no overtime is to be paid then according to question,

   Amount paid to 1 worker = 48 X 15 = $ 720

  Amount paid to x worker = 720x

                 15840 = 720x

                    x = 15840/720

                    x = 22

Thus, There are 22 workers are available in the factory.

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Cheryl has $100 on her subway gift card. Each week she buys the same lunch for $10. She wants to continue using the card until the balance remaining is $40. Write an equation to represent the situation

Answers

Answer:

100-60=40

Step-by-step explanation:

Answer:

In 6 weeks she will have $40.

Step-by-step explanation:

$100 - $10 - $10 -$10 - $10 - $10 - $10.

Or $100 - $60.

If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 7700 extra calories will translate into a weight gain of 1 kilogram. Therefore, we expect each of these subjects to gain 56000/7700=7.3 kilograms. The weights in kilograms before and after the 8-week period are shown below:

ID: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Before: 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8
After: 61.7 58.8 66.0 66.2 79.0 82.4 74.3 59.3 79.1 67.0 73.4 76.9 93.1 63.0 68.3 60.3



(1) For each subject, manually calculate the weight gain subtracting the weight before from the weight after.

Answers

1,346 calories hope this helps

PLEASEE HELP ME AS FAST AS POSSIBLE! According to the fundamental theorem of algebra, how many solutions does this polynomial have?

Btw sorry about the bad lighting

Answers

2, because there are 2 different factors with x in it.

x could be 0, or 4.

Hope this helps

The number of the solution of the polynomial is 2. And the solutions of the polynomial are 0 and 4.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given below.

y = 3x(x - 4)

The factors of the polynomial are 3x and (x - 4).

For the solution of the polynomial, put each factor equals to zero.

Then the solution of the polynomial will be

3x = 0

 x = 0

x - 4 = 0

     x = 4

The number of the solution of the polynomial is 2.

And the solutions of the polynomial are 0 and 4.

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HELP!!! DUE IN 38 MINUTES 11:22 due at 11:59pm pst​

Answers

Answer:

(1,2)

(-1,2)

(1,-2)

(-1,-2)

On a number line, which fraction would be to the right of 1/2?

A) 2/12
B) 1/3
C) 10/20
D) 16/25

Answers

Answer:

C. I hope this helps! Have a great day.

Kelly can type 120 words in 3 minutes. At that rate, how many words can she type in 5 minutes?

Answers

I believe it is 200 words in 5 minutes.

Daniel and Paul went exploring in the woods. On the first day Daniel saw 3 rabbits and Paul saw 8 deer. On the second day Daniel saw 4 rabbits and Paul saw 7 deer. On which day of hunting did Daniel and Paul catch a higher ratio of rabbits to deer?

Answers

Answer:

first day when they say 3 rabbits and 8 deers 3:8

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