Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.

Answers

Answer 1

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4


Related Questions

To paint, a House, a painting company charges a flat rate of $400 for supplies, plus 60$ for each hour of labor. Write an equation for this situation.

Answers

y=60x+400

60 is the slope because they get payed $60 hourly, so the money is constantly increasing. 400 would be the y-intercept because it’s a constant. It doesn’t increase, it stays the same.

Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. What is the equation of function g? g(x) =___ f(x)

Answers

Answer:

the answer is -3 I just took the test and got 100%

Answer:

-3

Step-by-step explanation:

Answer is correct from plato, other guy is right too.

FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?

Answers

Answer D

step by step

PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 7x - 4x + 3

Answers

Answer:

7x - 4x + 3

3x + 3 = 6x

Step-by-step explanation:

7 - 4 = 3 meaning 7x -4x would be 3x as they are similar terms and then you add + 3 making it 6x

What is the solution of the proportion x−1/2 = x−4/5 ?

Answers

This statement is false... what exactly did you mean because this is not a correct statement

Make it into slope-intercept form

Answers

Answer:

y=1/2x-1

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. Hope this helps!

the research director at NASA must choose five experiments for the next space shuttle. Twelve experiments are proposed. in how many ways can this decision be made if order does not matter.. how many ways can this be arranged?

Answers

Answer:

95040

Step-by-step explanation:

This is the combination of 5 experiments out of 12

Formula to find the combination:

P(n,r) = n!/(n-r)!P(12,5) = 12!/(12-5)! = 12!/7! = 12*11*10*9*8 = 95040

So this can be arranged in 95040 ways

WILL GIVE BRAINLIEST! 2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!

1: (THE PICTURE)

POSSIBLE ANSWERS:


Line A

Line B

Line C

Line D


2: The F-16 Fighting Falcon, a United States fighter jet, can travel 3680 miles in 4 hours. In miles per hour, what is the speed of the F-16?

POSSIBLE ANSWERS:

1. 900mph

1. 736mph

3. 460mph

4. 0.001086mph

5. None of the Above

Answers

So pretty much for the first question it is line A since the steeper the line the faster something goes as in this case A is covering the most questions at the fastest rate.


For the second one it’s none of the above because 3680/4=920.


Hopefully I don’t get this wrong :/

The following statements as true or false.


a. m23 + m25 = 180

b. m22 + m26 = 180

C. m28 = m_1
Which ones are true and false plzzzzz this is urgent

Answers

Answer:

True

False

True

Step-by-step explanation:

Interior angles are supplementary

Corresponding angles makes mangle2 and mangle6 the same deg

mangle1 = mangle5 (corresponding angles)

mangle5 = mangle8 (vertically opposite angles)

Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi

Answers

Answer: B) x=-pi/2 , x=pi/2

Step-by-step explanation:

Just did it!

Answer:

B

Step-by-step explanation:

Edge 2020

PLS HELPPPP MEEE
(explain ur answer)

Answers

Answer:

(4). is the correct answer

Step-by-step explanation:

(- 3, 1, 1)

(1). - 3 - 1 - 1 ≠ - 2  not an answer...

(2). - 3 - 1 + 3(1) ≠ 2 not an answer...

(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...

(4). 2(- 3) + 3(1) + 4(1) = 1

3(1) + 3(1) = 6

- 3 = - 3(1)

Find the probability the next person you meet was born either on a Monday or a Friday.

Answers

Answer:

Probability = 0.2857 (Approx)

Step-by-step explanation:

Given:

Total number of days in a week = 7

Monday or Friday = 2  days

Find:

Probability

Computation:

Probability = Monday or Friday / Total number of days in a week

Probability = 2/7

Probability = 0.2857 (Approx)

If x=8, what is the value of x(19-x)?

Answers

Answer:

88

Step-by-step explanation:

we have value of x=8

x(19-x)

8(19-8)

8×11

88 ans

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer

answers is 267 bits oof yard

Step-by-step explanation:

Answer:

146 divided into 18 would be 8.11111111111.. and so on.

Step-by-step explanation:

Hope that helps :)

for what values of x is x2+2x=24 true?

-6 and -4
-4 and 6
4 and -6
6 and 4 ​

Answers

Answer:

It is actually choice c

Step-by-step explanation:

I took the test

Answer:

c

Step-by-step explanation:

banlest plzz

Which of the following angles is not congruent to angle 3

Answers

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Angle 3 is not equal to angle 2.

What is property of parallel lines?

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

As,

angle 3 = angle 1    (Corresponding angle)

angle  3 = angle 6  ( alternate interior angle)

angle 3= angle 8  (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ6

3
Sean scored 48 points in 16 basketball games
last season. Approximately how many points did
Sean average per game?
A. .33
B. 3
C. 64
D. 768

Answers

Answer: a

Step-by-step explanation:

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

Step-by-step explanation:

For 2 it is 6/7. 36 and 42 share a common factor, 6. If you divide each one by 6, 36 becomes 6, and 42 becomes 7. So, number 2 is 6/7.

Yes the person that answered were correct I had this question

To visit his grandmother, Michael takes a motorcycle 3.85 kilometers and a horse 3.32 kilometers. In total, the
journey takes 50.54 minutes.
How many kilometers is Michael's journey in total?

Answers

Answer:

7.17

Step-by-step explanation:

sorry for the first answer

7.17 kilometres is Michael's journey in total.

Given that, the number of kilometres Michael travelled on motorcycle =3.85 kilometres and on a horse 3.32=kilometers.

How to find the total distance travelled?

Total distance means the actual distance between the places from which the material is transported to the destination place.

The total distance travelled is the path taken by a body to get from an initial point to an endpoint in a given period of time.

Now, total distance travelled=3.85+3.32=7.17 kilometres.

Therefore, the distance travelled is 7.17 kilometres.

To learn more about distance visit:

https://brainly.com/question/15172156.

#SPJ2

Triangle ABC is an isosceles triangle. Angle A is the vertex angle. AB=8x-8 and AC=6x+9 find the length of one of the legs

Answers

Answer:

tge length is 14 make me brainliest

Step-by-step explanation:

I did it in a test and hit it correct

You recently discovered that your job provides a 25% matching towards your retirement.
If you deposit $300 each month into a retirement account with an APR of 8.99%, what
would you type in Excel to find the balance after 30 years?

Answers

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.

34 + 10 + 100 = 12 x 12 Is this correct?

Answers

Answer:ig so

Step-by-step explanation:34+10+100=144

12x12=144 same thing

Answer:

yes

Step-by-step explanation:

i guess

Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; âw âr , âw âθ when r = 4, θ = Ï2

Answers

Answer:

δw/δr = 4π

δw/δθ = -8π

Step-by-step explanation:

Given the following functions

w = xy + yz + zx, x = r cosθ y = r sinθ, z = rθ where r = 4 and θ = π/2

We are to find δw/δr and δw/δθ

δw/δr = δw/δx•δx/δr + δw/δy•δy/δr + δw/δz•δz/δr

δw/δx = y+z

δx/δr = cosθ

δw/δy = x+z

δy/δr = sinθ

δw/δz = y+x

δz/δr = θ

Substitute the given values into the formula

δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ

Substitute the value of x, y and z in terms of theta into the resulting function

δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ

δw/δr = (rsinθ+rθ)cosθ+(rcosθ+rθ)sinθ+(rsinθ+rcosθ)θ

Substitute r = 4 and θ = π/2

δw/δr = (4sinπ/2+4π/2)cosπ/2+(4cosπ/2+4π/2)sinπ/2+(4sinπ/2+4cosπ/2)π/2

Note that cos π/2 = 0 and sinπ/2 = 1

δw/δr = (4+2π)(0)+(0+2π)(1)+(4(1)+4(0))π/2

δw/δr = 0+2π+4π/2

δw/δr = 2π+2π

δw/δr = 4π

For δw/δθ

δw/δθ = δw/δx•δx/δθ + δw/δy•δy/δθ + δw/δz•δz/δθ

δw/δx = y+z

δx/δθ = -rsinθ

δw/δy = x+z

δy/δθ =rcosθ

δw/δz = y+x

δz/δθ = r

Substitute the given values into the formula

δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r

Substitute the value of x, y and z in terms of theta into the resulting function

δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r

δw/δθ = (rsinθ+rθ)-rsinθ+(rcosθ+rθ)rcosθ+(rsinθ+rcosθ)r

Substitute r = 4 and θ = π/2

δw/δθ = (4sinπ/2+4π/2)-4sinπ/2+(4cosπ/2+4π/2)4cosπ/2+(4sinπ/2+4cosπ/2)(4)

Note that cos π/2 = 0 and sinπ/2 = 1

δw/δθ = (4+2π)(-4)+(0+2π)(0)+(4(1)+4(0))(4)

δw/δθ = -16-8π+0+4(4)

δw/δθ = -16+16-8π

δw/δθ = -8π

Look at the flag of Sweden below, then answer the question based on the appearance of the lines on the flag
help please help

Answers

Answer:

B. They are perpendicular to each other

Step-by-step explanation:

Perpendicular Lines are lines that intersect each other and make a (or multiple) right angles or 90°.

Answer:b

Step-by-step explanation:

What is the hourly utilization rate of each resource if the bottleneck(s) work nonstop during a 10-hour day?

Answers

Answer:

100%

Step-by-step explanation:

Utilization rate =

Hours worked / total working hours per day

Since the bottle works nonstop during a 10-hour day, it worked 10 hours

Utilization rate in percentage = (10/10)×100%

= 100%

One-third of a number t is equal to 7.
Write the word sentence as an equation then solve

Answers

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

4xº
(2x – 6°
33°
A. x= 31, y = 91
B. x= 31, y = 116
C. x = 56, y=91
D. x= 56, y = 116

Answers

Answer: X=31 y=92

Explanation:

What is the Greatest Common Factor of 12 and 28
O2
3
06
4

Answers

Answer:

The GCF of 12 and 28 is 4.

Step-by-step explanation:

hope this helps

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 28 are: 1, 2, 4, 7, 14, 28

Answer:

The GCF is 4.

Step-by-step explanation:

Which list represents integers ordered from least to greatest?
A 4,-7, -6, 10
B 4, -5, -6, 10
C -7, -6, 4, 10
D-6, 4, 5, 10
OA
B
OC
D

Answers

Answer:
It’s C



Why:
Because i’m smart duh

Answer:

C,-7,-6,4,10

Step-by-step explanation:

I guessed and that is all I did

what's the distance between (2,10) and (-6,6)

Answers

Answer:

4

Step-by-step explanation:

Answer:

sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9

Step-by-step explanation:

use formula:

d= sqrt(x2−x1)^2+(y2−y1)^2

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