Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 323481: My name in Melvin Heath grade 9th. Here is my math question.


bryan and his band want to record and selll cds.there will be an initial set up fee of $250,and cd will cost $5.50 to burn.the recording studio requires bands to make a minimum purchase of $850,which includes the set up fee and cost of burning cds.

Write a function relating the total cost and the number of cds burned?

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Question 323644: Find and simplify the difference quotient
((f(x+h)-f(x))/h, f(x)=6x^2+5x

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Question 323646: Find the requested composition of functions
Given f(x)=4/(x-8) and g(x)=2/(7x), find (f of g)(x)

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Question 323647: determine algebraically whether the function is even, odd, or neither even nor odd.
f(x)=-5x^5+4x^3

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Question 322953: If the points (0, 0), (-1, 1), and (-2, 2) lie on the graph of function h, then which of the following rules could represent the function?
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Question 323755: i have to find the domain of thid problem: g(x)=5-3x^5 and i have no idea how to do it.
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Question 323790: Whats the domain of 4x/x(x^2-64)
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Question 323826: Is the area of a rectangle a function of its perimeter?
Can you give me an example including the input and output?

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Question 323832: Find the domain of the rational function
f(x) = (x^3 + 2x^2 + x + 1)/(x^2 + 3x + 2)

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Question 323839: Find all horizontal asymptotes (if any) of the function
f(x) = (x^2 + 13x - 5)/(x + 2)

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Question 323837: Find all vertical asymptotes (if any) of the function
f(x) = x/(x^2 - 16)

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Question 323833: Find the x and y intercepts (if any) of the rational function
f(x) = (x^2 + 3x + 2)/(x + 1)

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Question 323823: Find the minimum and maximum values of z=2x+3y if possible, for the following set of constraints
x+y≤9
-x+y≤5
2x-y≤14
Find minimum value & maximum value.
Please help! :)

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Question 323973: Solve x^2 + 2x = -2 by graphing and indicate the roots.
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Question 324542: What is the range of the function f(x) = sqrt(x)?
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Question 324531: For the following function, find the value of f(2). The x+2 is absolute value but didn't know how to represent that with keystrokes so I used the backslash key. And I did <- for less than equal to and >- for greater than equal to.
f(x)= {/x+2/ if -4 <- x <1

{ 4 if 1 <- x <3

{-x+5 if x >- 3

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Question 324516: Find a polynomial equation with integral coefficients that has the roots:
-2, 2, -3

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Question 323405: given the equation:
f(x)= 3*sin(1/x)
a. is this a function? why or why not?
b. define the domain in interval notation.
c. define the range in interval notation.
d. evaluate f(0)
e. find max [f(x)]
f. find min [f(x)]

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Question 324503: Please help with finding ALL oblique asymptotes (if any) of the function
f(x)=(x^3 + 2x^2 + x - 1)/(x + 7)

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Question 324527: Determine the domain of the function
f(x) = {2x^2-1 if 2 {4-3x if 5

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Question 324668: Determine the domain of the function:
f(x)={ 2x^2 - 1 if 2< x <= 5
{ 4 - 3x if 5 < x <= 7

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Question 324671: For the following function, find f(3).
f(x)={ 2x^2 - 1 if 2< x <= 5
{ 4 - 3x if 5 < x <= 7

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Question 324672: What is the domain of the function and give answer in interval notation, using INF for infinity.
f(x) = 2x/(x^2 - x - 6)

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Question 324697: I need help with two questions please.
1. Find the inverse of the one-to-one function f)x) = (x - 2)^3.
2. The function f(x) = (x + 1)/(2x - 1) is a one-to-one function. What is the range of f^1(x)?

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Question 324710: Using a calculator, how would I evaluate the function
y = 1.62^x+1 at the value x = 2.83. Round answer to two decimal places.

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Question 324708: Solve the equation 2^x-1 = 8. Give solution in fractional form.
Can you show me how you come up with the answer so I can figure out how to do it. The sample my teacher gave us is nothing like this problem. Thanks for you help.

Click here to see answer by Alan3354(69443) About Me 

Question 324764: Factor f(x) = x^3+2x^2+x–10 given that -1 is a zero of f(x).
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Question 325028: is y a fuincation of x on the following problems.
1. Y2=6-x^2
2. y^2 +x+9
3. y= x^2

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Question 325092: given f(x)= x/2-x and g(x)=3/x
how do find (fog)(x)

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Question 325098: If g(x)= x/2+x determine g(3)+g(3^-1)
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Question 325470: If f(x)=2x+3 and g(x)=x-3, find the following:
a. (f*g)(4)
b. (g*f)(4)

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Question 325738: log (x + 2) - 3 log y
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Question 325757: Let f(x)=5X-3 and g(x)=-x^2 + 4x. Find each of the following.
A.) f(-2)
B.) g(3)
C.) g(-k)
D.) g(3m)
E.) g(k-5)
F.) f(3-p)

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Question 325815: what does it mean when they say what is the discriminate for the problem 7x^2-8x+5=0 I am totally totally lost.
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Question 325815: what does it mean when they say what is the discriminate for the problem 7x^2-8x+5=0 I am totally totally lost.
Click here to see answer by solver91311(24713) About Me 

Question 325780: g(3)=-3^2+4(3)
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Question 326064: How would I write the linear cost function.
12 units cost $445; 50 units cost $1585.
I know the answer is c(x)=3x+85
But I can't figure out how they go the 3 or the 85.

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Question 326543: what is the domain of the function defined by: f(x)= x+5/ x2- 4x ?
And the solutions are:
A: all real numbers except 0 and 4
B: All real numbers except 0 and 4 and -5
C: all real numbers except 4 and -5
D: all real numbers except -5
E: all real numbers except 4
your help is appreciated.

Click here to see answer by user_dude2008(1862) About Me 

Question 326562: I need help with this problem. I have solved it and I got the answer x-5/2 but its not listed as one of the answers and I do not know if I have solved it wrong or not.
here is the problem:
if f(x)= 2x+5, then f-1(x)=
and the answers are:
a. (1/2)(x-5)
b.1/2x+5
c. -2x-5
d.(1/2x)-(5/2)
e.(1/2x)+5

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Question 326819: The supply function of a commodity is a quadratic function that passes though the following points (i.e (p,q) where p=price per item and q=number of units) (30,800),(40,3900) and (60,7400).Required: Determine the supply function .
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Question 326986: given f(x) = 8x -2 and g(x) = 2x-3 find f-g
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Question 326977: given f(x)= 5x + 4 and g(x) = 3x -8 find f times g
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Question 327148: Find the slope and the y-intercept of the line. write the fractional answer in the lowest terms.
y=-8/9x-9/8

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Question 327226: If f(x)=1-3x and g(x)= 1/(x^2+1), find f(g(0)) and g(f(1))
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660