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

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Question 1066409: Given that f(x)=px + q and g(x)= rx + s prove that fog=gof if and only if s(p-1) = q(r-1)
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Question 1066599: is -6,2,10,18 arithmetic
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Question 1066752: Suppose m = c(s/sqrt(n))
Solve for c (as a function of m, n, and s).
Solve for n (as a function of c, m, and s).

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Question 1066753: Suppose f = ((t-s)/(s/(n-2))) and p = ((t-s)/t)
Express f as a function of p and n

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Question 1066835: Write a quadratic function whose roots are 2+√3 and 2-√3 and passes through the point (1,4). Write your final answer in the form of y = ax^2 + bx + c.
Many thanks!

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Question 1066834: Write a quadratic function whose x-intercepts are 4 and 8 and passes through the point (3,5).
Thanks!

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Question 1067067: H(x)=(3x+2)/(4x-5)
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Question 1067022: Consider the function h whose domain is the interval
[−4, 4], with h defined on this domain by the formula
h(x) = (2 + x)^2.
Does h have an inverse? If so, find it, along with its
domain and range. If not, explain why not.

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Question 1067103: What two numbers add together to equal -6 and multiply together to equal 8

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Question 1067107: Given f(x)=1-1/(x+2)^2 ,find f(x+h) and find f(2x+3)
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Question 1067222: R={(-1,2),(1,3),(-1,3) is a function or not?
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Question 1067287: find slope intercept (0,-4) m=7
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Question 1067299: Is x^2-3 odd , even , or neither ?
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Question 1067301: Is x^2-3 odd , even , or neither ?
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Question 1067646: please help me to do this graph f(x)=1/2x-1

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Question 1067649: please help me to solve this graph f(x)=x

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Question 1067602: find the function y = 5x + 2 if f(1)
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Question 1067685: Hi, I need to find and simplify the difference quotient for f(9 + h)- f(9), over h. Where f(x) = x^2 − x + 8. h cannot = 0.
Click here to see answer by htmentor(1343) About Me 

Question 1067884: To produce x liters of water, a person must pay C(x) dollars. Which of the following are the units of C'(a)-the derivative.
a) $
b) lt
c) $/lt
d) lt/$

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Question 1067958: Quadratic Equations: Find real Solutions, show work.
(2-y)^4=3(2-y)^2+1

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Question 1067958: Quadratic Equations: Find real Solutions, show work.
(2-y)^4=3(2-y)^2+1

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Question 1067991:
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Question 1068072: Suppose g(x+1)=4x+5. Evaluate g(2).
Click here to see answer by ikleyn(52752) About Me 

Question 1068149: 1. if f(x) = 6x+7 find the value. f(m)
2. If g(x)=x^2-4, find the value. g(5).

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Question 1067166: given f(x)=(2x+1)/(3x^2-5), find -f(2x)
Click here to see answer by Fombitz(32388) About Me 

Question 1068228: Suppose g(x+1) = 4x+5. Evaluate g(2).



Click here to see answer by josgarithmetic(39613) About Me 
Question 1068228: Suppose g(x+1) = 4x+5. Evaluate g(2).



Click here to see answer by MathTherapy(10549) About Me 

Question 1068245: An entrepreneur builds and sells computers in his store. His cost per computer is $550 after start-up costs of $10,000. His revenue for selling each computer is $1199.99. Assume that he sells every computer he builds. Recall and use the complete function definition form whenever it says "Define a function."
1. Define a function f that expresses his total cost as a function of x, the number of computers he builds.

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Question 1068281: what is the value of g(-5) if g(x)= 3.4x - 8

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Question 1068329:
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Question 1068418: let f(x)=1-x and g(x)=1/x. perform the function operation and then find the domain of the result.
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Question 1066858: given f(x) = [x-2] and g(x)=3/x^+2, find f[f(1)]
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Question 1068458: Suppose f(x) is a linear function such that f(-1/2) = -7 and f(1) = -3. What is f(-3)? Thank you!

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1068458: Suppose f(x) is a linear function such that f(-1/2) = -7 and f(1) = -3. What is f(-3)? Thank you!

Click here to see answer by math_helper(2461) About Me 

Question 1068461: If f(x-2)=3xsquare+2x+2,find f(1)
Click here to see answer by Fombitz(32388) About Me 

Question 1068556: X+Y=3
Click here to see answer by Alan3354(69443) About Me 

Question 1068601: Find the domain
f(x)=-8x+7

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Question 1068555: the rute of a rocket ship model that can be described by the cuadrilatical function y equals negative x minus 12x where the points x and y represent the height (y)of the rocket ship in miters and the time in seconds (x) after the takeoff. Identify the maximum height of the rocket ship and determain the time in which it reaches its maximum height

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Question 1068678: Find(f-h)(x).Given f(x)=x+1 and H(x)2x-3.
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Question 1068682: Find(f-h)(x). Given f(x)=x+1 and h(x)=2x-3
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Question 1067237: Not sure if this is the right section or not.
Anyway, I'm struggling with Piecewise-defined functions. My question is about finding all the values of b that make the function continuous everywhere.
f(x)= (x^2-4)/x-2 x < 2,
[b-cos(pix/2)]^2. x >= 2
Not sure how to solve it help would be great. I think I'm supposed to evaluate each at the limit as x approaches 2 but am not sure.

Click here to see answer by Fombitz(32388) About Me 

Question 1068796: Let g(f) = 4f^2 +4f and let p(m) = m +7.
Evaluate g(p(h)). Simplify.

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Question 1068758: How do I find all values of x for which f(x)>g(x) and when f(x)
The temperature in degrees Celsius (C) can be converted to degrees Fahrenheit (F) using the formula F(C)= 9/5 C+k, where k is a constant. Find k, if to C=−40C corresponds F=−40F.

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Question 1068856: Does the following equation determine y to be a function of x?
y square=x+3

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Question 1068853: If f(f(x)=x2+2 ; f (6) = ?
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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