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

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Question 705722: Prove the following trigonometric identity
(tan x - sin x) / sin^3 x = 1 / cos x (1 + cos x)

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Question 703323: given the functions f%28x%29+=+x%2B1 and g%28x%29+=+x%5E2%2B3x%2B1, determine a simplified equation for h%28x%29+=+f%28x%29+%2B+g%28x%29
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Question 706627: if the domain of f is [0,11] and the domain of g is [3,13] what is the domain of f+g? I am confused on combining these.
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Question 706843: Simplify

((x^2-16)/(x^2+5x+6))((x^2+5x+4)/(x^2-2x-8))

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Question 703909: x+y=-2
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Question 706938: How can I tell if a graph is a function or not?
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Question 707071: Given f(x)=2x^2+3x+5 and g(x)=3x+4 what is f/g)(2)? I have done the addition, subtraction, and multiplication of this problem but completely forgot how to do division. Any help will be greatly appreciated.
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Question 707097: If f(x)=2x+3
g(x)=x-1 are two functions defined on a set of real number show that [fg(x)] raise to power -1=g raise to power-1[f raise to power-1(x)]. NOTE raise to power is inverse

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Question 707200: Determine whether the equation x+y=9 defines y as a function of x.

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Question 707830: Decide whether each relation defines Y as a function of X. Give the domain and range.
xy=3
Does the relation define a function? - I answered Yes
What is the domain and what is the range?
The answer is Domain = (- infinity, 0) union (0, infinity)
Range = (- infinity, 0) union (0, infinity)
HOW DO I GET THIS ANSWER? WHAT ARE THE SPECIFIC STEPS?

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Question 707837: Evaluate the function at the given value of the independent variable and simplify.
f(x) = 7x + 3; f(3)

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Question 707866: f(x)=(3x^2)+5
If t is a number find f(t+1) and f(t-1) Simplify your answers.
I am totally lost. :( Please help, thanks!

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Question 707912: Given the function f(x) = 2x + 2, what is the value of x if f(x) = 6?
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Question 708154: I need to find b in the following equation
a = b plus c over d, subtract e

a=\frac{b+c}{d}-e
a=%28b%2Bc%29%2Fd-e
i just need to find what the equation would look like if it was b= not a=
thanks

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Question 708131: What is the domain of the following quadratic function?
f(x)=2x^2+5x-7?

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Question 708324: What is the discriminate of x^2-4x+9=0
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Question 708336: I do not understand where to even begin in a problem like this one. Please help me to understand how to reach the answer and why it is so. Thank you! :)
Let (f)x = –2x + 4 and g(x) = –6x – 7. Find f(x) – g(x)

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Question 708336: I do not understand where to even begin in a problem like this one. Please help me to understand how to reach the answer and why it is so. Thank you! :)
Let (f)x = –2x + 4 and g(x) = –6x – 7. Find f(x) – g(x)

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Question 708326: How do you factor 8x^3-27=0
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Question 709128: Please help me solve these equations please! Thank you!
Let f(x)= 2x+3 and g(x)=x^2-x Find Each Value

Problem 1: (f+g)(1/2)

Problem 2: (f*g)(1)


Problem 3:(f/g)(2)

Problem 4: (f of g) (5)

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Question 709286: Hi I have been trying to figure this out for hours. The problem says to "Determine a relation between the x and y-values. Write an equation.". The x-values are 1,2,3,4,5 and the y-values are 2,5,8,11,14. Please help me figure this out. Your help is much appreciated! Thanks!!
Click here to see answer by stanbon(75887) About Me 
Question 709286: Hi I have been trying to figure this out for hours. The problem says to "Determine a relation between the x and y-values. Write an equation.". The x-values are 1,2,3,4,5 and the y-values are 2,5,8,11,14. Please help me figure this out. Your help is much appreciated! Thanks!!
Click here to see answer by josmiceli(19441) About Me 

Question 709273: Find the sum of the first eight terms of the arithmetic series 3 + 5 + 7 + 9 +...
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Question 709394: How do I Find the equation of a secant line containing the given points: (5, f(5)) and (7, f(7)) with the given function F(x)=4x-8?
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Question 709433: Given f(x) = 2x - 1 and g(x) = 2/x+1 for x>-1, find fg(5)
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Question 709492: IS Y=6 A FUNCTION. WHY OR WHY NOT?
THANK YOU.

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Question 709500: I'm trying to solve the following:
f(x)= 1 devided by
(3x+1)^5
How is this solved? does it have a special name,I mean the type of problem?
Id like to search for more to practice. thanx

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Question 709576: Determine the domain and the range of the function. f(x)=sqrt( 3x-2)

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Question 708781: Let f(x)=ax^7+bx^6+cx^3-dx+e, where a,b,c,d, and e be real numbers and a ≠0. Determine the degree, maximum number of turning points, maximum number of zeroes (x-intercepts), maximum number of y-intercepts, and the leading coefficient.
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Question 710216: use f(x)=3x-1 and g(x)=1-x^2 to solve f(g(x))
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Question 710227: A function f(x)=-8x^2 what is f(-3)
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Question 710293: How do I find the Domain and range of this function?
f(x)=2x^2 - x +1

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Question 710470: suppose that for some function g, g(x+5)=3x+2. find g(-2)
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Question 710603: HI,I NEED TO KNOW HOW TO FORM EQUATIONS.
Thank You

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Question 710617: what is the value of of the function h(6)? H(6) = 3x - 4
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Question 710715: 4·(7^x) = 5.5(e^ −3x)
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Question 710677: if f = {(2,5), (3,6),(4,-2), (a,b)} is a function. Which of the following could be (a,b)?
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Question 711149: Find the domain of the function: f(x) = 4x^1/3

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Question 711343: Find the Following:
g(x)=3x^2+5
g(a-5)
g(a-5)=g(a-5)^2+5
The square kind of throws me off...what do I do?

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Question 711569: f(x)=1-4x-x^2
Express the quadratic function in standard form

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Question 711646: Use the function below to find F(5). Use the slash ( / ) to enter fractions if necessary.
F(x)=1/7*3x

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Question 711707: Please help me solve this equation: 4x%2B1=2x%2B12
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Question 711810: I missed a class when sick and now have no idea what or how to do problems that say: Write the domain of the given function using interval notation.
f(x)= x-3

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Question 711810: I missed a class when sick and now have no idea what or how to do problems that say: Write the domain of the given function using interval notation.
f(x)= x-3

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Question 711798: suppose f is a Function that to each positive number v, assigns the amount of time it takes a car, going v miles, to go 120 miles. Is F an increasing function a decreasing function or neither? Explain.
This is confusing to me, there are several problems like this. Can anyone explain? Thank you :)

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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