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

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Question 767672: find the equation of the inverse of the following function
f(x)=6/x+7
y=6/x+7
y=7x+6/x
xy-7x=6
x(y-7)=6
x=6/y-7
f(y)=6/y-7
f(x)=6/x-7

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Question 767749: What is the domain of the function below?
f(x)=x-1/13

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Question 767967: Given the function f(x)=√x+1 and g(x)=6x+a, in a x-y coordinate plane, y=f[g(x)] passes through the point (3,5). What is the value of 'a'?
Click here to see answer by Cromlix(4381) About Me 

Question 768138: Hello,
Please help me solve this. Stuck on it for 2 days and keep getting different answers.
Question: Find the tangent to the curve y = 5x^3 + 2x -1 at x=2. I think y=43, derivative is 30 but really not sure now.
Thanks heaps.

Click here to see answer by Cromlix(4381) About Me 

Question 768303: Use (fog)(4)
1. f(x)=xraised to 2 + 1 and g(x)=x+5

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Question 768512: find inverse function , f^-1(x), given that f(x) = (2x-1)/x+3

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Question 768509: simplify the expression {(f(x+h) - f(x)}/h, h not equal to 0 for
f(x) = x squared -2x + 1
f%28x%29=x%5E2-2x%2B1

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Question 768504: 1. starting with the basic function f(x)= |x|, provide a graph of a new function given by -f(x+3)+2
Click here to see answer by Edwin McCravy(20054) About Me 
Question 768504: 1. starting with the basic function f(x)= |x|, provide a graph of a new function given by -f(x+3)+2
Click here to see answer by AnlytcPhil(1806) About Me 

Question 768513: Find all asymptotes of the function f(x)= (2x+1)/x^2
Click here to see answer by oscargut(2103) About Me 

Question 768907: f(x)=xsquared-2x+3
g(x)=xsquared-2x+5
c=-2
compute (fog)(c)

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Question 768908: (fog)(x):f(x)=8x+13,g(x)=2x-1
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Question 768910: (gof)(x): f(x)= 4x squared+3x+5,g(x)=3x-3
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Question 769010: Volume of a Cone: The volume V of a right circular cone is V = 1/3 r^2 h.
If the height is twice the radius, express the volume V as a function of r.

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Question 769008: Find the domain of the composition function f o g
F(x) = 1/ x-9 ; g(x) = 1/x





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Question 769198: Range of sinx + cosx + 3
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Question 769308: What is the multiple zero and multiplicity of f(x) = (x + 8)(x + 8)(x – 3)(x + 8)?
Click here to see answer by MathLover1(20849) About Me 

Question 769472: Let f(x)=(x^2-8x+12)/(x-2). Find the domain of f(x).
Each time I solve this problem I get (-infinity, 2] U [6, infinity) for the answer. This answer is incorrect, however I'm not sure what I'm doing wrong or how to get the correct answer.
I appreciate your help!

Click here to see answer by John10(297) About Me 

Question 769589: i have to find the domain of the function: y=√(x-3) – √(x+3)
Click here to see answer by solver91311(24713) About Me 

Question 769598: i have to find the domain and i have no idea where to start. please help! y=(x^2+8x+12)/∜(x+5)
Click here to see answer by josgarithmetic(39613) About Me 

Question 770020: State a function rule that matches the input-output table?
x|y
1|7
2|11
3|15
4|19
5|23

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Question 770610: y varies directly as x and inversely as z. y=4/3 when x=3 and z=6. find y when x=4 and z=3
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Question 770612: Please help me solve this function: Determine if the function is a rational function. If so, find the domain and identify the horizontal and vertical asymptotes, and any holes in the graph.
f(x)=(3^x-1)/(x-3)(x+8)

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Question 770611: Cy=-16/3 when x =-4 and z=3. find y when x=11 and z=-3
Click here to see answer by Cromlix(4381) About Me 

Question 770815: f(x)=7|x|
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Question 770813: f(x)=7|x|
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Question 770850: The instructions say determine the domain for each of the following functions. State if the function is continuous or discontinuous and where any holes or asymptotes occur.
f(x) = 2x +6
I can get the domain but don't understand how to tell if the function is continuous or discontinuous and how to determine if there are any holes or asymptotes. Can you please help me understand how to do this?

Click here to see answer by solver91311(24713) About Me 

Question 771027: What is the domain of the function f(x)=-3?
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Question 769588: y=2^(2-x)/x
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Question 770444: What is the one on one functions of G= (-8,7) (-1,0) (1,-3) (7,8) h= 3x-14

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Question 765825: Solve the inequality: 2+|4x-6|<12
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Question 771245: Having trouble finding the x-intercept and asymptote of y = -1/4(2)^(x-4)+5 can anyone help please?
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Question 771374: Given f(x)=–5x+3, find f(a+1).
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Question 771374: Given f(x)=–5x+3, find f(a+1).
Click here to see answer by tommyt3rd(5050) About Me 

Question 771378: How to solve: f(x) = 2x+1

Thanks !

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Question 771395: x^2 - 14x + 49/100x solve for domain
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Question 771606: find the domain and range of each function. write your answer in interval notation. F(x)= x^2-5
Click here to see answer by lwsshak3(11628) About Me 

Question 771622: Determine whether the lines are parallel, perpendicular, or neither.
Y=-3x+1
Y=-3x-8

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Question 771621: What is the slope and y-intercept of 6x+y=10?
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Question 771623: Determine whether the lines are parallel, perpendicular, or neither.
2x-y=-10
2x+4y=2

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Question 771619: What is the slope and the y-intercept of y=3x+1?
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Question 771620: What is the slope and y-intercept of y=-3?
Click here to see answer by oscargut(2103) About Me 

Question 771566: Write the domain and range in interval notation for g(x) = √(x + 1). Please explain your thought process in step by step format. I am completely lost and need help figuring out this equation.
Thank you!

Click here to see answer by josgarithmetic(39613) About Me 

Question 771815: Given f = {(2,1),(3,5),(4,2),(1,4)}, evaluate (f^-1 o f^-1)(2).
Click here to see answer by oscargut(2103) About Me 

Question 772334: For what integer values of n is x-y a factor of x%5En%2By%5En?
I know that x-y is a factor of x%5En-y%5En for all natural values of n but what if it were a '+' instead of a'-'? What values of n will the problem be satisfied?

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

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