Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Question 308451: What is the graph of this vertical function: f(x)= x/x+2
Also, I need to know the vertical, horizontal, and slant asymptotes.
I know one asymptote has to be x=-2 and that the y-axis should shift over to the left 2 but I'm confused on how you graph it.
Click here to see answer by rapaljer(4667)

Question 308553: Use the 4 step process to find the inverse for each function. Is the inverse a function? Show your work!!!
f(x)=5x-3
Click here to see answer by ankor@dixie-net.com(15660)

Question 308600: A super flying squirrel with a pink cape can fly 340 mph in still air can fly 200 miles downwind in the same amount of time that it can fly 140 miles upwind. The velocity of the wind is 60 mph. True or false?
Click here to see answer by mananth(12270)

Question 308634: 1/t+1/3=8/3t
Click here to see answer by mananth(12270)

Question 308568: Suppose a function P=13+45 In x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000. Use this model to determine the percentage of spam in the year 2003. Round your answer to two decimals places.
Click here to see answer by Fombitz(13828)

Question 308935: Let f(x)=4+5x and g(x)=2x-1. Find f(g(x)) and g(f(x)).
If you could explain how to get this answer, I would greatly appreciate! I know how to find f*g and f/g and simple things like that but the parenthesis are confusing me!
Click here to see answer by Earlsdon(6287)

Question 308988: Find any points of discontinuity for the rational function.

a) x=1,x=7
b) x=8
c) x=1,x=-7
d) x=-1,x=7
Click here to see answer by jim_thompson5910(28598)

Question 308966: y=(x+1)(x-2)
Click here to see answer by edjones(7569)

Question 308941: What is the inverse of
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Question 309022: f(x)= x squared + 5x + 1
Click here to see answer by hmougey(2)

Question 308994: Dave can dig a ditch in 6 hours, and Sam can dig a ditch in 4 hours. Frank can fill a ditch in 8 hours. If Dave and Sam dig a ditch while Frank tries to fill it, how long does it take to dig the ditch altogether?
Click here to see answer by mananth(12270)

Question 309052: Evaluate the series

a. 26
b. 10
c. 16
d. -6
Click here to see answer by Fombitz(13828)

Question 309007: Write the explicit formula for the sequence. Then find the fifth term in the sequence. ,
Click here to see answer by Fombitz(13828)

Question 308999: Multiply or divide. State any restrictions on the variables.

a) , z does not equal -1, -3
b) , z does not equal -1, 0, -3
c) , z does not equal -1, -3
d) , z does not equal -1, 0, -3

Click here to see answer by Fombitz(13828)

Question 309115: Suppose that y varies jointly with w and x and inversely with z and y = 360 when w = 8, x = 25 and z = 5. Write the equation that models the relationship. Then find y when w = 4, x = 4 and z = 3.
a. ; 48
b. ; 15
c. ; 80/30
d. ; 27/16
Click here to see answer by stanbon(57387)

Question 308977: Suppose that y varies jointly with w and x and inversely with z and y=360 when w=8, x=25, and z=5. Write the equation that models the relationship. Then find y when w=4 and z=3.
Click here to see answer by ankor@dixie-net.com(15660)

Question 308975: Suppose that x and y vary inversely and that y=1/6 when x=3. Write a function that models the inverse variation and find y when x=10.
a) ;
b) ;
c) ;
d) ;

Click here to see answer by ankor@dixie-net.com(15660)

Question 309123: how would u solve 5/2x - 4/x= -3 ?
Click here to see answer by nyc_function(2733)

Question 309112: Suppose that x and y vary inversely and that y=1/6 when x=3. Write a function that models the inverse variation and find y when x=10.
a. y=1/2x ; 1/20
b. y=1/6x ; 1/20
c. y=1/6x; 1/6
d. y=1/18x ; 1/54
Click here to see answer by richwmiller(9143)

Question 309222: A rock falls from a clift that is 80 feet high. The function h=-16t^2+80 gives the height of the rock after t seconds.
A. Graph the function
B. What values make sense for the domain?
C. What values make sense for the range?

Please Help me Solve this
Click here to see answer by stanbon(57387)

Question 309218: 1/4w-4 - 1/2w*2w
Click here to see answer by checkley77(12569)

Question 309228: I need to know how to write an equation for an ellipse with the given information. Don't just give me the answer, I want to learn it please. :)
endpoints of major axis (0,6) and (0,-6) endpoints of minor axis (-3,0) (3,0)
Click here to see answer by scott8148(6628)

Question 309062: A storage container will have a circular base of radius r and a height of r. The container can be in the shape of either a right circular cone or a hemisphere (half a sphere).
a. Write and simplify an expression for the ratio of the volume of the hemispherical container to its surface area (including the base.) For a sphere, and S.A.= .
b. Write and simplify an expression for the ratio of the volume of the conical container to its surface area (including the base). For a cone, and S.A. =
On the very last equation above ^ the r^2 + h^2 should be in the square root, I couldn't figure it out...

Click here to see answer by Alan3354(30993)

Question 309475: Sir/Madam:
Here is the link of the question.
http://img198.imageshack.us/img198/9893/maths3.jpg
Only Question 16 is to be answered. Actually, the problem lies in 16(c). If you got the answer, please explain it to me.
Click here to see answer by Fombitz(13828)

Question 309521: Determine the value(s) of x so that each rational expression is undefined.

Click here to see answer by stanbon(57387)

Question 309526: Multiply the rational expression.
*
Click here to see answer by stanbon(57387)

Question 309528: Add the rational expression.
+
Click here to see answer by Fombitz(13828)

Question 309551: What is log 10 100
Click here to see answer by jim_thompson5910(28598)

Question 309554: Solve each rational equation. Be sure to check for extraneous solutions.
+=
Click here to see answer by mananth(12270)

Question 309891: reduce each answer to lowest terms.
3/x+1 + 2/x-1
Click here to see answer by mananth(12270)

Question 309888: reduce the following expression to lowest terms.
r^2-s^2/s-r
Click here to see answer by jim_thompson5910(28598)

Question 310015: how do i find the ratio of 45:315
Click here to see answer by rfer(12670)

Question 310110: i need help solving this equation:
3y2-x2=25
Click here to see answer by Alan3354(30993)

Question 310146:
For what value(s) of y is this expression not defined?

Click here to see answer by Edwin McCravy(8909)

Question 310172: Subtract:

Click here to see answer by mananth(12270)

Question 310172: Subtract:

Click here to see answer by JBarnum(2044)

Question 310307: f(x)=4x+3 g(x)=-2x+5 (fog)(5)
Click here to see answer by Fombitz(13828)

Question 310360: y/4+2y
Click here to see answer by Fombitz(13828)

Question 310411: Find the zeros of the function by factoring or algebraically:

please note the x^3 was meant to be atop the fraction with the 36x so it should be x^3-36x atop the fraction.
Click here to see answer by solver91311(16897)

Question 310403: Find the domain of the function:

Click here to see answer by solver91311(16897)

Question 310412: Given , consider the translation 4 units to the left and 3 units upward. Give the translated function.
Click here to see answer by josmiceli(9697)

Question 310488: (5-x)^1/2 = x + 1 ... solve
(3x + 2)^1/2 - (2x + 7 ) 1/2 = 0 ... solve
thank you!!!!
Click here to see answer by stanbon(57387)

Question 310494: How do u sketch y=-2+1
Click here to see answer by JBarnum(2044)

Question 310502: Simplify:

(27B^1/3C^3/4 ) ^4/3 (-------------) ( 8B^-2/3C^1/2)

Entire expression is in parenthesis with outer exponent 4/3
Click here to see answer by jim_thompson5910(28598)

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