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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 77254: the graph of the equation y=x^2+2x-8 where does it intersect the x-axis?
Click here to see answer by jim_thompson5910(28595)

Question 77211: Please help.
Graph the inequality.
x – y "is greater than or equal to sign" 2

Click here to see answer by ankor@dixie-net.com(15656)

Question 77433: k{x)=4-x/x2-9

(find the zeros of the function)
Click here to see answer by jim_thompson5910(28595)

Question 77620: cube root of -27a^9b^2
Click here to see answer by checkley75(3666)

Question 77624: (s 2/3 power x t 1/2 power)(s 1/2 power x t 1/5 power) =
Click here to see answer by stanbon(57361)

Question 77623: (7 a squared x b cubed) to 1/2 power (7 a squared x b cubed) to negative 1/2 power =
Click here to see answer by stanbon(57361)

Question 77635: f(x) = 2x^2 - 1 and g(x) = 3x + 2
Find each value.
f(g(-2))
g(f(sqrt2))
Click here to see answer by stanbon(57361)

Question 77634: Find the inverse of each function. Is the inverse a function?
f(x) = (x-1)^2 + 3
Click here to see answer by stanbon(57361)

Question 77634: Find the inverse of each function. Is the inverse a function?
f(x) = (x-1)^2 + 3
Click here to see answer by Edwin McCravy(8909)

Question 77632: Rewrite each function to make it easier to graph using a translation. Describe the graph.
y = (cubert 64x + 128) -4
Click here to see answer by stanbon(57361)

Question 77622: b to the 3/4 power times b to the 1/2 power =
Click here to see answer by tutorcecilia(2152)

Question 77758: y= - sqrt(x-1)+1
graph and find the domain and range
Click here to see answer by stanbon(57361)

Question 77753: Please help me solve this problem..... i cant find anyone that knows how to do this: the direction are graph and find the domain and range to each function.
y=sqrt x+1 not in sqrt -3
if anyone could help i would appreciate it!!

Click here to see answer by checkley75(3666)

Question 77815: Simplify the following expression by rationalizing the denominator. Write the result in simplest form.
3 over the cube root of 2
Click here to see answer by Earlsdon(6287)

Question 77815: Simplify the following expression by rationalizing the denominator. Write the result in simplest form.
3 over the cube root of 2
Click here to see answer by ptaylor(2048)

Question 77921: 20x+50 over 15x-30
I have to simplify this. Here is what I did:
((20+50))/((15x-30)) = ((4x+10))/((3x-6)) = ((2(2x+5)))/((3(x-2)))
Please tell me if this is right. I hope so! This is for a test.
Click here to see answer by stanbon(57361)

Question 78035:
Click here to see answer by Edwin McCravy(8909)

Question 78012: Could someone please help me with this problem: (12x^4+9x^3-10x^2)/3x^3. I don't know if I'm in the right section or not, but please help! Thank you.
Click here to see answer by ankor@dixie-net.com(15656)

Question 78079: How do you describe the end behaviors?
Click here to see answer by stanbon(57361)

Question 78097: I need to simplify this and have no idea what I am doing
6-y
_______
y^2-2y-24
Click here to see answer by Earlsdon(6287)

Question 78013: I really need help in solving the following problem: (4x^4-6x^3+x+7)/(2x-1)Please help! Thank you.
Click here to see answer by josmiceli(9686)

Question 78251: Problem: Find all the real zeros of the polynomial. Use the quadratic formula if necessary.
P(x)= x^3 + 4x^2 + 3x -2

I tried all the possible zeros with synthetic division and none came up as a zero. I think I am going wrong with division somewhere. Thank you.
Click here to see answer by rmromero(383)

Question 78424: Ok... the problem is (1/x)-(1/3)=(6/x^2). The instructions are to Solve the equation. I tried the problem and i got No Solution. I'm not really sure if this is the correct answer. I don't really understand this area in the chapter very much at all. Your help would be very Appreciated! Thanks!
Click here to see answer by jim_thompson5910(28595)

Question 78447: The Problem is (15/x)+((9x-7)/(x+2))=9. I understand now how to do the simple equations but i just get confused when i see long denominators. I don't know how to find the LCM very well.
Click here to see answer by stanbon(57361)

Question 78469: I need to find the domain,range, y-intercept,x-intercept and symmetry for Y=1/x-5. So for I have the Domain as (infinite,5) u (5,infinite) and my Range at x=1-5/y .That is as for as I have been able to get. Please help me!!

Click here to see answer by stanbon(57361)

Question 78601: I need to graph and find the X and Y-intercepts and range for y=[X-2]
Click here to see answer by stanbon(57361)

Question 78596: I am confused. I need to fnd the x-intercept, y-intercept, and range for the following: Please help!
Click here to see answer by checkley75(3666)

Question 78916: I'm really having trouble solving this problem. Help! v over 3 + v over v+5=-4 over v+5. I hope I'm writing it out where it is understandable.
Click here to see answer by mathdoc314(58)

Question 78922: x2-14x+49/4x* 2x/x-7
Click here to see answer by funmath(2925)

Question 79102: Ok, i'm working with inverse variations. I have to find out the constant of variation by looking at two points. An example of one of the problems is like this: "(4,1) The point is from a model for inverse variation. Find the constant of variation." How do you find the constant of variation, or more importantly, what do all these terms mean?
Click here to see answer by stanbon(57361)

Question 79143: Graph the following polynomials by using the zero product property and end behavior.
y= -(x+5)(x-3)(x-6)
y= (x+4)^2(x-1)(x-3)
Click here to see answer by stanbon(57361)

Question 79262: f(x) = 5x + 21/x; f(x) = -38
Click here to see answer by checkley75(3666)

Question 79289: Identify all asymptotes and holes in the graph of each rational function:
f(x)= 3x^2+x-4/x^2+2x-3
please help if you can! all i know how to do is to factor the denominator
Click here to see answer by stanbon(57361)

Question 79349:

I am supposed to use the above pattern to simplify the powers of i.

Please help
Please help
Click here to see answer by chitra(359)

Question 79349:

I am supposed to use the above pattern to simplify the powers of i.

Please help
Please help
Click here to see answer by josmiceli(9686)

Question 79352: I cant figure out how to enter the square root symbol into this program?
But the question reads:
2 sq. root of x + 3 sq. root of y divided by sq. root of x - 4 sq. root of y.
I am supposed to simplify this one. Please help me
Click here to see answer by stanbon(57361)

Question 79381: given that f(x)=3x-5 and g(x)=3-7x, find
a.) (f)(g)(-2)
b.) (g)(f)(x)
C.) f(f)(x)
Click here to see answer by tutorcecilia(2152)

Question 79574: i'm having problem finding the domain ... is there a simpler way to find the domain? f(x)=5x/x-1

Click here to see answer by stanbon(57361)

Question 79606: given c=(b)*(d/a)*(834 a=1,000,000 b=250 d=8,400
Click here to see answer by chitra(359)

Question 79627: really need this answer
1)Graph f(x)=(x^2 - 4)/(x - 2) using a graphing calculator. Using a standard window with the trace feature, trace the graph to x=2. What happens?
2. Why is there a "break" in the line at x=2? Why is the graph a line without a vertical asymptote at x=2? If x is "close to" 2, what is the y value "close to"?
Create a function that has either a hole, a break, or an asymptote in the graph.

Click here to see answer by stanbon(57361)

Question 79274: Identify all asymptotes and hole in the graph of each rational function:
b(x)=x+6/2x-1
your help would be greatly appreciated
Click here to see answer by stanbon(57361)

Question 79630: How do I proceed with this problem?
Find a, b, and c such that the graph of y= ax^2 + (b times the square root of x) + c goes through the points (0,3), (1,-1/2), and (4,3). Any help would be much appreciated.
Click here to see answer by Edwin McCravy(8909)

Question 79722: I need help simplifying complex fraction:
8/x+11
--------
1/6x-1

Thank you

Click here to see answer by Edwin McCravy(8909)

Question 79750: Hi, I'm completely lost as to how to do this problem:
Decompose into partial fractions 2x+1/x^3-2+4
Any help would be much appreciated!
Click here to see answer by Edwin McCravy(8909)

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