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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 638943: Please help me in this.
Click here to see answer by jim_thompson5910(28595)

Question 638943: Please help me in this.
Click here to see answer by MathLover1(6632)

Question 639085: simplify. 2x^2 - 18 / 18 - 6x = ?/-3
Click here to see answer by MathLover1(6632)

Question 639140: Please help!! i have to answer these two questions:
1)Solve and check
25x^2 - 24x = 0
2) Find the domain of the rational function.(answer in interval notation)
f(y)= y+8 divided by y^2-8y

Click here to see answer by Tatiana_Stebko(1326)

Question 639157: Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form.

Click here to see answer by Tatiana_Stebko(1326)

Question 639157: Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form.

Click here to see answer by MathLover1(6632)

Question 639208: What is the simple expression for 5(3•5-4)
Click here to see answer by jim_thompson5910(28595)

Question 639422: please help me solve. The students in my class are wearing 6 more green shirts than yellow shirts.
The ratio of green shirts to yellow shirts is 5:3.
Find the total number of shirts
Click here to see answer by ankor@dixie-net.com(15652)

Question 639607: Find the zeros of this function: g(x)=2x+x^2-24
Click here to see answer by solver91311(16885)

Question 639905: For what value of x is the rational expression below undefined?

Click here to see answer by Edwin McCravy(8909)

Question 639970: Find the domain of the expressions:
1. 1/x-2

I know if x=2, then the equation wouldn't work. So is the domain anything but two? How would I write that?
2. square root of x+1
no idea...?
Click here to see answer by MathLover1(6632)

Question 640545: Is this correct: 3(x-2)-2(x+7)=2x+17
3x-6-2x+14=2x+17
x+8=2x+17
-9=x
Click here to see answer by jim_thompson5910(28595)

Question 640636: What is the solution of 3(x-2)-2(x+7)=2x+17?
Click here to see answer by jim_thompson5910(28595)

Question 640821: What is the vertical asymptote of y = (x+4)/(x^2+1) ?
Click here to see answer by lynnlo(4164)

Question 640816: If I was given a graph of y=f(x) and the graph has points: (-4,0), (0,2), (2,-2), (3,0) connected in that order. How would I sketch the graph of y = f(x-1)?
What about y=|f(x)|?
What about y=f|x|?
Click here to see answer by Edwin McCravy(8909)

Question 639554: What would be the equations of the vertical asymptote(s) and horizontal asymptotes of these functions?
1. y = (x+4)/(x^2+1)
2. y = (x^2-x-6)/(x^3-x^2+x-6)
3. y = 2x^3 / (x^3-1)
4. y = root(x) / (2x^2 - 10)
Click here to see answer by lwsshak3(6505)

Question 642345: Please help me answer this question:
Find and simplify the difference quotient [f(x+h)-f(x)]/h for the given function.
f(x) = 6
Click here to see answer by jim_thompson5910(28595)

Question 642370: 12-d>-8
Click here to see answer by jim_thompson5910(28595)

Question 643097: Sketch the graph of the rational function r(x)=3x^2+x-4/2x^3-5x.
Click here to see answer by stanbon(57347)

Question 643090: Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6 with a domain where x = all real numbers, and x is ≤ k. F is a one to one function, and I am to determine the greatest possible value of k. When k has that value, I am then to determine the range of f, and then the inverse function f^-1 and state its domain and range. After that I am to graph f(x) and f^-1(x). I believe I know how to find the value of k; it's just asking for the upper limit of the domain of the function given. I think to determine the range you can complete the square and put the equation into standard parabola form and so determine the vertex from that, using the y point of the vertex and the fact that it is either an up/down parabola (I believe this one is up) to find the range. I'm just having trouble finding the inverse function. When I switch the x's and y's from the original equation and try to solve for y I seem to get stuck. I know how to find the domain and range from there and I am fairly certain I can graph the equation. I just need help finding the inverse function. Please help? :)
Click here to see answer by solver91311(16885)

Question 643214: factor each completely
3r^2-4r-15
7x^2-79x+90
5x^2-28x+15
5n^2+9n+4
7b^2-32b-60

Click here to see answer by lynnlo(4164)

Question 643518: Says to solve the equation, graph the solution set, then write in interval notation
2≤4x-10≤6

Keeps saying my answer is wrong but wont tell me which part
Click here to see answer by jim_thompson5910(28595)

Question 643539: Given f(x) = 3 + x^2
Find f(x + h) - f(x)

Click here to see answer by solver91311(16885)

Question 644101: Find all real and imaginary roots of this equation: x^2-2x+6=0
Click here to see answer by lwsshak3(6505)

Question 644320: What is 4(p-2)-3(p^2+5p)?
Click here to see answer by jim_thompson5910(28595)

Question 644740: Please help me solve these 2 questions:
1. Find the domain and range of the function: f(x) = |x − 6|
2. Find the domain and range of the function: f(x) = 4-x^2

Click here to see answer by lynnlo(4164)

Question 644892: I need help finding the zeros of:
F(x)= 4x^3-24x^2-x+6=0
Click here to see answer by MathLover1(6632)

Question 644892: I need help finding the zeros of:
F(x)= 4x^3-24x^2-x+6=0
Click here to see answer by stanbon(57347)

Question 644966: f(-2) + g (4)
Click here to see answer by asuar010(324)

Question 644950: Find all real zeros of the function:
h(x)= x^5+15x^4+72x^3+80x^2-225x-375
Click here to see answer by lwsshak3(6505)

Question 645385: find the lcd of rational algebraic expression
1. a , b
____ ____
15x 5y
thanks
Click here to see answer by nerdybill(6958)

Question 645944: Find the distance: leave answer in simplest radical form (-1,7) and (8,4)
Click here to see answer by MathLover1(6632)

Question 646824: -1
x
___
-2 -2
x + y
Click here to see answer by stanbon(57347)

Question 646824: -1
x
___
-2 -2
x + y
Click here to see answer by MathLover1(6632)

Question 647235: The Directions state, Fine the Domain of each ration expression. My teacher wrights her answers like this. The problem is x-3/x+2 {x|x= -2}
I am looking for help on this problem x^2-1/x-5
Click here to see answer by aaronwiz(69)

Question 647239: Directions are: Find the domain of each rational expression. My teach answered this problem like this x-3/x+2 {x|x=-2|
my problem is x^2-1/x-5 How do I find the answer?
Click here to see answer by MathLover1(6632)

Question 647400: graph the function -3x^3+9x^2-2x+3
Click here to see answer by jim_thompson5910(28595)

Question 647495: Find the distance between the following points.
(8,5) and (0,20)
Click here to see answer by jim_thompson5910(28595)

Question 647495: Find the distance between the following points.
(8,5) and (0,20)
Click here to see answer by swincher4391(726)

Question 647909: Write the equation in slope-intercept form and standard form: Through (-2,7); perpendicular to x=9.
Click here to see answer by solver91311(16885)

Question 648145: If a man makes $1,000.00 for 4 minutes and 48 seconds of work; how much will he make for 3 hours and 50 minutes?
I converted time to seconds and tried 1,000 over 28 equals x over 590 but that didn't work. Thank you for your help.
Click here to see answer by DrBeeee(378)

Question 648336: Hi,
It has been many years since I've done any Math, and I forgot how to do some simple stuff. Could you please help me to do the steps for this problem?:
1/4=P(A)/(1-P(A)) - - I multiply both sides by the denominator to isolate P(A)
(0.25)(1-P(A))=P(A) - - I multiply both sides by 4/4 to convert to a decimal
0.25-(0.25)P(A)=P(A) - - distribute
0.25=(1.25)P(A) - - ?
P(A)=0.25/1.25 - - ??
P(A)=0.20 .
Thank you very much for your help.
Stephanie

Click here to see answer by Alan3354(30993)

Question 648860: Solve for r. R(s + r) = sr
Click here to see answer by swincher4391(726)

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