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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 185770: Could someone please help me graph this function:
Question: f(x)= 3 - 4x
Thanks in advance.
Click here to see answer by Alan3354(30993)

Question 185758:
Click here to see answer by Edwin McCravy(8909)

Question 185755:
Click here to see answer by Edwin McCravy(8909)

Question 185803: rewrite without rational exponents
16 5/7
Click here to see answer by checkley77(12569)

Question 185802: rewrite without rational exponents
16 5/7
Click here to see answer by jim_thompson5910(28598)

Question 185936: I seem to be having problems with the graphing portions. I never know what the graph is going to look like based on the equation. For example, y=(3x^2+4x+4)/(x^2-5x-6). With this problem, I need to find the x-intercepts, the vertical asymptote and (if applicable) the horizontal asymptote. Could you please help me solve this problem? Is there a trick to knowing what general shape your graph will have depending on the equation?
Thank you for your time.
Click here to see answer by stanbon(57387)

Question 185956: Could someone please help me find the equation of the line that goes through the points (-4,2) and (-3,-7). I am terrible at graphing and equations and in need of help. Thanks for your help in advance.
Click here to see answer by Alan3354(30993)

Question 185955: Could someone please help me with step by step instructions on how to graph this function. The question reads: g(x)=x^+3, where x is an integer and -2<= x <=2. I cannot figure this out and in desperate need of step by step instructions. Thanks in advance for your help with this question.
Click here to see answer by Alan3354(30993)

Question 186130: Find the equation of each line in standard form satisfying the conditions given.
through (-3, -1), slope = 1

Click here to see answer by checkley77(12569)

Question 186131: Find an equation of the line in function notation through (2, -6) and perpendicular to -3x - 5y = 2.

Click here to see answer by jojo14344(1512)

Question 186206: Please show work :)
square root of 18 using the product property
Click here to see answer by Mathtut(3670)

Question 186299: I'm not sure which section this would go under...see, I'm in algebra 3. On my review a question says to write the function
f(x)=x^2 + 18x + 77
in standard form. The answer given is f(x)=(x+9)^2 -4.
I understand the (x+9)^2 part, but for some reason I am stumped about the -4. If someone could please help I'd appreciate it greatly. Thanks so much!
Click here to see answer by stanbon(57387)

Question 186306: state the inverse of:
for x is less than or equal to 0
please show work. i know the answer is
thank you thank you thank you!
Click here to see answer by stanbon(57387)

Question 186303: Ok...I'm terrible at the whole finding zeros...if you could give some tips that would be LOVED! Here's the question:
find all real zeroes of the polynomial function
f(x)=x^3 + 9x^2 - 4x - 36
and determine the multiplicity of each
Some help is greatly appreciated! Thanks!!!
Click here to see answer by ankor@dixie-net.com(15660)

Question 186324: Forensic scientists use the folloiwng function to find the height of a woman if they are given the height of her tibia bone t in centimeters.
H(t) = 2.72t + 61.28
Find the height of a woman whose tibia measures 35 centimeters
Click here to see answer by checkley77(12569)

Question 186432: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value.
f(g(0))
g(f(4/5))
thanks for you help.. xo
Click here to see answer by jim_thompson5910(28598)

Question 186434: Find the inverse of each function. Is the inverse a function?

f(x)=3x+2
f(x)=x^2-5
Click here to see answer by stanbon(57387)

Question 186434: Find the inverse of each function. Is the inverse a function?

f(x)=3x+2
f(x)=x^2-5
Click here to see answer by jim_thompson5910(28598)

Question 186431: Let f(x) = 5x – 4 and g(x) = x2 – 1. Find each value.

g(f(-1))

f(g(2))
g(f(0))

Click here to see answer by stanbon(57387)

Question 186400: State the possible number of positive real zeros, negative real zeros & imaginary zero of this function
6. F(x)= 5x^3+8x^3-4x+3
Click here to see answer by kev82(148)

Question 186550:
Click here to see answer by Alan3354(30993)

Question 186580: Solve each equation. State the number and type of roots.
4. x^2+4=0
Click here to see answer by jim_thompson5910(28598)

Question 186433: Find the inverse of each function. Is the inverse a function?

f(x)=(x+2)^2-4

f(x)=4x^3-1
Click here to see answer by feliz1965(151)

Question 186687: 1-13/x+36/x^2=0
Click here to see answer by jim_thompson5910(28598)

Question 186688: 1+3/x=5/x^2
Click here to see answer by jim_thompson5910(28598)

Question 186689: x^-4-3x^-2-4=0
Click here to see answer by jim_thompson5910(28598)

Question 186699: X/2-X+2/X-5=0
Click here to see answer by uday1435(57)

Question 186429: Let f(x) = x2 + 5 and g(x) = x – 7. Perform each function operation. Then find the domain of each.

f(x)/g(x)

f(x)times g(x)

Click here to see answer by uday1435(57)

Question 186722: I need help on this problem.
State the possible number of positive real zeros, negative real zeros, and imaginary zero of this function.
7. r(x)= x^5-x^3-x+1
Click here to see answer by vleith(2825)

Question 186789: I have got a questions are sqrt(625) and sqrt(48) rational or irrational?
Click here to see answer by checkley77(12569)

Question 186805: Simplify the expression.
x over x^2+2x-3 subtracting 1 over x^2+2x-3
I worked it out to: 1 /x-3
Am I correct?
Click here to see answer by scott8148(6628)

Question 186941: List all of the possible rational zeros of this function.
12. f(x)=x^3+6x+2
Click here to see answer by jim_thompson5910(28598)

Question 187028: Directions: Solve each equation. State the number and type of roots.
Problem: -5x-7=0
I have: -5x-7=0
+7+7
-5x/-5=7/-5
x=-1.4

Click here to see answer by stanbon(57387)

Question 187057: List all the possible rational zeros of this function.
13. h(x)=x^3+8x+6
Click here to see answer by jim_thompson5910(28598)

Question 187061: List all the possible rational zeros of each function
14) f(x)= 3x^4+15
p=(+or-)1: (+or-)15: (+or-)3: (+or-)5:
q= (+or-) 3 "
if q isn't right then, how would you know what is q?
Click here to see answer by jim_thompson5910(28598)

Question 187067: List all the possible rational zeros of each function
15. n(x)=x^5+6x^3-12x+18
p= (+or-)2; (+or-)9; (+or-)3; (+or-)6 (+or-)18
q= (+or-) 1
1/2, 1/9, 1/3, 1/6, 1/18
Rational Zeros
1,9,3,6,18

I'm wondering if i solved this problem correctly?
Click here to see answer by jim_thompson5910(28598)

Question 187071: a^+2a+1/2a^+3a+1
Click here to see answer by Alan3354(30993)

Question 187071: a^+2a+1/2a^+3a+1
Click here to see answer by jim_thompson5910(28598)

Question 187074: List all the possible rational zeros of each function
16. p(x)=3x^3-5x^2-11x+3
p= (+or-)1, (+or-)3
q= (+or-)1, (+or-)3
1/1, 1/3, 1/-3, -3/-3
rational zeros
1,3,-3
Making sure if i did the division & simplifying part correct?
Click here to see answer by jim_thompson5910(28598)

Question 187076: Find all of the rational zeros of each function
22. f(x)=2x^5-x^4-2x+1
Click here to see answer by jim_thompson5910(28598)

Question 187079: Find all of the rational zeros of each function
26. p(x)= x^3+3x^2-25x+21
p= (+or-)1, (+or-)3, (+or-)7, (+or-)21
q= (+or-)1
1/1 1/3, 1/7, 1/21
Click here to see answer by jim_thompson5910(28598)

Question 187284: graph y=square root 2x-8

Click here to see answer by Alan3354(30993)

Question 187317: What are the steps in doing this problem? My algebra 2 teacher isn't very good at explaining
Click here to see answer by user_dude2008(1861)

Question 187327: I have a math project for school and it involves finding the equations of the following companies' data. I know how to graph these and the equations for each part of each graph; however, I don't know how to find an equation that will take into account the change in cost per minute. Thanks for any help!
Here is the data:
Company A: $30 fee, 10 cents a minute for the first 300 minutes, then 8 cents a minute after that.
Company B: No fee, 25 cents a minute for 200 minutes, 10 cents a minute for the next 500 minutes then 5 cents a minute.
Company C: $50 flat fee for the first 500 minutes, then 10 cents per minute.
Click here to see answer by stanbon(57387)

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