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

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Question 22686: If f(x)=5x+2 and g(x)=-2x find the following.
1. f(0)+2f(2)
2. f(g(-2))
Thank you for your time.
- Jennifer
Click here to see answer by stanbon(26297)

Question 22837: This is actually rational expressions, multiplying and simplifying them. I know the formula A/B * C/D= AC/BD but I dont think I am using it correctly! The problem is :
Multiply and simplify
x^2 - 36/ x^2 * x^2 - 6x/ x^2+2x-48
Any help would be great! The ^2 means squared and * is the multiplication symbol. Thank you! Thank you!

Click here to see answer by stanbon(26297)

Question 22914: I was told to solve by factoring.
4x^3-28x^2+49x>0
I thought that with factoring you have to have x2 x and a number. For some reason my mind is going blank. Please help if you can.
Click here to see answer by Earlsdon(4900)

Question 22913: ((7)/(x^2-4x-21))+((2)/(x^2-2x-35))
This is another example of one of the problems giving me trouble. The whole getting a common denominator is getting me mixed up. If somebody could help me out I would really appreciate it.
Click here to see answer by venugopalramana(3286)

Question 22912: ((x-2)/(x-1))+((x-3)/(2x-5))=1
I was told to solve this equation but im having a heck of a time. The whole =1 thing is killin me and throwing me way off. Please help if you can.
Click here to see answer by venugopalramana(3286)

Question 23004: wuts the inverse of f ( x ) = 2x + 5
Inverse of the function is: (x-5)/2
Click here to see answer by mshariftahir(2)

Question 22615: I need help solving the problem----------------> ln x+ ln(x-2)=1
Click here to see answer by venugopalramana(3286)

Question 22911: ((x)/(x-4)-(2)/(x+3))/((x^2-4x)/(2x+6))
These problems are giving me a hard time I know you have to get a common denominator and everything but for some reason i get stuck.
Click here to see answer by rapaljer(3622)

Question 23075: (x^4+x^3-2X^2)/(X^4-x^3)please help me simplify

Click here to see answer by stanbon!(97)

Question 21279: perform the indicated operation, simplify the answer, show work please
x/x-3 + 2/3x+4
i had trouble finding the LCD, please help and solve, thank you
Click here to see answer by stanbon!(97)

Question 22588: how do you solve (x^2\16)+ (y^2\16)=1 y=x+3
Click here to see answer by stanbon!(97)

Question 23159: 1. Factor x⁸ - 256
2. Multiply out, collect terms and arrange in descending order
(2x - 3)(x + 1)(3x - 2)
Click here to see answer by AnlytcPhil(958)

Question 21563: can you please solve over the reals, the sqrt 2x-1 minus the sqrt x-1 = 1
Click here to see answer by stanbon(26297)

Question 22187: How do I do this? (a squared minus 36 over 10a)multipliied by (2a over a+6)
Click here to see answer by NaiXLG(18)

Question 22450: I need help with adding rationals numbers and fractions with and without using a number line. Here is three problems can you help solve them and graph each one. Please I have exams tomorrow and a I really need help!

1.) -3/5+(-2/15)=
2.) -44+(-3/8)+95+(-5/8)=
3.)-455+(-123)+1026+(-919)+213+111+(-874)=
Click here to see answer by eclecticist(12)

Question 22188: How do I do this?
(10-5t over 3)multiplied by (12t over t-2)
Click here to see answer by eclecticist(12)

Question 22188: How do I do this?
(10-5t over 3)multiplied by (12t over t-2)
Click here to see answer by rapaljer(3622)

Question 22760: How do you multiply and divide rational expressions then write the answers in simplest form? How do you know if there are any restrictions on the variables?
Click here to see answer by stanbon(26297)

Question 21272: Given the points" A(2,6) B(-4,10) C(8,15)
Answer the following: Equation of AB in slope intercept form?? How do you do this?
Click here to see answer by rapaljer(3622)

Question 22189: How do I do this?
(x squared +1 over x-2)multiplied by (2x+1 over x+1)
Click here to see answer by rapaljer(3622)

Question 21017: what are the x and y intercepts and horizontal and vertical asymtotes for the equation
y=4-x/5x^2-4x-1
and how do you graph it
Click here to see answer by rapaljer(3622)

Question 21838: I think i did this problem right, but it still seems wrong.
Question: 7a/15b^2 + b/18ab
What I have done: 42a^2/90ab^2+ 5b^2/90ab^2
=47a^2b^2/90ab^2=47a/90

Click here to see answer by stanbon(26297)

Question 21275: Given the points: A(2,6) B(-4,10) C(8,15)
Write an equation of BC in Slope Intercept form. How do you do this
Click here to see answer by stanbon(26297)

Question 22118: I have to find the formula for the rational function graphed below. Its a graph that says y=g(x), x=-2, and there are points at (-1,0), (0,5). Any help I would appreciate. Thank you.
Click here to see answer by stanbon(26297)

Question 21276: Given the points: A(2,6) B(-4,10) C(8,15)
Answer:
A line parallel to AB, through point C
Click here to see answer by venugopalramana(3286)

Question 23279: Please show me how to solve this rational equation step by step
h = s-2(pi)r^2/2(pi)r for s
Any help will be greatly appreciated.
Thanks
Click here to see answer by rapaljer(3622)

Question 23382: Solve the rational inequality. State and graph the solution set. Can someone help?
x/x+2>-1

Click here to see answer by rapaljer(3622)

Question 23383: solve and graph the inequality. Can someone help me answer this?
x+3/x less than or equal to -2

Click here to see answer by rapaljer(3622)

Question 20983: 3(x+2)(x-3)(x+9)=0
Click here to see answer by venugopalramana(3286)

Question 23428: (x/x+y)+(x/x-y)
Click here to see answer by AnlytcPhil(958)

Question 23428: (x/x+y)+(x/x-y)
Click here to see answer by rapaljer(3622)

Question 23659: -1/-2+1=5/4+1

Click here to see answer by rapaljer(3622)

Question 23656: (Graphing)-What is the diffreence between continuous and discrete graphs?
Click here to see answer by rapaljer(3622)

Question 23706: Why don't you divide by a radical???
Click here to see answer by longjonsilver(2297)

Question 21196: X2 - 2x- 15 < 0 solve the inequality algebraically
Click here to see answer by venugopalramana(3286)

Question 24030: Express each ratio as a fraction in simplist form:
155:220
11 teachers to 275 students
64inches to 1 1/2 feet
45mins to 8hrs
14oz to 5pds
.65cents to $4.50
18 weeks to one year
Click here to see answer by PeterC(8)

Question 24071: Hello,
I need help please answering this question:
100w squared minus 9 equals zero
Thank you,
Loletha
Click here to see answer by askmemath(368)

Question 24069: I am preparing to take an Alegra II class and I was doing some practice problems in the book when I came across:
2w squared = 13w + 7
I keep comig up with this problem having a non-solution.
Thank you for your help.
Loletha
Click here to see answer by askmemath(368)

Question 24271: Decide whether each relation is a function. Explain.
Y=x^4
Click here to see answer by venugopalramana(3286)

Question 24421: I can't seem to get this no matter how hard I try, think you can show me what I am doing wrong? I thank you in advance for using your own personal time to help an idiot like me.
For the function y=x squared -4x-5, perform the following tasks:
a) Put the function in the form y=a(x-h)squared+k.
b) What is the line of symmetry?
c)Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y=a(x-h)squared+k.
d) How does this graph compare to the graph of y=x squared?
Click here to see answer by josmiceli(3013)

Question 24503: I can't get this problem, I have worked on it but i just cant get it.
Simply each rational expression:
9x(squared)-15x+25 divided by 27x(cubed)+125

thanks for your help
Click here to see answer by Earlsdon(4900)

Question 24649: The directions say to perform the indicated operations:
9xsquared ysquared divided by 42xyto the fifth times 6 divided by x to the fifth
heres the work i have done: (9xsquared ysquared)(6) divided by 42x to the fifth y to the fifth
please help me!! Thanks!
Click here to see answer by stanbon(26297)

Question 24707: Given a polynomial and one of it's factors,find the remaining factors of the polynomial.Some factors may not be binomials.
solve for three x cubed plus ten x squared minus x minus twelve divided by x plus three.
Click here to see answer by venugopalramana(3286)

Question 24284: What is the equation of the vertical asymptote of the function ?
Click here to see answer by rapaljer(3622)

Question 24786: Directions say to find the LCD(least common denominator):
1divided by 6y, 3xdivided by 4y+12
heres the work i have done:
1 divided by (y+2)(y+3), 3x divided by 4(y+3)
thanks!
Click here to see answer by AnlytcPhil(958)

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