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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 133535: graph: f(x)=x^3-x^2-4x+4
Click here to see answer by checkley71(8403)

Question 133529: Graphing the equation y=x-7 and 2x+5y=10
Click here to see answer by checkley71(8403)

Question 133534: Divide:

x^3+4x^2-5x+44
____________
x+6

Click here to see answer by jim_thompson5910(28593)

Question 133538: Let f(x)=x+1 and g(x)=6 /x+1
Find (f*g)(1)
Here is what I have, but it seems to be incorrect. Can you please let me know where I've gone wrong?
f=1+1 and g=6/1+1
f=2 and g=6/2
f=2 and g=3
(2*3)=6
This is how I completed this one, but when I took my test, six was not the correct answer. Unfortunately, the correct answer is not given. I am curious to see what I did wrong.
Click here to see answer by vleith(2825)

Question 133759: Hi the section im working on is solving rational equations. Heres the problem i need help on:
1 + 2/x = 3/x^2
Thank you!
Click here to see answer by SoOoDumb(14)

Question 133759: Hi the section im working on is solving rational equations. Heres the problem i need help on:
1 + 2/x = 3/x^2
Thank you!
Click here to see answer by Earlsdon(6287)

Question 133758: Hi im working on the chapter Rational Functions. The section is solving rational equations. Could you help me out with this problem? I dont understand how to do it.
Here it is:
5x/x^2-25=2/x-5
thanks

Click here to see answer by solver91311(16877)

Question 133892: Functions and Graphs
Give the domain and range of the revalation.
y=(x+4)^2-7
Click here to see answer by edjones(7569)

Question 134032: Identify the system of equations which has no solution.
a. -x=3y+1
x=3y-1

b. x-2y=-6
2x=4y-12
c. x=2y-1
2x=4y
Click here to see answer by vleith(2825)

Question 134092: Perform the requested operation or operations.
14) f(x) = x + 10, g(x) = 8x - 14
Find (f ∘ g)(x).
Click here to see answer by Madgamer107(9)

Question 134095: Find the indicated composite for the pair of functions.
18) (g ∘ f)(x): f(x) =
x - 3
6
, g(x) = 6x + 3
Click here to see answer by Madgamer107(9)

Question 134091: If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."
12) {(-2, 4), (-1, 4), (0, 1), (1, -5)}
Click here to see answer by oscargut(891)

Question 134105: Please help me solve this rational equation:

x/(x-1)+ x = 4x-3/x-1

Thanks

Click here to see answer by oscargut(891)

Question 134223: Hi, Can you help me with this math problem?
If f is one-to-one find and equation for its universe.
f(x)=x^3-5
Click here to see answer by nycsharkman(136)

Question 133919: Hello the section im working on is on solving rational equations. I dont understand this one im working on.
Here it is
x/x-1 + x = 4x-3/x-1
Thanks for the help
Click here to see answer by algebrapro18(206)

Question 134358: Hi can you help me with this math problem?

Find the indicated composite for the pair of functions.
x-3
(gof)(x):f(x)= 6 , g(x)=6x+3

I DIDNT KNOW HOW TO DRAW THE LINE FOR X-3 OVER SIX THATS WHY IT LOOKS LIKE THAT BUT ITS SUPPOSED TO BE X-3 OVER 6.

THE ANSWER SHOULD BE X
Click here to see answer by jim_thompson5910(28593)

Question 134359: Please help me with this problem. Thank You!
Graph the function.
f(x)= 4x+2, if x<-2
x , if -2(less than or equal to sign) x (less than or equal to sign) 3
3x-1, if x>3
everything after the equals sign are in one bracket ({)
Please help me-I keep getting this wrong on my assignments and tests. Thank You!
Click here to see answer by jim_thompson5910(28593)

Question 134360: Hi can you help me with this math problem?

Find the indicated composite for the pair of functions.

x-3
(gof)(x): f(x)= 6 , g(x)=6x+3
I DIDNT KNOW HOW TO DRAW THE LINE FOR X-3 OVER SIX THATS WHY IT LOOKS LIKE THAT BUT ITS SUPPOSED TO BE X-3 OVER SIX.
THE ANSWER IS SUPPOSED TO BE X
Click here to see answer by jim_thompson5910(28593)

Question 134328: what is the oblique asymptote for x^3-x^2+x-4/x^2+2x-1
Click here to see answer by edjones(7569)

Question 134398: This problem is not from a textbook. Solve the system.
X2+y2=145
X+y=17
The answer choices are
(9,8) (8,9)
(-9,-8) (-8,-9)
(-9,8) (-8,9)
(9,-8) (8,-9)

Click here to see answer by jim_thompson5910(28593)

Question 134472: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on
a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size
would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during
manufacture.
Click here to see answer by stanbon(57307)

Question 134489: I've been presented with this question:
Solve the inequality [1/(x + 1)] > [1/(x – 1)]. State the solution set using interval notation.
I started off by subtracting -[1/(x-1)] from each side to get
[1/(x + 1)] - [1/(x – 1)] > 0
Then I got the common denominator of [1(x-1)/(x + 1)(x-1)] - [1(x+1)/(x+1)(x – 1)]
This results in [0/(x + 1)(x – 1)] which is 0. What am I doing wrong?
Click here to see answer by edjones(7569)

Question 134556: the additve inverse of a number divided by twelve is the same as one less than three times its reciprocal.
Click here to see answer by solver91311(16877)

Question 134556: the additve inverse of a number divided by twelve is the same as one less than three times its reciprocal.
Click here to see answer by ankor@dixie-net.com(15649)

Question 134573: This problem is not from a textbook. Solve the system.
X2+y2=145
X+y=17
The answer choices are
(9,8) (8,9)
(-9,-8) (-8,-9)
(-9,8) (-8,9)
(9,-8) (8,-9)

Click here to see answer by stanbon(57307)

Question 134592: find f(-4) for the function
f(x)=3x-2
Click here to see answer by solver91311(16877)

Question 134745: 1-5/a-1
divided by
3-2/a-1
Please help
Click here to see answer by stanbon(57307)

Question 134755: The instructions say to graph each polynomial function. Factor first if the expression is not in factored form.
f(x)=x^2(x-5)(x+3)(x-1)
I'm not sure what to do with the x^2
Thanks
Click here to see answer by vleith(2825)

Question 134815: How do you find the square root of 63 with five on the outside?
Click here to see answer by stanbon(57307)

Question 134844: Identify all asymptotes and holes in the graph of the following rational function:
f(x) = ((2x^3+6x^2)/(x^2-x-12))
Click here to see answer by vleith(2825)

Question 134809: how do i shrink, stretch,and reflet a rational graph???
Click here to see answer by nycsharkman(136)

Question 134881: Solve the equation by finding all real roots.
x^3-7x+15x-9=0
i have this
1 -7 15 -9 /(divided by) 1.
x^2-6x+9
(x+1) (x^2-6x+9)
it says factor again and where is the soultion
Click here to see answer by stanbon(57307)

Question 134870: Iodine-131 is a radioactive material used to treat a certain types of cancer. Iodine-131 has half-life of 8 days, which means that it tkes 8 days for half of an initial sample to decay. The percent of radioactive material that remains after t days can be detemined from the expression 100(1/2)^t/h, where h is the half-life in days.
a.what percent of a sample of iodine-131 will remain after 20 days?
b.Another form of raioactive iodine used in cancer treatment is iodine-125. Iodine-125 has a half-life of 59 days. A hospital has 20 g of iodine-125 and 20 g of Iodine-131 left over from treating patients. How much more iodine-125 than iodine-131 will remain after a period of 30 days?
Click here to see answer by ankor@dixie-net.com(15649)

Question 134877: Factor:
3x^3+81
Click here to see answer by nycsharkman(136)

Question 135069: This is not a text book question
Given F(x) = 4x^2-1/x^2 -16
a) find x intercepts
b) y intercepts
c) Find the vertical asymptote (write as equation of a line)
d) Find the horizontal asymptote (write as equation of line)
e) For x>4, is there a value which F(x) cannot exceed, and/or value which F(x) cannot fall below? Explain
f) Find maximum or minimum in interval and state whether it is a maximum or minimum value for that interval
g) Describe what happens on graph when x approaches infinity.
I have several questions like this, but need direction on one, to help with the rest. I have the vertical asymptotes as 4 and -4 and the horizontal as 4.

Click here to see answer by solver91311(16877)

Question 135130: the square root of 8 + the square root of 32 - the square root of 50.
Click here to see answer by stanbon(57307)

Question 135130: the square root of 8 + the square root of 32 - the square root of 50.
Click here to see answer by vleith(2825)

Question 135113: Please help!

(5x+4)^1/2-3x=o

Click here to see answer by stanbon(57307)

Question 135159:

(x+5)^2/3=4
i don't have a clue.
Click here to see answer by checkley77(12569)

Question 135271:
Click here to see answer by Fombitz(13828)

Question 135271:
Click here to see answer by solver91311(16877)

Question 135260: Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses.
thanks for all the help!
Click here to see answer by solver91311(16877)

Question 135286:
Click here to see answer by solver91311(16877)

Question 135304: the growing seasons for a random sample of 35 U.S. cities were recorded, yielding a sample mean of 190.7 days and a sample standard deviation of 54.2 days. Estimate the true mean population of the growing season with 95% confidence.
Click here to see answer by stanbon(57307)

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