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

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Question 133510: 3) Study the method of linear interpolation presented in chapter 5. Given p(x) = 2x^3 – 3x^2 – 6x + 4, show that there is an irrational root in the interval (0,1) and use linear interpolation to find the root accurate to two decimal places.
Click here to see answer by jim_thompson5910(13810)

Question 133517: Analyze and graph the following rational function. F(x) = x^4 -16 / x^2 -1.

This function closely approaches a certain curve. Find the equation of this curve by performing long division.

You must determine other asymptotes, zeroes, symmetry, and use all of this information to graph the function.
Click here to see answer by jim_thompson5910(13810)

Question 133280:

f(x)=x^3-5x^2-14x

f(x)=x^3+4x^2+9x+36

f(x)=x^4+x^3-2x^2+4x-24

please helpp!
Click here to see answer by checkley71(8405)

Question 133535: graph: f(x)=x^3-x^2-4x+4
Click here to see answer by checkley71(8405)

Question 133529: Graphing the equation y=x-7 and 2x+5y=10
Click here to see answer by checkley71(8405)

Question 133534This question is from textbook College Algebra
: Divide:

x^3+4x^2-5x+44
____________
x+6
This question is from textbook College Algebra

Click here to see answer by jim_thompson5910(13810)

Question 133538This question is from textbook College algebra
: 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.This question is from textbook College algebra

Click here to see answer by vleith(1983)

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(4900)

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(5106)

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(3330)

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(1983)

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(682)

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(682)

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(13810)

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(13810)

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(13810)

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(3330)

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(13810)

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(26367)

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(3330)

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(5106)

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(6707)

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(26367)

Question 134592: find f(-4) for the function
f(x)=3x-2
Click here to see answer by solver91311(5106)

Question 134745: 1-5/a-1
divided by
3-2/a-1
Please help
Click here to see answer by stanbon(26367)

Question 134755This question is from textbook College Algebra

: 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
ThanksThis question is from textbook College Algebra

Click here to see answer by vleith(1983)

Question 134755This question is from textbook College Algebra

Click here to see answer by stanbon(26367)

Question 134815: How do you find the square root of 63 with five on the outside?
Click here to see answer by stanbon(26367)

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(1983)

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

Question 134881This question is from textbook
: 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 soultionThis question is from textbook

Click here to see answer by stanbon(26367)

Question 134870This question is from textbook
: 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?This question is from textbook

Click here to see answer by ankor@dixie-net.com(6707)

Question 134877This question is from textbook
: Factor:
3x^3+81This question is from textbook

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(5106)

Question 135130: the square root of 8 + the square root of 32 - the square root of 50.
Click here to see answer by stanbon(26367)

Question 135130: the square root of 8 + the square root of 32 - the square root of 50.
Click here to see answer by vleith(1983)

Question 135113: Please help!

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

Click here to see answer by stanbon(26367)

Question 135159:

(x+5)^2/3=4
i don't have a clue.
Click here to see answer by checkley77(7172)

Question 135271:
Click here to see answer by Fombitz(2134)

Question 135271:
Click here to see answer by solver91311(5106)

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