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

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Tutors Answer Your Questions about Rational-functions (FREE)


Question 3360: How to graph ?



Click here to see answer by ichudov(404) About Me 

Question 3413: find asymptotes for the following rational functions
h(x)= 2/x-3 and K(x) = 4x-1/5x+2

Click here to see answer by longjonsilver(2297) About Me 

Question 4122: Estimate the intervals on which the function g(x)=x^3-x^2+2x-8 is increasing and decreasing
Click here to see answer by ivankst(3) About Me 

Question 6507: I am having a hard time answering the following problem. Any assistance would be much appreciated.
Problem: The function f(t) = 9.7*e^(0.003*t)) models the population of a certain city f(t), measured in millions, t years after 1990. If the population growth rate continues into the future, when will the population reach 14 million?

Click here to see answer by Mike(39) About Me 

Question 6589: I am having trouble figuring out if the following equation has point discontinuity, vertical asymptote, or both.
(I couldn't figure out how to edit it to show this to you, but it is not 24/x, rather it is x^2 - 10x + 24 ALL over x + 9.)
Thanks

Click here to see answer by ichudov(404) About Me 

Question 6627: What is the possible number of imaginary zeros of ?
Click here to see answer by khwang(438) About Me 

Question 6625: How would the graph of look?
Click here to see answer by khwang(438) About Me 

Question 6758: help me find the domain of how and why?

Click here to see answer by ichudov(404) About Me 

Question 7187: What are some examples of a non-function to graph on a TI-83 Plus?
Click here to see answer by longjonsilver(2297) About Me 

Question 7326: Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
x
6
18
54
162
y
24
72
216
648
Options are: a. Yes k=4; y=4x b. yes, k = 3; y=3x c. yes, k=6; y= 6x d no
Ok, please tell me how to solve this problem and plus can u explain to me wht is direct variation? coz i believe this question's got sth to do with it.............thanks a lot!

Click here to see answer by longjonsilver(2297) About Me 

Question 7613: (3z^2 + 7z + 9) + (6z^2 + 3z -3) - ( -5z^2 -8z)
Click here to see answer by bonster(299) About Me 

Question 7756: Identify all the rational zeros for f(x)=x3(cubed)+4x2(squared)-3x-18
Click here to see answer by Earlsdon(4900) About Me 

Question 8135: How do I find the range and domain of y=4x+7?
Click here to see answer by longjonsilver(2297) About Me 

Question 8544: How do you find the domain of f(x)=(square root)x+3?
I do not fully understand which way the domain goes. When I graph the equation I come out witha graph which starts at (0,3)and continues on to the right for infinity. The answers that I to choose from are [3,0) and(3,0). I guess my real question is, how do I know which to choose from, the bracket or the parenthese?

Click here to see answer by rapaljer(3622) About Me 

Question 9443: Whitney'S Appliances is having a sale on 13 TV sets. They are displayed in order of increasing price from left to right. The price of each set differs by $20 from either set next to it. For the price of the set at the extreme right, a customer can buy both the second and seventh sets. What is the price of the least expensive set?
Click here to see answer by rapaljer(3622) About Me 

Question 9760: Can you also show me how to find the equation of the line parallel to
3x-4y=10
And it has to pass through (6,0)
Thank you for your help.

Click here to see answer by askmemath(368) About Me 

Question 9971: what is 4m-9=5m+7??
Click here to see answer by longjonsilver(2297) About Me 

Question 10312: let f(x)= 3xsquared - 1 and g(x) = 2x + 5
find f(g(-1)) and g(f(-1))

Click here to see answer by Earlsdon(4900) About Me 

Question 9438: The task is to determine a relationship between the height that the tennis ball is dropped to the height that it bounces.
The variables include:
Independent variable (what you choose to change).
________________________________________________
How are you going to measure this.
________________________________________________
Dependent variable (what is affected by your chosen change).
____________________________________________________________
How are you going to measure this.
__________________________________

Number of trials that needs to be performed. (And explaining why that many trials)
Please explain exactly what you are going to do. By using a step-by-step set up.
If you would.
As well as creating a data table that will allow you to display the information that you have collected in an easy to understand format.
In the end,please, summarize the data that was collected and the sources of the errors that were found. Thank-you for being a dedicated tutor.

Click here to see answer by prince_abubu(198) About Me 

Question 10578: Hi Tutors:
I am studying "Functions and Graphs." Can you please show me step by step how to find the domain? PROBLEM: f(x)=7/5-x (5-x is the denominator). Thanks in advance.

Click here to see answer by rapaljer(3622) About Me 

Question 10583: how do u figure out g of f when f(x)= x+1 and g(x)= 2x. i got f of g but i cant figure out g of f bcuz i checked in the back on the book with all the answers and it wont add up...thank you.
Click here to see answer by rapaljer(3622) About Me 

Question 10825: graph on a number line all the integers numbers x, such that -4
Click here to see answer by longjonsilver(2297) About Me 

Question 10884: i need help solving this equation: r(R1+R2)=R1R2,for R
Click here to see answer by rapaljer(3622) About Me 

Question 11826: hi im having trouble on this problem. "graph the line perpendicular to the graph of 3x-2y=24 that intersects it at its x-intercepts." what i did was get the equation into the yintercept form i think its called like that. y=-12+3/2x. the x-intercept is 3/2 right? and i plot the -12 on the graph right? now i dont know what to do. thank you
Click here to see answer by longjonsilver(2297) About Me 

Question 11824: the questions asks "determine whether the diagonals of parallelogram ABCD are perpendicular. explain your answer." the parallelogram's points are A=(5,0) B=(9,0) C=(10,-4) D=(6,-4) i do not know what to do. i have not dont parallelograms before i have just dont lines. thanks for all your help
Click here to see answer by longjonsilver(2297) About Me 

Question 12121: Please help me solve this on Functional notation:
For the function f(y)=-3y-2, find f(-5)

Click here to see answer by longjonsilver(2297) About Me 

Question 12146: Can you please help me solve this: The volume of a cube is a funtion of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5cm long.
Click here to see answer by rapaljer(3622) About Me 

Question 12341: Please I need a step by step strategy for adding and substracting rational expressions that have different denominators. In addition, please provide an example problem. Please I need to understand this for a test tonight.
Click here to see answer by askmemath(368) About Me 

Question 12365: 2(3x+1)+15=-7
Click here to see answer by bonster(299) About Me 

Question 12594: if f(x)=x^2-7x+3 and g(x)= x+1/x-3, find the domain of g o f. thanks
Click here to see answer by longjonsilver(2297) About Me 

Question 12548: write an equation for each line. then graph the line.
Through (-1,3) and parallel to y=2x+1

Click here to see answer by AdolphousC(70) About Me 

Question 12619: =5
Click here to see answer by magagula sunshine(1) About Me 
Question 12619: =5
Click here to see answer by elicheca(1) About Me 

Question 13109: 10 2/3 devided by 32/3 =
Click here to see answer by akmb1215(68) About Me 

Question 13096: Simplyfy the complex fraction :
Can you please explain the step by step method:

3- 2/n-4
_________
5+ 4/n-4

Click here to see answer by rahman(247) About Me 

Question 9978: can you please solve this equation:12x-24=-14x+28
Click here to see answer by rahman(247) About Me 

Question 13925: Can you tell me which answer is correct for this problem - find the following for the function F(x)=-x^2+3x-1 ; -f(-x)
A.x^2+3x+1(do you have to do the whole equation with a "-x" plugged in for "x" and then multiply your whole answer by -1(derived from the -F))
B.-x^2+3x-1(can't you just cancle the negatives in the "-f(-x)" to be "f(x)"
Thank you for all of your time and help.

Click here to see answer by Earlsdon(4900) About Me 

Question 13915: I am having a hard time finding the slope of 6x+7y+5=0. x intercept is -5/6 and y intercept is -5/7. So the straight line of the slope is?
Click here to see answer by longjonsilver(2297) About Me 

Question 14046: What is -5/4 + 1/4 ? How did you get the answer?
Click here to see answer by LilSkittleMd(119) About Me 

Question 14045: What is -5/4 + 1/4 ? How did you get the answer?
Click here to see answer by LilSkittleMd(119) About Me 

Question 14542: Write an equation in slope-intercept form of a line that passes through the points, (2, -2) and is perpindicular to the graph of x+5y=6
Click here to see answer by Alwayscheerful(414) About Me 

Question 15182: Where do I start? I am so lost... here is the problem...
Given f(x)=6x^2 + 5x - 4 find [f(x+h)-f(x)] / h


Click here to see answer by wgunther(43) About Me 

Question 15307: find the domain and range of the function
f(x)= xsquared-x

Click here to see answer by wgunther(43) About Me 

Question 15400: Hello
what would the formula look like for: y as a funtion of x and what would the graph look like
Thank you for your help

Click here to see answer by rapaljer(3622) About Me 

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