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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 333333: how to calculate the range of f(x)=x/(x^2-4)
Click here to see answer by nyc_function(2733)

Question 333369: Find the slope of the line passing through the points (0, -4) and (-6, 7).
Click here to see answer by solver91311(16872)

Question 333392: I am attempting to solve the problem:
4x/3+6/4+(3x-2)/2
I have attempted to solve it below, but get stuck pretty quick...
4x/3+6/4+(3x-2)/2 -----> from the original problem i think you must use GCF on 6/4 which would change it to 3/2
4x/3+3/2+(3x-2)/2 -----> from here i am not sure wether to factor out the -2/2 or if i need to solve it as a quadriatic.... then from there find the LCD....
If somone could help I would be very greatful
Thank you in advance
Becca
Click here to see answer by unlockmath(1599)

Question 333413: I am at a loss on how accomplish the answer to the problem:
(x^3-x^2-6x)/(6x^2+12x)
I would appreciate any help that i might be able to get...thank you in advance
Becca
Click here to see answer by ankor@dixie-net.com(15639)

Question 333530: Again I find myself confused when it comes to math. I would appreciate any help that i may be able to get. the instructions are solve the equation:
1/(x+4)-1=1/x
If you might be able to show me the steps in completing this type of problem i would appreciate it as i have several to solve in this style.
thanks in advance
Becca
Click here to see answer by mananth(12270)

Question 333537: I am feeling quite stupid when it comes to algebra and I again am having difficulties with another problem. I am asking for help and if at all possible explination on how to figure each step as i am attempting to understand the aspect of the problems.
the problem:
(x-2)/3+1=2x
any help will be much appreciated
thanks
becca
Click here to see answer by Alan3354(30983)

Question 333536: Shawn is taking a science test. So far he answered 12 out of 15 questions correctly. then Shawn's teacher tells the class that there are addidtional questions on the back of the test. Shawn answers all of the questions on the back of the test correctly.
If x represents the number of additional questions on the back of the test, which rational expression models the situation?
a. 12+x/15+x
b. 15+x/12+x
c. 12/15*x
d.12/15
I believe that the proper answer would be A. because he got 12/15 right, but then the additional (x) on the back he also got right, so 12x would stand for the questions he got right, while 15x stands for the total problems...I am wondering if someone could tell me if i am correct in this assumption...
thanks in advance
Becca
Click here to see answer by Alan3354(30983)

Question 333637: Is 3.2748006421 a rational or irrational number?
Click here to see answer by Alan3354(30983)

Question 333684: I am attempting to solve this
(2x-6)/(x-4)*7x/(3x-9)
please help
Click here to see answer by vleith(2825)

Question 333963: Write the quadratic equation in the variable X having the given numbers as solutions,
type the equation in standard form ax^2+bx+c=0
solution 8, only solution
The equaion is___?__=0
Click here to see answer by checkley77(12569)

Question 333998: can you explain how to do this its a linear equation y=-4-x+1
Click here to see answer by stanbon(57250)

Question 334194: for each line, use the given conditions to write an equation in the point slope form and the slope-intercept form.
slope = 4, passing through (1,3)
slope = 8, passing through (4,-1)
slope = -5, passing through (-4,-2)
slope = -2, passing through (0,-3)
Click here to see answer by Alan3354(30983)

Question 334733: Which is the graph of y = 4.2/x?
Click here to see answer by nyc_function(2733)

Question 334904: Topic: Multiplication and Division of Rational Expressions.
Question:
-2a^2/3a^2 * 20a/15a^3
Click here to see answer by Fombitz(13828)

Question 335032: 9y^2-6y^3/2y^2 5y-12
Click here to see answer by solver91311(16872)

Question 333960: Write a quadatic equation having the given numbers as solutions, -8 and -1
The quadratic equeation is___?__ =0
Click here to see answer by Fombitz(13828)

Question 333968: Write a quadratic equation in the variable x having the given numbers as solutions
Type the equation in standard form ax^2+bx+c=0

the equation is __?__=0
Click here to see answer by Fombitz(13828)

Question 335406: if 5x-y+3=0 what is the slope how do u get it and the y-intercept??
Click here to see answer by gillespieshameka(1)

Question 335466: how do i find the slope -intercept form of the equation of the line that passes through(5,-1)(-5,5)
Click here to see answer by stanbon(57250)

Question 335470: how do i find the general form of the equation of the line that passes through (6,-1) with a undefined slope
Click here to see answer by Fombitz(13828)

Question 335424: 15 meters to millimeters
Click here to see answer by Fombitz(13828)

Question 335461: what is the general form of the equation of the line that passes through (0,2)and a slope of 3
Click here to see answer by Fombitz(13828)

Question 335661: what direction would the graph of y = | x + 5 | -1 open ?
Click here to see answer by Fombitz(13828)

Question 335979: The graph of the parabola y = -2(x -1)2 + 3 is symmetric about a line. What is the equation of that line?
Click here to see answer by Alan3354(30983)

Question 336427: x+2 xsquare -5x +6 Dividing by a rational expression
____ divided _________________
7-x xsquare -9x +14
Click here to see answer by jim_thompson5910(28504)

Question 336571: Can you please help me with the following? I need to know how to simplify.
(x-5) / (x^2-4)-3x / [4x(2-x)]
Click here to see answer by mananth(12270)

Question 336566: f(x)= sqrt[4]{15−4x}
Use interval notation to indicate the domain of f(x).
Note: When entering interval notation, use I for infinity, -I for −infinity , and U for the union symbol. If the set is empty, enter "{}" without the quotation marks.
Domain =

Click here to see answer by Fombitz(13828)

Question 336660: My question is in regards to an equation in my homework. x^2 + 18x + 58 = 0
I was to use the discriminant to assess the number of solutions and if they are rational, irrational or imaginary.
I came up with: a= 1, b=18. c= 58 (18)^2 - 4(1)(58))
simplified to 324 - 232 = 92
Since 92 is not a perfect square my answer would be 2 different irrational solutions. Is this correct and if not please explain further. Thank-you
Click here to see answer by Fombitz(13828)

Question 336017: Determine algebraically whether f(x) = |x^3-x|+3cos(x) is even, odd, or neither. And i need to know how you got the answer, thanks.
Click here to see answer by Fombitz(13828)

Question 336751: Please help me with this equation. Its solving equations with rational expressions.
n/10=9-n/5
I tired to cross cancel using 10 but I don't think I'm doing it right.
Thanks!
Click here to see answer by Fombitz(13828)

Question 336717: x squared+y squared-2x+6y+10=0 find equation of circle and sketch circle

Click here to see answer by Fombitz(13828)

Question 337167: Simplify by removing factors of 1.
r^2 - 36 / r^2 - 12r + 36=
Click here to see answer by stanbon(57250)

Question 337182: I am supposed to find the maximum value of this equation and am not having any
luck f(x)= -10/3(x+5)^2 - 5 This is what I have y= -10(x+5)^2/3 - 5*3/3, y=
(-10(x+5)^2)/3 - 15/3, -10x^2-100x-265/3, factor out -5, y= (-5(2x^2 +
20x+53)/3, this is where I end. Please help me understand Thank-you.
I think the answer is -5 as the constant - 5 = k in the equation f(x)=a(x-h)^2+k
Click here to see answer by Fombitz(13828)

Question 337163: Could you please tell me if this is correct...
A delivery company will deliver up to 5 items for $50. There is a charge of $4 for each additional item.
Write a piecewise function to show the cost of having x items delivered.
f(x) = 50 for 0 < x < 5 (should be < or equal to 5)
50 + 4 (x-5) for x > 5
Click here to see answer by Fombitz(13828)

Question 337206: Solve the equation by the square root method:
(2x+3)^2=7
Answer choices:
A.) {-3 - sqrt (7) over 2, -3 + sqrt (7) over 2}
B.) {-5, 2}
C.) sqrt (7) - 3 over 2 , sqrt (7) +3 over 2}
D.) 3 - sqrt (7) over 2, 3 + sqrt (7) over 2}
Click here to see answer by Fombitz(13828)

Question 337207: Solve 4x^4-16^2+15=0
Click here to see answer by Fombitz(13828)

Question 337209: multiply (5sqrt5-15sqrt7)(2sqrt5+6sqrt7)
Click here to see answer by Fombitz(13828)

Question 337349: Divide and simplify. (3z-12)/(14) / (z-4)/(77z)
Click here to see answer by chiexpert(48)

Question 337349: Divide and simplify. (3z-12)/(14) / (z-4)/(77z)
Click here to see answer by stanbon(57250)

Question 337563: y = x-4
Click here to see answer by Fombitz(13828)

Question 337523: you and a friend are going to go on a bike ride for 24 miles. obviously, the faster you ride the less time the trip will take. write an equation for this scenario using the following: d=distance, r=rate, t=time
Click here to see answer by mananth(12270)

Question 337597: I need a graph of a parabola with Vertex: (5/2,-25/4) Axis of symmetry: x=5/2. Any help would be greatly appreciated.
Click here to see answer by Fombitz(13828)

Question 337475: F(x) + G(x)
F(x)= x/x+1
G(x)= x^2 - 1
x/x+1 + x^2 -1
Click here to see answer by Fombitz(13828)

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