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 155916: Given: f(x)=x^2-4 g(x)=sqrt 2x+4
1)f(x)=o when x=
2)f(g(x))
3)g(f(0))
4)find the inverse of f(x)

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Question 156137: A student opens a mathematics book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
First page is _
Second page is _

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Question 156137: A student opens a mathematics book to two facing pages. The product of the page numbers is 1482. Find the page numbers.
First page is _
Second page is _

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Question 156036: y=x-1 [over] x+4. Find the x and y intercepts along with the asymptotes. Sketch tehe graph. Please help me, I really have no idea what to do with rational functions!!!
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Question 156274: Find f(15) for f (x) = x^2-4/8-x^3
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Question 156245This question is from textbook Algebra II
: I have to graph the function y=5. How would i find the points to graph it?This question is from textbook Algebra II

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Question 156262: Graph f(x)=log3 x+2
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Question 156721: A problem that I have for homework is:
"Write an example of a rational function that has asymptotes at x=4 and y=3"
How do I find a correct example?

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Question 156721: A problem that I have for homework is:
"Write an example of a rational function that has asymptotes at x=4 and y=3"
How do I find a correct example?

Click here to see answer by jim_thompson5910(13794) About Me 

Question 156953: Stan is so good i had to come back for more.
1)Given the function y=2x-3/x-1 what are the
a)x intercept
b)y intercept
c)vertical asymptote(s)
d)horizontal asymptote(s)
e)slant asymptote
2)For the function f(x)=x^2(x-2)
a)find the X intercepts and for each intercept indicate whether the graph of F crosses (c) or merely touches (t)the X axis at each intercept.
b)find the Y intercept
c)Over what interval is f>0?

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Question 156963: simplify
(a^-1 + b^-2)^-1

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Question 157139: I've been stuck on this problem for hours and its the only homework problem I can't solve on my assignment. I've tried everything even family members couldn't help me, so here it goes.
*
The directions said to perform multiplication and simplify.
Thank you tutor for taking your time to helping me.

Click here to see answer by Edwin McCravy(2922) About Me 

Question 157184: What should i do for this problem: Line through (1,-3) parallel to 2x-3y=7
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Question 157184: What should i do for this problem: Line through (1,-3) parallel to 2x-3y=7
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Question 157194: I dont understand what im supposed to do for this problem:
without graphing, determine if the graphs of each pair of equations are parallel, perpendicular or neither.
2y=8x+4 and y=-1/4x

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Question 157204: Graph the line that satisfies each set of conditions...
(passes through origin, parallel to graph of x+y=10

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Question 157193: I dont understand what im supposed to do for this problem:
without graphing, determine if the graphs of each pair of equations are parallel, perpendicular or neither.
2y=8x+4 and y=-1/4x

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Question 157347: Find all the numbers for which the rational expression is undefined:
q^3-8a/q^2-64

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Question 157214: Please graph..............
praph the line that satisfies each set of conditions.
Passed through origin, parallel to graph x+y=10

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Question 157669: Which one of these are functions?

1) x = 4
2) y = 2x + 5
3) y=x

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Question 158065: Simplify (1/x + 1/y)^2
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Question 158007: find the product
(9x-8)^2
a. 81x^2+64
b. 9x^2+64
c. 9x^2-144x+64
d. 81x^2-144x+64

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Question 158089: I have many problems like this one but some are linear,quadratic,cubic,
well the 1st problem is linear. Y=-2x+1 so we have to graph it and identify the domain and range. I've graphed it but I havent figured out how to find the domain and range. I've tried on other problems...x>0 stuff like that but i dont know if its right. Ive tried going over it a hundred times and even tried looking online on how to identify domain and range...but nothing helps... I'm really struggling with this and 39 other problems just like it.

Click here to see answer by vleith(1977) About Me 

Question 158221: I need help simplifying this rational equation: (x-2)(x+5)(over)4(x+3)(x-2) / (x+1)(x+5)(over)10(x+1)
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Question 158218: I need help simplifying this rational expression: x+4(over)2x^2 + 5(over)10x
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Question 158257This question is from textbook college algebra
: In fact, I have to solve problem 26, but some information are found in problem 25.here they go.
25) Suppose ABC car rental charges a fixed amount per day plus an amount per mile for renting a car.Heidi rented a car one day and paid $87 for 200 miles. On another day, she rented a car from the same agency and paid $117.50 for 350 miles.Determine the linear function that the agency could use to determine its daily rental charges.
now, the real problem 26) Suppose that Heidi (of problem 25) also has access to speedy car rental, which charges a daily fee of $15.00 plus $ 0.31 per mile.Should Heidi use ABC Car rental from problem 25 or speedy car rental?
well, I started by find 25)f(x)=0.25x+30 and I tried to use f(x)=0.31x+15,with no results.
This question is from textbook college algebra

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Question 158549: Solve the system by any method.
0.7x+0.8y=-5.3
0.6x-0.9y=1.8

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Question 158643: How do you graph y=-4x+1?
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Question 158797: KATHY IS STACKING ENCYCLOPEDIA VOLUMES ON A LIBRARY BOOKSHELF. EACH VOLUME IS 2.5 INCHES WIDE. THE SELF IS 48 INCHES WIDE.
2.5x < 48
2.5x > 48
48x < 2.5
48x > 2.5

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Question 158800: a boxer must keep his weight(w) between 125 and 140 pounds to stay in the middle division. whayt is the inequality for this
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Question 158815: I was looking for a 4th root chart but I can't find one and when I do type in the 4th root of 48 it gives me a decimal and I can't use a decimal...can you help me please??
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Question 158899: how do you find the slope of the line passing through the given points
ex. (2,1),(6,9)

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Question 159071: please answer this question: the average cost of tuition fees, room and board for 2 year institution increased from $1979 in 1980 to $4895 in 1997.
A) find the linear function that will give average expense of a two year institution E, as a function of time, x, where x is defined to be the number of years since 1980.
B) use the equation to predict the average expense associated with 2010.
i tried to find the linear function but i got stuck i been here for hours and i could figure it out. i got E=17x+1979-4895

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Question 159114: Use factoring to solve the equation:
r^2 + 12r +36 = 14

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Question 159113: Solve the equation for the indicated variable
A = pi r^2 for r

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Question 158880: I have asked for help on these and have not gotten any response.Can anyone help? Give the domain and range of the following. A. (2,5);(9,8) B. y=3x C.y=[2x] D.x=2+3y I am working out of home school books they do not give a good explanation . I have tried books from the library and cant find info on this part of algebra. Please help if you can . I am not asking anyone to do my work for me. I really need help.
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Question 159301: how to solve Binomial, Trinomial, and 4 term polynomial equations
Ex- y^2-5y+4
Ex-3b^2-20b=7
Ex-c^3-125

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Question 159320: find point-slope equation of the line through each pair of points.
1. (7,5) and (3,9)
2. (-4,1) and (6,5)
3. (6,-5) and (-2,-17)
4 (2/3,-6) and (4/3,-5)
question is from my homework.

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Question 159377: Please help me solve this equation: (8/3n)-(15/5n^2)
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Question 159353: x/x^2-1+2/x+1=1+1/2x-2
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Question 159519: How do you factor completely?
f(x)=x^3-7x-6
divided by
x^2+3x+2

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Question 159552: I still am in need of help if someone can. question in home school book reads as this. Inverse each given function; then determine whether the result is a function. 1. A={(2,8);(3,7);(9,8)} a.___ b.___ 2. C={(4,5;(5,4);(-4,5)} a.___ b.___ 3. E={(4,1);(1,3);(-2,5)} a.___ b. ____ 3. G= {(2,0);(0,1);(-3,2)} a____ b ____ Could anyone help explain these. There isn't enough information in these books. Any help would be appreciated.
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Question 159553: A pole 13 meter long leans against a wall. The bottom of the pole is 5 meter from the wall. If the bottom of the pole is pulled away x centimeter so that the top slides down by the same amount, find x. please show the solution. thank you
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Question 159589: Would you be able to do me a big favor and see if these problems are correct?
#1:
5/x+3 = 3/x-1
(x+3)(x-1). 5/x+3 = (x+3)(x-1)
5(x-1) = 3(x+3)
5x-5 = 3x+9
2x-5 = 9
2x/2 = 14/2
x = 7

#2
x/2x^2 - x-1 = 3/x^2 - 1 + 3/2x+1
x/(2x+1)(x-1) = 3/(x+1)(x-1) + 3/2x+1
x/(2x+1)(x-1)(x+1) = 3/(2x+1)(x-1)(x+1) + 3/(2x+1)(x-1)(x+1)
x(x+1) = 3(2x+1) + 3(x+1)(x-1)
x^2 + x = 3x+3 + 3(x^2-x+x-1)
x^2 + x = 3x+3 + 3x^2-3
x^2 + x = 3x^2 + 3x
(x+1)(x-1) = 3x(x+1)
x-1 = 3x
-1 = 2x
x = -1/2
Thanks for you help! Paul


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Question 159662: how do i graph 2,5 parallel to 2x+y=3
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