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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 62481: f of(x)=x(to the third)-5x(squared)-25x+125, find the zeros. For each zero you find, state whether the graph of f(s)crosses or only touches the x-axis.
Click here to see answer by stanbon(57282)

Question 62544: I had this problem on a test. I found the inverse function, but I got stuck on the checking.
Find the inverse function for f(x)=4x-2/3x. Check your answer.
Click here to see answer by funmath(2925)

Question 62590: what is the dy/dx of the tangent of the function of f(x) = x^3 when x = -1 ?
Click here to see answer by Nate(3500)

Question 62528: perform the indicated operation and reduce:
(2x^2-3x-5)/2x-5
x-1

Click here to see answer by 303795(595)

Question 62480: For f of x, f(x)=3(x-4)squared - 1 find the coordinates of the vertex, the equation of the axis of symmetry, the x-intercepts(if any) and the y-intercept.
Click here to see answer by 303795(595)

Question 62597: Need help simplify this rational expression. Thanks. (a^3-b^3) / (a^2-b^2)
How did the back of the book get their answer? (a^2+ab+b^2) / (a+b)
Click here to see answer by josmiceli(9664)

Question 62144: x/(x+2) + 2/(x-2) = (-2x+19)/(x^2-4), solve for x (coukd be more than 1 answer)
Click here to see answer by 303795(595)

Question 62197: Solve the rational equation: x/(x+2) - 3/(x-2) = (2x+12)/(x^2-4)
Click here to see answer by uma(370)

Question 62903: I have graphed this but it just does not look right to me, can you help?
graph the inequalities: y>x^2+x-6 y
Click here to see answer by stanbon(57282)

Question 62904: solve the equation (m+8)^1/3=-2
Is it: {-16} {-16,0} {-16,16} or {0} thanks for your help
Click here to see answer by stanbon(57282)

Question 62896: need help
Reduce (64y^3+27z^3)/(4y+3y) to lowest terms
choices are 16y^2+12yz-9z^2
4y+3z
16y^2-12yz+9z^2
already in lowest terms
Click here to see answer by Edwin McCravy(8893)

Question 62899: need help..The altitude in feet of a projectile t seconds after launch is given by the function s(t)=-16t^2+32t+3. How long after launch will it take for the projectile to reach its maximum height? What is the maximum height?
thanks for your help
Click here to see answer by stanbon(57282)

Question 62901: help please!
Solve the equation for x and y. x+2y=-5 x=2y-1

choices are: (5,3) (5,0) (-3,-1) (1,-3)
Click here to see answer by checkley71(8403)

Question 62898: Write the slope-intercept form of the equation of the line through (-1,2) that is perpendicular to the line x+3y=4 hope you can help, thanks
Click here to see answer by checkley71(8403)

Question 62902: Which of the following statements are true?
The point (-2,-3) is in quadrant II of the Cartesian plane.
The equation 2x-3y=5 is a linear equation.
The distance between the points (-5,1) and (-7,9) is 2^17
^a^2 +b^2=a+b
This has me all confused, thanks for the help
Click here to see answer by praseenakos@yahoo.com(507)

Question 62921: FIND THE VERTICAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)=8x-12 OVER 4x-2.
Click here to see answer by stanbon(57282)

Question 62921: FIND THE VERTICAL ASYMPTOTE OF THE RATIONAL FUNCTION f(x)=8x-12 OVER 4x-2.
Click here to see answer by funmath(2925)

Question 62895: need help don't get this one..
Find the third term in the expression of (3t+4)^8 choices are:
1) 48t^6
2) 11644t^6
3) 326,592t^6
4) 448t^6
Click here to see answer by funmath(2925)

Question 62929: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y-and x-axis respectively. Round to the tenth's place.
Click here to see answer by checkley71(8403)

Question 62937: another problem; help please thanks
Find the difference: (1-9i)-(5-i^2-8i)
Click here to see answer by praseenakos@yahoo.com(507)

Question 62936: help please
the diagonal of a square measures 6 inches. what is the length of the sides?
the diagonal of a square measures 6 inches. what is the length of the sides?
thanks for your help
Click here to see answer by praseenakos@yahoo.com(507)

Question 62934: stumped by this one too.
Write the first four terms in the binomial expansion of (m-n)^11, expressing the result in simplified form
Click here to see answer by praseenakos@yahoo.com(507)

Question 62933: need help!
Use the BINOMIAL THEOREM to expand the binomial (2x+y)^6 and express the result in simplified form.
Click here to see answer by venugopalramana(3286)

Question 60740: solving rational equations: solve and check. 4 sep problems
a/2a-6 - 3/a^2-6a+9 = a-2/3a-9

5/y+3 = 1/4y^2-36 + 2/y-3

4/x+3 + 7/x^2-3x+9 = 108/x^3+27

x-1/3 + 6x+1/15 + 2(x-2)/13-7x = 2(x+2)/5
well done

Click here to see answer by chelsea123(1)

Question 62969: For the function, y = 1/x-1
a) give the y values for x= -2, -1, 0, 1, 2, 3
Show your work
b) Using these points, draw a curve
Click here to see answer by Edwin McCravy(8893)

Question 63086: Graph the functions y=x and y=sqrt(x) on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Click here to see answer by uma(370)

Question 63099: how to solve and grah this equation y=x3 - 1
Click here to see answer by funmath(2925)

Question 63215: can't seem to get this
Let f(x)=|x| and g(x)=x+2. Write the function F(x)-|x+2| as a comosition of the functions f and g
Click here to see answer by stanbon(57282)

Question 63218: can't seem to get this one
Letg(x)=x^2-x and h(x)=x+2/3. find the compostition function (goh)(x) thanks

Click here to see answer by stanbon(57282)

Question 63219: keep getting stuck on this one
Use synthetic division to divide (x^3+8x^2+21x+20) / (x+4).
thanks for your help
Click here to see answer by stanbon(57282)

Question 63206: need help on this one
Find the third tirm in the expression of (3t+4)^8
Click here to see answer by stanbon(57282)

Question 63223: How do you find an equation for a grph that goes through the x-axis 4 (or more) times? There are no specific points except for (a,0) (b,0) (c,0) and (d,0). I'm very confused. I would greatly appreciate it if you could contact me tonight or before 6:00 AM tomorrow (NOvember 29) morning.
Katie
Click here to see answer by stanbon(57282)

Question 63213: need help
Solve the system of equations for x and y using any method
x+2y=-5 x =2y-1
thanks
Click here to see answer by Cintchr(481)

Question 63212: help on this one please!
write the slope-intercept form of the equatin of the line through (-1,2) that is perpendicular to the line x+3y=4 thank you for your help!
Click here to see answer by Cintchr(481)

Question 63227: Hi, Stan just answered a question for me but I need more explanation. Here was my e-mail and his response. "How do you find an equation for a grph that goes through the x-axis 4 (or more) times? There are no specific points except for (a,0) (b,0) (c,0) and (d,0).
------------------------------------------
a,b,c, and d are called "zeroes" of the polynomial
The polynomial has factors (x-a),(x-b),(x-c), and (x-d)
f(x)=k(x-a)(x-b)(x-c)(x-d)
Note: k is some non-zero constant"
I was wondering how you get the factors, what are zeroes, and how did he come up with "k". Thank You!!

Click here to see answer by stanbon(57282)

Question 63214: can't seem to get this one
Simplify. Assume variables represent positive numbers. y^3/5 divided by y^2
is it.. 1/y^13/5 1/y^7/5 y^7/5 or y^13/5
Click here to see answer by 303795(595)

Question 63210: not sure which graph it is..the graph of y^2/25 - x^2/64 =1 is it a parabola or hyperbola? thanks
Click here to see answer by 303795(595)

Question 63276: I have gotten lost on this one please help.
For the equation x-sqrtx=0 , perform the following:
a) Solve for all values of x that satisfies the equation.

Click here to see answer by uma(370)

Question 63277: Could someone please help me with this.
A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 3 feet and 4 feet.
Click here to see answer by stanbon(57282)

Question 63216: Let f(x)=7x an g(x)= 2x^2-9. find the following:
(fog)(x) (gof)(x) (fog)(2) and (gof)(-1)
not sure what i am doing,,,thanks for your help
Click here to see answer by jai_kos(139)

Question 63338: need help
find the constant of variation for the following: c varies inversely as the square of t and c=4 when t=5
Click here to see answer by stanbon(57282)

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