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

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Question 179333: Can you please help me solve this rational equation? 3/x^2-16+5/x-4=5/x+4
This problem is not from a text book ,it is from a worksheet.
I have tried to solve it and this is my work so far, I'm stuck.
3/x^2(x-4)(x+4)/x^2-16+5(x-4)(x+4)/x-4=5(x-4)(x+4)
3+5(x+4)=5(x-4)
3+5x+20=5x-20
0=-43
so does that mean there is no solution???? or have I done something wrong?
Click here to see answer by Fombitz(2113)

Question 179421: I got 2 for this problem. Is it correct, if not can someone please assist.
10x-5x-3x=4
Click here to see answer by nerdybill(2448)

Question 179422: Ok, I got -8 for this problem. I'm not certain if its right.
5x+3+5x+9=9x+4
Click here to see answer by Alan3354(6097)

Question 179661: What does the graph of f(x)=(3x^2)+1 look like?
Click here to see answer by Mathtut(3670)

Question 179673: I really need help with this equation with rational exponents. This problem is not from a text book, it is from a worksheet.
(x-5)raised to the two-third power +3(x-5)raised to the one-third power-4=0 ( I couldn't figure out how to write this problem using the formula plotting system.)
I have no idea how to work this problem. Please help!!!
Click here to see answer by Earlsdon(4900)

Question 179753: Write the expression in lowest terms
3-y/y-3
Click here to see answer by Mathtut(3670)

Question 179883: Graph the rational function. Then state the domain and the range. y=3x+5/2x-11
Click here to see answer by Mathtut(3670)

Question 180106: please Simplify each expression..
1. (16x^8)^-0.75
2. (-64a^9)^4/3

Click here to see answer by stanbon(26297)

Question 180103: Let ƒ(x) = 3x2 – 2x and g(x) = x – 6. Find each value.
THANKS FOR YOUR HELP.. I APPRICATE IT.:)

1. (f-g)(2)

2. (f/g)

3. (gof)(3)

4. (fog)(0)
Click here to see answer by stanbon(26297)

Question 180109: Solve each equation. Check for extraneous solutions.

1. [7x+2]-2=7x
2.(-2-x)^0.5-x=2

Click here to see answer by Alan3354(6097)

Question 180107: Solve each equation.
please note that [] means square root

1.(4x-3_^2/3-8

2. [6x-1]-2=0
Click here to see answer by Alan3354(6097)

Question 180309This question is from textbook Elementary & Intermediate Alegebra
: I am having difficulty with the rules for solving rational expressions, I am having difficulty multiplying the numerators and the denominators.This question is from textbook Elementary & Intermediate Alegebra

Click here to see answer by Alan3354(6097)

Question 180333This question is from textbook Algebra & Trigonometry
: Determine Algebraically weather the function is even, odd, or neither.
h(x)= x / (x^2-1) or x over x squared minus one
My understanding>> I know you can fill in h(-x) at which point if the answer comes out to be h(-x) then it is odd, or h(x)then it is even. If the answer is neither then it is (well) neither.
Where I get confused is >> When I fill in negative x to the denominator I then have a negative numerator and a negative denominator which in turn becomes positive (right?). Then, when my fraction becomes positive- do I change the (-1) to a (+1) [second position of the denominator]?
Afterwards, should I cross multiply (assuming the value of h(-x) can be placed over one.. OR should I multiply both sides by my denominator and work from there?
Please help.This question is from textbook Algebra & Trigonometry

Click here to see answer by stanbon(26297)

Question 180092: 6x-3
5x2
2x-1
10x

Click here to see answer by Alan3354(6097)

Question 180374: Graph the function y = |x+1|
Click here to see answer by Mathtut(3670)

Question 180374: Graph the function y = |x+1|
Click here to see answer by Electrified_Levi(103)

Question 180351:
Click here to see answer by Mathtut(3670)

Question 180543: Graph:
x<2y
x+y<0
Click here to see answer by Mathtut(3670)

Question 180553: Find in the blank to complete the expression:
x^2 x^5
_______ _______
x^-8 x^-8
Click here to see answer by stanbon(26297)

Question 180578This question is from textbook Sullivan Algebra and Trigonoetry
: f(x)=-3x^2 + 5x

If f(x)=-2, what is x? What point(s) are on the graph of f?

My understanding>>>
-2=-3x^2+5x
0=-3x^2+5x+2
Factor it (I believe this is where I am messing up)
0= (??_ ??)(??_??)
Set both to zero
0= (??_??) 0=(??_??)
Solve for each.
Am I using the right process to solve for x?
How do I factor this properly? (my signs are not comming out right when I foil my answer to check it)
How would I determine my domain after I have determined the value of x?This question is from textbook Sullivan Algebra and Trigonoetry

Click here to see answer by jim_thompson5910(13794)

Question 180609: 1. Find the inverse of the function y = 4x – 7. Is the inverse a function?

[] means square root.. thanks for your help
2. Find the inverse of y= [x+9].Is the inverse a function?

Click here to see answer by Mathtut(3670)

Question 180607: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a length of 5 cm??

If ƒ(x) = 5x + 8, find (ƒ-1 ° ƒ)(59) and (ƒ ° ƒ-1)(3,001).
Click here to see answer by Mathtut(3670)

Question 180611: A circular table is to be made that will have a top covered with material that costs $3.50 per square foot. The covering is to cost no more than $60. What is the maximum radius for the top of the table?
Click here to see answer by josmiceli(3013)

Question 180615: Solve each equation. Check for extraneous solutions.
[] means square root.. thanks for your help

7+[2x-1]=10

4(x-9)^1/3=8
Click here to see answer by solver91311(5072)

Question 180752This question is from textbook Saxon Algebra 2
: Find an equation for the inverse of
y=3/4x+7
This is what I got so far:
x=3/4y+7
x-7=3/4y
...and then what?
This question is from textbook Saxon Algebra 2

Click here to see answer by stanbon(26297)

Question 180756This question is from textbook Saxon Algebra 2
: HELP!!!
Divide x^2+4x over x+3 then divide by (8x^4+32x^3)
This question is from textbook Saxon Algebra 2

Click here to see answer by Earlsdon(4900)

Question 180779This question is from textbook Sullivan Algebra and Trigonometry
: f(x)= 2x^2/ x^4+1
In regards to 27c, d, e, and f.
c>> if f(x)=-1, what is x? what points are on the graph of f?
My understanding...
-1=2x^2/x^4+1
My confusion is really how to solve for x (due to the fraction with exponents)

d>> what is the domain of f? The answer is all real numbers. Why?
e>> List the X Intercept.
f>> List the Y Intercept.
My understanding...
both intercepts are zero. My graph comes out to be a short line symmertrical to the y axis where both x and y are intercepting at the orgin (0,0)This question is from textbook Sullivan Algebra and Trigonometry

Click here to see answer by stanbon(26297)

Question 180741This question is from textbook Saxon Algebra 2
: A 20-centimeter straw is placed so that it fits exactly at a 60 degree angle to the base in a glass. How tall is the glass to the nearest centimeter? (The hypotenuse is 20cm)
This question is from textbook Saxon Algebra 2

Click here to see answer by Earlsdon(4900)

Question 181242: simplify and state the exclusions.

4x-12
6x
Click here to see answer by Mathtut(3670)

Question 181286: 2. Find the inverse of y=[x+9]. Is the inverse a function?

[] means that its square root..thanks for helping..
Click here to see answer by Mathtut(3670)

Question 181285: Find the inverse of the function y = 4x – 7. Is the inverse a function?
Click here to see answer by Mathtut(3670)

Question 181284: A right triangle has a leg of length x and a hypotenuse of length 2x. Write an equation to find the length s of the other leg, and use it to estimate s when the hypotenuse has a length of 5 cm..

Click here to see answer by Mathtut(3670)

Question 181310: Rationalize the denominator of each expression. [] means square root.. thanks you.

[7x / [3]

3[x^2] /2[4]
Click here to see answer by solver91311(5072)

Question 181311: Multiply. Simplify if possible. thanks..[] means sqaure root..

3[4] Times 2[2000]

Click here to see answer by Mathtut(3670)

Question 181309: Divide and simplify. [] means square root. thanks for helping. please also show your work so i would understand, thank you!
3[270x]
________
2[10xy^2

Click here to see answer by vleith(1977)

Question 181376: Solve each equation. Check for extraneous solutions.

[]means square root..
[2x-1]=x-8

(4x+3)^2/3=(16x+44)^1/3
Click here to see answer by solver91311(5072)

Question 181445: How do I simplify the following expressions?
1. x^2-2x-15/x^2-4x-5
2. 4x^2y^3/x^5y^6 * xy/20x^3
3. x^2-7x-8/3x^2-24x * 4x^3/x^2-1
4. (x+5) * x^2-36/x^2+11x+30

Please help, thanks.
Click here to see answer by stanbon(26297)

Question 181452: what is 3t-6/2-t
Click here to see answer by vleith(1977)

Question 181464: Simplify and solve
5(5^e+1)^e-1
Click here to see answer by stanbon(26297)

Question 181463: If someone has a little time to help me I'd appreiate it a lot. I have a big test coming up and I really need help with this work...
15X^2 + 19X - 6
I have to find all possible zeros, use sythetic division to find rational zeros (or find rational zeros and then use synth. division. I am never gonna be absent to math again no matter how sick I am...)
The I have to write it in standard form.
Please! If someone could please help me... Thank you!
Click here to see answer by stanbon(26297)

Question 181488: Divide and simplify.

http://i732.photobucket.com/albums/ww330/school_hard/IMG_48261.jpg
Click here to see answer by Mathtut(3670)

Question 181484: Rationalize the denominator of each expression.
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48191-1.jpg
Click here to see answer by Mathtut(3670)

Question 181489: Multiply. Simplify if possible.

http://i732.photobucket.com/albums/ww330/school_hard/IMG_48271.jpg
Click here to see answer by Mathtut(3670)

Question 181487: Rationalize the denominator of each expression.

http://i732.photobucket.com/albums/ww330/school_hard/IMG_48241-1.jpg

http://i732.photobucket.com/albums/ww330/school_hard/IMG_48251-1.jpg
Click here to see answer by Mathtut(3670)

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