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 98271: 1)
Determine the average rate of change for the function:
f(x)= x^2 + 10x +16 where -3 is less than or equal to x is less than or equal to 3

2) Find the domain of the given function
http://www.webassign.net/www21/symImages/9/6/91b1c4f55e28b2d77681409dffacec.gif
3) Write the domain of the rational function in interval notation as
http://www.webassign.net/www21/symImages/3/e/35f8505dfa1bc3d278590bcb5943d2.gif
(P.S - If you haven't figured it out yet, I'm the person who has been posting all the questions about functions for the past week. Thank you all so much for your help! I really appreciate it)

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

Question 97989: Find the equation of a circle which passes through the origin and whose center
is at the point (-1,1).

Click here to see answer by ryanman(19) About Me 

Question 98442: WHICH OF THESE ARE IRRATIONAL NUMBERS 17/3,SQUARE ROOT OF 11, -1.82, OR 5.3WITH A LINE OVER THREE?
Click here to see answer by jim_thompson5910(13794) About Me 
Question 98442: WHICH OF THESE ARE IRRATIONAL NUMBERS 17/3,SQUARE ROOT OF 11, -1.82, OR 5.3WITH A LINE OVER THREE?
Click here to see answer by mathslover(126) About Me 

Question 98381: Need to simplify: the square root of (x-3)squared + (y-5)squared = square root of (x-7)squared + (y+1)squared
Click here to see answer by edjones(3298) About Me 

Question 98498: Request help to show me the step by step instructions on how to solve Problem #1 below:
For each function,

Click here to see answer by COCOVALENZUELA(2) About Me 

Question 98556: Write the domain of the ration function in interval notation.
F(x)= 1/x-10
I just dont understand how they want me to express it.

Click here to see answer by stanbon(26291) About Me 

Question 98562This question is from textbook
: p-3q
________
-q-m
m=-8
p=3.2
q=-5.4
This question is from textbook

Click here to see answer by checkley71(8405) About Me 

Question 98884: Could you help me with this problem?
write an equation for each line. Then graph the line.
through (-7,10) and horizontal.

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Question 98963: Determine the solutions for the following polynomial.
32x^6 - 32x^5 = 0

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Question 99072: I'm experiencing great difficulty in trying to help my son graph the following equation:
x=y^2-2y+1.
Thank you very much.

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

Question 99364: Graph the function
f(x)=-2x-5

Click here to see answer by elima(1433) About Me 

Question 93783This question is from textbook
: Observe the following pattern and state a generalization based on the pattern:
1 + 3=2(2)
1 + 3 +5=3(2)
1 + 3 + 5 + 7=4(2)
This question is from textbook

Click here to see answer by timmy1729(23) About Me 

Question 99391This question is from textbook
: Solve the matrix (I-A)X=D for the given matrices A,D,and X.
[0.1 0.1]=A
[0.2 0.1]
[7 ]=D
[14]
[x]=X
[y]
Please enter each number as a decimal
Round each answer to two decimals
x=
y=
please help!
This question is from textbook

Click here to see answer by stanbon(26291) About Me 

Question 99575: (f+g)(x) when f(x)=3 and g(x)=x
Click here to see answer by jim_thompson5910(13794) About Me 

Question 99630: could someone please help me solve thie expression. I cant seem to solve this one.


Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 99637: could someone please help me solve this expression. I am unabl to get the correct answer.

Click here to see answer by checkley71(8405) About Me 

Question 99631: Could someone answer me this can sqrt- be considered rational???
Click here to see answer by elima(1433) About Me 

Question 99723: A tank can be filled by one pipe in 30 minutes & emptied by another in 50ins,if both pipes are open, how long will it take to fill the tank
Click here to see answer by Adam(63) About Me 

Question 99582: determine the domain and range of each relation. y=2x-3
Click here to see answer by scottnascar(12) About Me 

Question 99749: I am not sure what I am doing wrong could someone please help me??? Simplify
sqrt

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

Question 99071: I have tried but to no avail to get this to come out the way it's showing in my study guide. Mine continues to go in the opposite position from theirs.
Could you please graph x=-y^2+2y-1

Click here to see answer by edjones(3298) About Me 

Question 99987: Hello! The directions for this problem are to find the domain and graph the problem. The problem is {abs(x) + abs(y)<_ 1}
It would be read as "The absolute value of x plus the absolute value of y is less than or equal to 1."
Any help with solving this problem would be great. Thank you!

Click here to see answer by stanbon(26291) About Me 

Question 99124: I have tried these several times and still get the wrong answer - HELP!!
g^2+5g+4/5g+5/g^2+8g+16/g^2+g-12
(hope I wrote this correctly - need to solve /simplify
(x+1) divided by x^2+2x+1/x^2+13x+12 - HELP
Thanks alot!!!!

Click here to see answer by edjones(3298) About Me 

Question 100072: Find the domain f(x)=7+sqrt(3x+21) and express it using interval notation
Click here to see answer by Nate(3495) About Me 

Question 100256: Hello,
I am having a hard time finding domains. For example:
f(x) = 1/x-2? This makes no sense to me. Please help.

Click here to see answer by stanbon(26291) About Me 

Question 100440: Could someone please help me with this equation? I cant seem to solve it.
Solve for x

Click here to see answer by Nate(3495) About Me 
Question 100440: Could someone please help me with this equation? I cant seem to solve it.
Solve for x

Click here to see answer by edjones(3298) About Me 

Question 100442: I need some help with this exquation could someone please help me. Solve for x

Click here to see answer by Nate(3495) About Me 

Question 100444: Could I get a little help on this expression??? Solve for x.

I can only get this far then i forget what i am supposed to do.


Now what am i supposed to do?

Click here to see answer by edjones(3298) About Me 

Question 100678: Find each value if f(x)=7x+2 and g(x)=4x-x/2.
1. f(-7) 2. g(8) 3. f(8/14) 4. g(-6n)

Please help me find the answers. I dont understand.

Click here to see answer by stanbon(26291) About Me 
Question 100678: Find each value if f(x)=7x+2 and g(x)=4x-x/2.
1. f(-7) 2. g(8) 3. f(8/14) 4. g(-6n)

Please help me find the answers. I dont understand.

Click here to see answer by edjones(3298) About Me 

Question 100723: graph f(x) (x-5) / (x^2-16)
solve the inequality f(x) > 0

Click here to see answer by edjones(3298) About Me 

Question 100743: need help:
ADD:
3
+
2
____
x2
please write out left to right thats how its suppose to be written

Click here to see answer by edjones(3298) About Me 

Question 100733: write this rational expression in lowest terms:
x2+x-42
________
36-12x+x2

Click here to see answer by elima(1433) About Me 

Question 100684: Find each value of f(x)=(((x^2+2x-4/x+6)))
1. f(4) 2. f(-8)
Please help with this problem. I Don't Understand.

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 100935: Do all table of values for absolute value functions and graphs have to have 0,0 in them? If not tell why. Thank you.
Click here to see answer by scott8148(3382) About Me 

Question 100903: please help me answer this problem
n+9
_____
n^2
times
6n^2
_____
n^2-8

Click here to see answer by edjones(3298) About Me 

Question 101064: I need to graph this equation.
y = 3/4 x +2

Click here to see answer by checkley71(8405) About Me 

Question 101623: solve:
x+1 over x+4 plus x-3 over x+5 equals 2x^2+6x+11 over x^2+9x+20
and
8 over 2m-4 plus 3 over 5m-10 equals 1 over 5

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

Question 101813: The crop yield, Y, (in bushels) for various amounts, x (in pounds per 100 square feet) of fertilizer used in 18 different plots of land is as shown in the table below. The graph of the data can be modeled by Y(x)=-0.017x^2+1.0765x + 3.8939.
Plot / Fertilizer (x) / Yield - Y(x)
1 0 4
2 0 6
3 5 10
4 5 7
5 10 12
6 10 10
7 15 15
8 15 17
9 20 18
10 20 21
11 25 20
12 25 21
13 30 21
14 30 22
15 35 21
16 35 20
17 40 19
18 40 19
based on the data and the quadratic model, what is the optimal amount of fertilizer to apply for maximum crop yield? Explain or show how you decided.

Click here to see answer by stanbon(26291) About Me 

Question 101998This question is from textbook Algebra 2
: Question #3
There were 6 more girls than twice the number of boys. There were 36 boys and girls in all. How many boys and how many girls were there?
This question is from textbook Algebra 2

Click here to see answer by edjones(3298) About Me 

Question 102000: Though this question is not out of our textook, it is based on Chapter 6. We are studying Rationals and Radicals. Somebody Please Help! I feel as though I am beating my head against a brick wall!! Ouch!
Simplify: x^2 + x - 12
--------------
2x^2 - 3x -9
Please help me to solve and understand the proper steps to solving. Thank You!

Click here to see answer by edjones(3298) About Me 

Question 102005This question is from textbook Intermediate Algebra
: I don't even understand how to simplify these type problems! Yikes! Let alone Multiply and Simplify! I can only hope someone out there can help me solve and understand the steps to solve this problem!? Thank You.
Multiply and Simplify:
(Note this problem is not from the textbook we study from).
(x^2 - x - 20) (x^2 + 7x + 10)
--------------* ---------------
(x^2 -3x -10) (x^2 + 4x -5)
This question is from textbook Intermediate Algebra

Click here to see answer by mathemanic(13) About Me 

Question 102007This question is from textbook Intermediate Algebra
: Help!! They're killing me. If only they would explain it in more Laymens terms; but they don't. I have been unable to figure out simplifying these type problems, same with multiplying and simplifying, can some one show me the steps to solving when you divide and simplify, PLEASE?
Divide and Simplify:
3x^2 + 13x + 4
--------------
16 - x^2
Divided by:
3x^2 -5x -12
------------
3x - 12
Thank You eversomuch!!
This question is from textbook Intermediate Algebra

Click here to see answer by mathemanic(13) About Me 

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