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

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Question 56066: If f(x) = 5x - 7, what is f^-1(x)?
Click here to see answer by jenrobrody(19)

Question 56071: Given the relation R={(1,2),(-3,4),(0,-4),(1,0)}
1. Is R a function? Why or why not?
Click here to see answer by Lacey020991(49)

Question 56072: Given f(x)=3x+4
1. Is f(x) a function? Why or why not?
2. Is f -1(x) a function? Why or why not?
Click here to see answer by stanbon(26296)

Question 56067: Given: f(x)=3x-5 and g(x)=-5x+2
1. Find f[g(-1)]
2. Find g[f(4)]
Click here to see answer by tutorcecilia(2042)

Question 56073: Given the relation R={(1,2),(-3,4),(0,-4),(1,0)}
Make a chart of the Relation.
Click here to see answer by tutorcecilia(2042)

Question 56080: Given f(x)=3x+4
Find f -1(x)
Click here to see answer by rapaljer(3622)

Question 56070: Given the relation R={(1,2),(-3,4),(0,-4),(1,0)}
Which point lies on the y-axis?
Which point lies in Quadrant II?
Click here to see answer by funmath(2873)

Question 56068: Given f(x)=3x+4
Find f -1(x)
Click here to see answer by funmath(2873)

Question 56209This question is from textbook College Algebra

: I need your help solving this rational function.
1/y+5 - 3/y-5 = 12/y^2-25
I have found the LCD of (y+5)(y-5) and multiplied both sides by the LCD. The answer I got was y=1/2. I am not sure what I am doing wrong. This question is from textbook College Algebra

Click here to see answer by stanbon(26296)

Question 56352This question is from textbook College Algebra

: Please help me solve this problem. I can not seem to find in my material or remember how to find the range of a given function.
-4x^2-16x-19 what is the range of this function?This question is from textbook College Algebra

Click here to see answer by Cintchr(475)

Question 56862This question is from textbook
: verify that (2x+1)/x-1 is the inverse of x+1/x-2 . I only got to x= y+1/y-2 and got stuck on how to simplify. This question is from textbook

Click here to see answer by Scriptor(36)

Question 56917: I am at a loss as to how to solve this. I keep getting 3x as the answer but it is wrong.
3x(x1/2(<--exponent)+1)2 <---squared
Click here to see answer by funmath(2873)

Question 57047This question is from textbook
: Please help me sole this: FIND THE DOMAIN OF THIS FUNCTION: h(x)=10/(x^2-2x). This question is from textbook

Click here to see answer by funmath(2873)

Question 57120: I am stumped by this one. Use transformations to help graph f(x)=3^(1-x)-4. Also identify domain, range and horizontal asymptote and whether the graph is increasing or decreasing. I know the graph will move 4 to the right. The part that is throwing me off is the exponent. I know -x is a reflection about the x-axis. Please help.
Click here to see answer by stanbon(26296)

Question 57124This question is from textbook College Algebra: Graphs and Models
: Ok, I'm not sure if this problem is in this section but I didn't see a "parabolas" title anywhere. I know the answer to this problem, but I have know idea how to get it. It's finding the y-coordinate of the vertex of this parabola function:
g(x)= 2x^2+6x+8
I know how to find the x-coordinate, and when I checked it, I was right, but my answer for the y-coordinate is 7/4 and the book says its supposed to be 7/2. Please help me, I have a test on this tomorrow and I really need to know what I'm leaving out of this problem so I don't do it on the test!!!This question is from textbook College Algebra: Graphs and Models

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

Question 57150: Given f(x)=3x+4
2. Find f -1(x).

Click here to see answer by rcmcc(152)

Question 57272This question is from textbook

: We are asked to graph the following quadradic equation -f(x)=X^2-3x+1.
AS I graph it the parabola opens up, 3 spaces up and is moved over 1 space to the right. However according to the book it opens down and over 1 and up the y-axis 3 spaces. If X^2 is positive I thought it opened up?!?! where am I going wrong or what do I not understand?? Any help will be appreciated on this.
Thanks in advance.This question is from textbook

Click here to see answer by stanbon(26296)

Question 57300: How do I work this problem?
Give the equation of the horizontal asymptote of the following rational function:
f(x)= x^2+x-6/x-4
Thank you.
Click here to see answer by venugopalramana(3286)

Question 57382This question is from textbook algebra&trig

: F(2/3)= -4
F(1/2)=3
F(x)
F(2)

(4,-24) 18+24/3-4=42
(3,-4)
This question is from textbook algebra&trig

Click here to see answer by stanbon(26296)

Question 57395: (d^2-7d)/(14-2d)
Click here to see answer by Cintchr(475)

Question 57151: Given the relation R={(1,2),(-3,4),(0,-4),(1,0)}
Make a chart of the Relation.
Click here to see answer by funmath(2873)

Question 57394: (xy-y/x-2)-(y/x+2)
Click here to see answer by faceoff57(65)

Question 57510This question is from textbook

: A cab charges a fixed price of $2.40 to $.08 a mile. What is function? How much does it cost to go 44 miles? How far can you go for $6.40(show all work)This question is from textbook

Click here to see answer by rcmcc(152)

Question 57515: Give the domain:
a) 3/(x^2-4
b) (the square root of)x^2+6
c) (the square root of) 2x-1
d) 3/(x+1)
e) 3/(x^2-9)
f) x+7
Click here to see answer by stanbon(26296)

Question 57513This question is from textbook

: f(x)= 3x-2
D=(-3,-1,0,2,3)
R=( )This question is from textbook

Click here to see answer by mszlmb(115)

Question 57644This question is from textbook Applied College Algebra
: Find the vertical and horizontal asymptotes of F(x) = 6 / x^2 - 3x - 4 and sketch a graph of F.This question is from textbook Applied College Algebra

Click here to see answer by funmath(2873)

Question 57569: Graph
4x - 3y = 6 by the slope intercept method.
Thanks
Click here to see answer by phillv(13)

Question 57649: If a contractor charges 30 for 2hours work and charges 94 for 4 hours of work what would he charge for 8 hours of work?
Click here to see answer by tutorcecilia(2042)

Question 57566: Graph
3x - 2y = 6 by graphing the x and y intercepts.
Thanks

Click here to see answer by tutorcecilia(2042)

Question 57564: Graph
y= x - 3 by graphing 3 points.
Thanks
Click here to see answer by tutorcecilia(2042)

Question 57706This question is from textbook Integrated Mathematics
: ???????? i have no idea how to do any of this!! -2=x-4/2x This question is from textbook Integrated Mathematics

Click here to see answer by faceoff57(65)

Question 57873This question is from textbook College Algebra
: 11. is the function f(x)=x^5+4x-7 even, odd, or neither?
12. determine the intervals over which f(x)=(x^2-4)^2 is increasing, decreasing, or constant.This question is from textbook College Algebra

Click here to see answer by funmath(2873)

Question 57877: what is the slope of a perpendicular line to the line
y=(2/3)x+2?
Click here to see answer by hayek(51)

Question 57914: what is f(2x+1) if f(x)=x+4x ?
Click here to see answer by stanbon(26296)

Question 57917: x-2y=0
y=2x-3
Click here to see answer by stanbon(26296)

Question 57897: Graph
4x - 3y = 6 by the slope intercept method.
Click here to see answer by tutorcecilia(2042)

Question 57939: Graph
y=4/3x-2
Click here to see answer by checkley71(8405)

Question 58042This question is from textbook
: find (a)f o g (b)g o f .find the domain of each function and each composite funcition.
Given: f(x)= x^2 +1 g(x)=square root of x

i can find f(g) and g(f) but i cant find the domainsThis question is from textbook

Click here to see answer by venugopalramana(3286)

Question 58148: I've gotten this problem wrong twice so I'm obviously doing something wrong.
find f(x/2) when f(x)=x^3-4x^2
my solution: (x/2)^3-4(x/2)^2= (x^3/2^3)-4(x^2/2^2)= x^3/8 - 4x^3/4
x^3/8 - (4x^3/4)(2)= x^3/8 - 8x^3/8= -7x^3/8
sooo...it looks right to me, but it's not. Any example would be great! Thanks!
Click here to see answer by hayek(51)

Question 58192: Write equation for the line that passes throught (-2,3) and is parallel to the line whose equation is 3x+2y=6
Click here to see answer by stanbon(26296)

Question 58123: 3(x + 6) - 2 = 4(x + 2) - 21
solve for x

Click here to see answer by rcmcc(152)

Question 58160: one of my problems for a domain and range section was pretty difficult...I'm not sure what part of the problem I got wrong because it wasn't specified.
find the domain algebraically and the range graphically.

square root of(x^2-2x-8)
> is greater than or equal to since I don't know how to type the sign
here's what I did: x^2-2x-8 > 0
(x-4)(x+2) > 0
x>4 x>-2 and the x can't be negative due to the square root.
Domain: (-infinity, -2] U [4, infinity)
Range: (-infinity, -2] U [4, infinity)
Do I have the domain and range correct?
Click here to see answer by hayek(51)

Question 58242: If A=3x2-2x-7 and B=x2+9, then what is their sum, A+B?
5x2-2x+2
4x2-2x-2
4x2+2
4x2-2x+2
none of these

Click here to see answer by checkley71(8405)

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