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

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Question 162319: composite function(FoG)(x)= F(x)=x^2-2x+1 G(x)= sqrt x-2
I know you plug in f to g but where and how do you do it with multiplying by sqrt
I am thinking it's something like X^2-2x(sqrt x-2)+1 am i right and how does that work out??? thanks
Click here to see answer by Fombitz(2113)

Question 162292: 1815a^9b^7/1089a^6b^2
Click here to see answer by checkley77(7049)

Question 162579: edy is about ti take a test that contains short-answer question worth 4 points each and word problems worth 7 points each. edy must do at least 5 short-answer questions, but time rrestricts doing more than 10. she must do at least 3 word problems, but time restricts doing more than 10. edy can do no more than 18 questions in total. how many of each type of question must edy do in order to maximize her score? what is this maximum score?
Click here to see answer by ankor@dixie-net.com(6693)

Question 162657: how do i find the range of this function 3-2^2 if the domains are 0,1,2,3.
Click here to see answer by vleith(1977)

Question 162833: Please help me solve the following:
For the graph of the function f(x)=2x^2-12x+20
Find the vertex; state whether this is a maximum or minimum value and find the value; and find the range.
I have no idea where to begin to solve this. Any assistance you can provide is greatly appreciated!

Click here to see answer by nerdybill(2446)

Question 162931This question is from textbook

: pg. 582
what are the steps to do this problem?
x+2/2 - 3/4 = xThis question is from textbook

Click here to see answer by elima(1433)

Question 162931This question is from textbook

: pg. 582
what are the steps to do this problem?
x+2/2 - 3/4 = xThis question is from textbook

Click here to see answer by checkley77(7049)

Question 163517: how would you graph
thanks for the help!! it is greatly appriciated!~
Click here to see answer by checkley77(7049)

Question 163644: how would you graph
thanks!!
Click here to see answer by Fombitz(2113)

Question 163666: suppose f(x)=-4x+3 and g(x)=square root of x.
what is the domain of the compsite function g(f(x))
please show your work!
thank you so much for helping me out!
Click here to see answer by vleith(1977)

Question 163691This question is from textbook college algebra
: f(x)= 4-5x, x 0, -2 x squared+1, x>2
(a) f(-3) (b) f(4) (c) f(-1)This question is from textbook college algebra

Click here to see answer by midwood_trail(310)

Question 163741This question is from textbook Biginning Algebra
: Please help, and show work I really want to learn how to do this correctly. Thank You. I need to factor this out

p^2 + 4p -5 / p-1
p^2 + 7p + 10 / p+4This question is from textbook Biginning Algebra

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

Question 163839: supposed f(x)=-4x+3 and g(x)=1/x+2. evaluated f(g(x)) and g(f(x)) for x. Note any restrictions. show your work.
THANK YOU!
Click here to see answer by midwood_trail(310)

Question 163921: I would like to know how to graph the greatest integer function [2x-3]=y.
please help

Click here to see answer by stanbon(26272)

Question 162909: Simplify:
When I factor out the neumerator and denominator, then simplify, I dont get the correct answer.
x^2-y^-Z^2-2yz/x^2-y^2+z^2-2xz

Click here to see answer by orca(409)

Question 163840: supposed f(x)=-4x+3 and g(x)=1/x+2. evaluated f(g(x)) and g(f(x)) for x. Note any restrictions. show your work.
THANK YOU!
Click here to see answer by alicealc(98)

Question 163945This question is from textbook intermediate algebra
: how to find the domain for rational functionThis question is from textbook intermediate algebra

Click here to see answer by midwood_trail(310)

Question 164010: Solve for F: C=5/9(F-32)
please explain process thanks
Click here to see answer by orca(409)

Question 164010: Solve for F: C=5/9(F-32)
please explain process thanks
Click here to see answer by jojo14344(1483)

Question 164211: p^2+2p^2+4p
we are supposed to factor it out
not sure how to
please explain
thank you
Click here to see answer by faceoff57(65)

Question 164255This question is from textbook Elementary and Intermediate
: 12.) Complete complex fraction. I really need help on this one!
2/x+1/x-2
1/x-2- 3/x
This question is from textbook Elementary and Intermediate

Click here to see answer by jim_thompson5910(13787)

Question 164244: If y=f(x) contains the point (-4,5), what point must lie on the graph of y=f^-1 (x)?
Click here to see answer by jim_thompson5910(13787)

Question 164267This question is from textbook Algebra for college Students
: I've been working on this problem for 2 hours, and I would like some help.
I need to "multiply and divide"
(-3mn)^2*64(m^2n)^3 over (16m^2n^4(mn^2)^3 divided by 24(m^2n^2)^4 over (3m^2n^3)^2
the answer is 27/2mn^7 but I can't figure out how to get there. This question is from textbook Algebra for college Students

Click here to see answer by ptaylor(1578)

Question 164342: Given f(x)=-2x+3, determine f^-1(x)
Click here to see answer by Earlsdon(4900)

Question 164364: Given f(x)=2x+3 and g(x)=3x-4, determine (FoG)^-1(x)
Click here to see answer by stanbon(26272)

Question 164403: If f(x)=-x^2+3x+5 and g(x)=-|3-x|, determine f(g(5)).
Click here to see answer by Fombitz(2113)

Question 164401: Given f(x)= √(x-4), determine f^-1(x)
Click here to see answer by Fombitz(2113)

Question 164370: Given f(x)=-sqrt(x)+2, determine the domain of f^-1 (x)
Click here to see answer by Fombitz(2113)

Question 164430: If f(x)=2x+3 and g(x)=-x^2-2x+3, determine GoF.
Click here to see answer by jim_thompson5910(13787)

Question 164402: If f(x)=2x+3 and g(x)=x^2-2x+3, determine (GoF).
Click here to see answer by jim_thompson5910(13787)

Question 164466This question is from textbook

: I don't know how to do this problem with the (x raised to the negative one power) help!!This question is from textbook

Click here to see answer by checkley77(7049)

Question 164466This question is from textbook

: I don't know how to do this problem with the (x raised to the negative one power) help!!This question is from textbook

Click here to see answer by jojo14344(1483)

Question 164457: factoring polynomials:
3x^3+9x^2-54x
show steps please!
thank you!
Click here to see answer by Fombitz(2113)

Question 164362: Given f(x)= √(x-4), determine f^-1(x).
Click here to see answer by Fombitz(2113)

Question 164694: What is the Domain fo the Rational functions?
f(x)=3x +1 / x+6
I am not sure how to answer this. Do you do the division or is it as simple as all real number except zero will work?
Click here to see answer by Fombitz(2113)

Question 164998: Hi, Can someone please help me?
.
Can someone please explain how to find the 3 different kinds of asymptotes in a rational equation? ( Horizontal asymptotes, Vertical asymptotes, Oblique asymptotes )
.
Can you do sort of give a little lesson on this subject? ( Such things like, "How to find Horizontal, Vertical, Oblique asymptotes", " When can you have an Oblique asymptote", " How/When can you get "potholes"( points on a line that can't be in an equation ) ", and similar questions )
.
Can you could give some rational equations ( several different kinds, ones that are fractions, improper fractions, ones that contain "potholes", and so forth ), along with how to find the asymptotes, or "potholes"
.
Thank you so much ahead of time, Levi
Click here to see answer by stanbon(26272)

Question 165034: Hi, Can someone please help me?
.
Can someone please explain HOW to find the 3 different kinds of asymptotes in a rational equation? ( Horizontal asymptotes, Vertical asymptotes, Oblique asymptotes )
.
Can you do sort of give a little lesson on this subject? ( Such things like, "How to find Horizontal, Vertical, Oblique asymptotes", " When can you have an Oblique asymptote", " How/When can you get "potholes"( points on a line that can't be in an equation ) ", and similar questions )
.
Can you could give some rational equations ( several different kinds, ones that are fractions, improper fractions, ones that contain "potholes", and so forth ), along with how to find the asymptotes, or "potholes"
.
Please don't just give me the answers to the equations you give. I need to know how to get the asymptotes from an equation, please explain how you get your answers
.
Thank you so much ahead of time, Levi

Click here to see answer by MRperkins(83)

Question 165007: Find all numbers for which the rational expression is undefined
fraction
s^3-7s/s^2-25
The number for which the rational expression is undefined are _.
Click here to see answer by edjones(3295)

Question 165048: Hi, Can someone please help me?
.
Can someone please explain HOW to find the 3 different kinds of asymptotes in a rational equation? ( Horizontal asymptotes, Vertical asymptotes, Oblique asymptotes )
.
Can you do sort of give a little lesson on this subject? ( Such things like, "How to find Horizontal, Vertical, Oblique asymptotes", " When can you have an Oblique asymptote", " How/When can you get "potholes"( points on a line that can't be in an equation ) ", and similar questions )
.
Can you could give some rational equations ( several different kinds, ones that are fractions, improper fractions, ones that contain "potholes", and so forth ), along with how to find the asymptotes, or "potholes"
.
Please don't just give me the answers to the equations you give. I need to know how to get the asymptotes from an equation, please explain how you get your answers
.
Thank you so much ahead of time, Levi

Click here to see answer by midwood_trail(310)

Question 165279: Sketch the graph for each of the following polynomial functions.
a. P(x)= (x+1)(x-2)(x+3)
Click here to see answer by Earlsdon(4900)

Question 165298: P(x)/(x-2)=2x^2+x-2+-5/(x-2). Find P(x). Please help me out, I have no idea what to do!!!
Click here to see answer by nerdybill(2446)

Question 165299This question is from textbook georgia high school mathematics 1
: factor the expression
x3+3x2+3x+1This question is from textbook georgia high school mathematics 1

Click here to see answer by user_dude2008(715)

Question 165326: Rational and Radical Expressions
1. Simplify the rational expression:
x2 – 6x – 7
x2 – 1

2. Divide:
x2 – 3x + 2 ÷ x2 – 4
8x – 8 5x + 10

3. Simplify:
√[100x2y16z8]

4. Perform the indicated operations:
2√[72] + √[32] – 4√[18]

5. Multiply:
(√[3] + 4√[5])(2√[3] – √[5])

6. Rationalize the denominator:
3____
√[6] – √[3]

Click here to see answer by gladley(1)

Question 165310: Given P(x)= show that(x+2)is a factor forP(x). How do you know?
Click here to see answer by Earlsdon(4900)

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