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

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 639085: simplify. 2x^2 - 18 / 18 - 6x = ?/-3 Click here to see answer by MathLover1(6632)

 Question 639157: Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form. Click here to see answer by Tatiana_Stebko(1326)
 Question 639157: Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form. Click here to see answer by MathLover1(6632)

 Question 639422: please help me solve. The students in my class are wearing 6 more green shirts than yellow shirts. The ratio of green shirts to yellow shirts is 5:3. Find the total number of shirts Click here to see answer by ankor@dixie-net.com(15652)

 Question 639905: For what value of x is the rational expression below undefined? Click here to see answer by Edwin McCravy(8909)

 Question 639970: Find the domain of the expressions: 1. 1/x-2 I know if x=2, then the equation wouldn't work. So is the domain anything but two? How would I write that? 2. square root of x+1 no idea...? Click here to see answer by MathLover1(6632)
 Question 639970: Find the domain of the expressions: 1. 1/x-2 I know if x=2, then the equation wouldn't work. So is the domain anything but two? How would I write that? 2. square root of x+1 no idea...? Click here to see answer by solver91311(16885)

 Question 640821: What is the vertical asymptote of y = (x+4)/(x^2+1) ? Click here to see answer by lynnlo(4164)

 Question 640816: If I was given a graph of y=f(x) and the graph has points: (-4,0), (0,2), (2,-2), (3,0) connected in that order. How would I sketch the graph of y = f(x-1)? What about y=|f(x)|? What about y=f|x|? Click here to see answer by Edwin McCravy(8909)

 Question 639554: What would be the equations of the vertical asymptote(s) and horizontal asymptotes of these functions? 1. y = (x+4)/(x^2+1) 2. y = (x^2-x-6)/(x^3-x^2+x-6) 3. y = 2x^3 / (x^3-1) 4. y = root(x) / (2x^2 - 10) Click here to see answer by lwsshak3(6505)

 Question 643097: Sketch the graph of the rational function r(x)=3x^2+x-4/2x^3-5x. Click here to see answer by stanbon(57347)

 Question 643090: Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6 with a domain where x = all real numbers, and x is ≤ k. F is a one to one function, and I am to determine the greatest possible value of k. When k has that value, I am then to determine the range of f, and then the inverse function f^-1 and state its domain and range. After that I am to graph f(x) and f^-1(x). I believe I know how to find the value of k; it's just asking for the upper limit of the domain of the function given. I think to determine the range you can complete the square and put the equation into standard parabola form and so determine the vertex from that, using the y point of the vertex and the fact that it is either an up/down parabola (I believe this one is up) to find the range. I'm just having trouble finding the inverse function. When I switch the x's and y's from the original equation and try to solve for y I seem to get stuck. I know how to find the domain and range from there and I am fairly certain I can graph the equation. I just need help finding the inverse function. Please help? :) Click here to see answer by solver91311(16885)
 Question 643090: Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6 with a domain where x = all real numbers, and x is ≤ k. F is a one to one function, and I am to determine the greatest possible value of k. When k has that value, I am then to determine the range of f, and then the inverse function f^-1 and state its domain and range. After that I am to graph f(x) and f^-1(x). I believe I know how to find the value of k; it's just asking for the upper limit of the domain of the function given. I think to determine the range you can complete the square and put the equation into standard parabola form and so determine the vertex from that, using the y point of the vertex and the fact that it is either an up/down parabola (I believe this one is up) to find the range. I'm just having trouble finding the inverse function. When I switch the x's and y's from the original equation and try to solve for y I seem to get stuck. I know how to find the domain and range from there and I am fairly certain I can graph the equation. I just need help finding the inverse function. Please help? :) Click here to see answer by Theo(3464)

 Question 643214: factor each completely 3r^2-4r-15 7x^2-79x+90 5x^2-28x+15 5n^2+9n+4 7b^2-32b-60 Click here to see answer by lynnlo(4164)

 Question 643518: Says to solve the equation, graph the solution set, then write in interval notation 2≤4x-10≤6 Keeps saying my answer is wrong but wont tell me which part Click here to see answer by jim_thompson5910(28595)

 Question 643539: Given f(x) = 3 + x^2 Find f(x + h) - f(x) Click here to see answer by solver91311(16885)

 Question 644101: Find all real and imaginary roots of this equation: x^2-2x+6=0 Click here to see answer by lwsshak3(6505)

 Question 644740: Please help me solve these 2 questions: 1. Find the domain and range of the function: f(x) = |x − 6| 2. Find the domain and range of the function: f(x) = 4-x^2 Click here to see answer by lynnlo(4164)

 Question 644892: I need help finding the zeros of: F(x)= 4x^3-24x^2-x+6=0 Click here to see answer by MathLover1(6632)
 Question 644892: I need help finding the zeros of: F(x)= 4x^3-24x^2-x+6=0 Click here to see answer by stanbon(57347)

 Question 644950: Find all real zeros of the function: h(x)= x^5+15x^4+72x^3+80x^2-225x-375 Click here to see answer by lwsshak3(6505)

 Question 645385: find the lcd of rational algebraic expression 1. a , b ____ ____ 15x 5y thanks Click here to see answer by nerdybill(6958)

 Question 646824: -1 x ___ -2 -2 x + y Click here to see answer by stanbon(57347)
 Question 646824: -1 x ___ -2 -2 x + y Click here to see answer by MathLover1(6632)

 Question 647235: The Directions state, Fine the Domain of each ration expression. My teacher wrights her answers like this. The problem is x-3/x+2 {x|x= -2} I am looking for help on this problem x^2-1/x-5 Click here to see answer by aaronwiz(69)

 Question 647239: Directions are: Find the domain of each rational expression. My teach answered this problem like this x-3/x+2 {x|x=-2| my problem is x^2-1/x-5 How do I find the answer? Click here to see answer by MathLover1(6632)