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

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 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(6294)

 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 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(60771)

 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(34674)

 Question 180309: I am having difficulty with the rules for solving rational expressions, I am having difficulty multiplying the numerators and the denominators. Click here to see answer by Alan3354(34674)

 Question 180333: 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. Click here to see answer by stanbon(60771)

 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(60771)

 Question 180578: 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? Click here to see answer by jim_thompson5910(29613)

 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(10616)

 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(18785)

 Question 180752: 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? Click here to see answer by stanbon(60771)

 Question 180756: HELP!!! Divide x^2+4x over x+3 then divide by (8x^4+32x^3) Click here to see answer by Earlsdon(6294)

 Question 180779: 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) Click here to see answer by stanbon(60771)

 Question 180741: 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) Click here to see answer by Earlsdon(6294)

 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(18785)

 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(2825)

 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(18785)

 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(60771)