# 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 46945: This is the last question that i have so please someone helppp!!! Find the compositions of the function if: f(x)=x^3+1 , g(x)=x^2-2 , and h(x)=x+3 1.)h(p)= 2.)f(h(x))= 3.)g(g(x))= 4.)h(g(x))= 5.)g(t+h)-g(t) /h= .....(for this one g(t+h)-g(t) iss all divided by h.) please help!!! thank you!!! Click here to see answer by stanbon(57361)

 Question 47011: use the given root to find the solution set of the polynomial equation x4-45x2-196=0 : 2i Click here to see answer by venugopalramana(3286)

 Question 47041: Find the vertical asymptote of the rational function f(x)=3x-12/4x-2. Click here to see answer by Nate(3500)

 Question 47449: Solve by completing the square. Other methods will receive no credit. x2 + 6x + 2 = 0 Click here to see answer by Earlsdon(6287)

 Question 47452: Subtract. Express your results in simplest form. 7cd/9 - cd/9 Click here to see answer by longjonsilver(2297)

 Question 47743: 1. Need help in Determine the point A(x,y), b(0,3) c(1,0), d(7,2) don't understand the "vertices of a Parrallogram" Click here to see answer by Earlsdon(6287)

 Question 47761: What is the domain of ((6x^2)-13x-5)? When I graphed it I got a domain of (-infinity, +infinity). Click here to see answer by stanbon(57361)

 Question 47813: Given f(x)=3x+1 and g(x)=1/2, what is the domain of f,g & fog Click here to see answer by venugopalramana(3286)

 Question 47974: Multiply, then simplify the product. Assume that all variables represent positive numbers. Click here to see answer by tutorcecilia(2152)

 Question 48006: Add or subtract as indicated. Write your answer in the form a + bi. (8+7i)-(2+3i)+(2+6i) Click here to see answer by stanbon(57361)

 Question 47973: Rationalize the denominator. Assume that all variables represent positive numbers. Click here to see answer by Nate(3500)

 Question 48063: if f(x)=x*(x+1)*(x-4), use interval notation to give all values of x where f(x)>0. so we solve for 0=x*(x+1)*(x-4), in this case x= -1, and +4 or am i missing something. thank you. Click here to see answer by stanbon(57361)

 Question 48070: Rationalize the denominator. Assume that all variables represent positive numbers. Click here to see answer by stanbon(57361)

 Question 48062: for the two functions f and g are given x: 4 f(x) 6 g(x) 6 x: 5 f(x) 7 g(x) 5 x: 6 f(x) 4 g(x) 7 x: 7 f(x) 5 g(x) 4 find (f o g)(7) is it 6, because when x is 7 g(x)=4 and then the value of f(x) when x=4 is 6. Click here to see answer by stanbon(57361)

 Question 48378: I hope this is the right category for the problem I need help with. It states to find the value for the function and the question is: Find f(2) when F(x) = *x2-5 over x+3 * x2 in this case represents x squared (Can't find the symbol used in the above example). From other homework, my solution is to place the equation as: x2-5 = x+3 (2) and solve from there, only multiplying the dominator by the function of x. I come up with x2-2x-11=0 is the quadratic formula necessary to figure x. Please provide help! This question is not from a textbook, but I did put in the barcode of textbook used. Click here to see answer by Nate(3500)
 Question 48378: I hope this is the right category for the problem I need help with. It states to find the value for the function and the question is: Find f(2) when F(x) = *x2-5 over x+3 * x2 in this case represents x squared (Can't find the symbol used in the above example). From other homework, my solution is to place the equation as: x2-5 = x+3 (2) and solve from there, only multiplying the dominator by the function of x. I come up with x2-2x-11=0 is the quadratic formula necessary to figure x. Please provide help! This question is not from a textbook, but I did put in the barcode of textbook used. Click here to see answer by Earlsdon(6287)

 Question 48379: Having already submitted one question, there is another along the same line I find equally confusing: Given the function f(x)= -7x^2 -14x +9, is the point (-2, -5) on the graph of f? Does the y=mx+b formula apply here, I just don't know, any help will be greatly appreciated Click here to see answer by Earlsdon(6287)

 Question 48417: 75x=9 Click here to see answer by Nate(3500)

 Question 48515: investment of \$10,000 in 1997 in the Spartan Investment Grade Bond Fund grew to \$14,309.61 in 2002 (www.fidelity.com). The average annual return r for an investment is given by the formula r=(s/p)^1/n -1 , where P is the initial investment and S is the amount it is worth after n years. Find the 5-year average annual return of this investment. Click here to see answer by stanbon(57361)

 Question 48514: Radius of a sphere. The radius of a sphere is given by the formula 075v/pi)^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pi/3cubic meters. Click here to see answer by cowess(34)

 Question 48525: Area of a triangle find the exact area of a triangle with the base of square root 30 meters and a height of square root 6 meters. Click here to see answer by Nate(3500)

 Question 48464: if the point (-3,8) is on the graph of f(x), find the point on the graph of each of the following 1. y=-3f(x-2) 2. y= f(3x)-3 3. y= 1/4f(1/3x) 4. y= -2f(x+4)+3 Click here to see answer by stanbon(57361)

 Question 48698: (x+4)^2 = 25 Thanks Alot Click here to see answer by venugopalramana(3286)

 Question 48707: Please im asking someone to please give me a helping hand with the following questions. I would really really appreciate some help. 1)Identify the horizontal asymptotes for the fuction of f(x)= x-5/x+1 2)Which type of variation is represented by a1/b1= a2/b2 a. inverse b. direct c. joint d. none 3)Which type of variation is represented by a1 b1= b2 a2 a. inverse b. direct c. joint d. none 4)Suppose y varies directly as x. If y = 5 when x = 15, find x when y = 9. a. 3 b. 6 c. 12 d. 27 5)Suppose y varies inversely as x. If y = 2 when x = 14, find y when x = 7. a. 1 b. 4 c. 6 d. 8 6)Suppose y varies jointly as x and z. If y = 10 when x = 2 and z = 4, find y when x = 4 and z = 3. a. 6 b. 12 c. 15 d. 20 7)Simplify x^2-5x-24/6x +2x^2 * 5x^2/8-x 8)simplify x^2-3x/x^2-25 * x^2+4x-5/x^2-4x+3 Click here to see answer by stanbon(57361)

 Question 48708: Please can someone assist me. i would be so greatful. 1)simplify x+2/x+3 / x^2+x-12/x^2-9 2)simplify x^2-y^2/2x /x-y/6x 3)simplify x^2 + 7x/3x/49-x^2/3x-21 4)simplify 6/x^2+4x+4 + 5/x+2 5)simplify 2-5x/x-9+ 4x-5/9-x 6)simplify 7x/x^2-y^2-1/x-y 7)simplify x+12/4x-16 - x+4/2x-8 Click here to see answer by stanbon(57361)

 Question 48696: a+4/2 = a+4/a Click here to see answer by tutorcecilia(2152)

 Question 48747: Can someone please help me out with the following. 1)Two bottles have capacities in the ratio 4 to 7. The smaller bottle holds 6 ounces more than half of the larger bottle. How many ounces will the smaller bottle hold? a. 12 b. 24 c. 36 d. 48 2)Solve x + 12/x-8 =0 (solutions) 3)solve 5/x + 2 = 10/3x(solutions) 4)7/x + 2= 6/x-5 (solutions) 5)solve x-4/x-2 = x-2/x +2 + 1/x-2 (solutions) Click here to see answer by stanbon(57361)

 Question 48764: can someone please assist me. 1)what are the solutions to 5/x + 2=10/3x 2)what are the solutions to 7/x + 2 = 6/x-5 3)what are the solutions to Click here to see answer by venugopalramana(3286)

 Question 48810: Hi, I need help solving this problem, I tried it, but I didn't get far. The dairy is capable of producing a maximum of 600 gallons of ice cream each day. Ingredients for regular brand ice cream cost \$0.60 per gallon, and premium brand costs \$1.50 per gallon. The company can spend no more than \$675 per day on the ingredients. Regular brand requires 4- person hours to produce 100 gallons of ice cream, whereas premium brand requires 4- person hours to produce 100 gallons. The dairy is able to run 26 person hours per day of production. Here's what I got: (p= premium, r= regular, P=profit) Max number of gallons that can be produced each day: Cost of ingredients per gallon produced each day: Number of person hours to produce ice cream each day: The question I'm having trouble with is: How many gallons of each brand of ice cream should the diary produce to maximize it's daily profit, taking into account all of the production requirements identified. Provide supporting work that clearly describes your solution. I believe the equation would be: (Is this right?) But then again, how can I include the hours, or are they not necessary? I need help finding the amount of gallons of each brand that will make the greatest profit. Thanks much for your time. Click here to see answer by venugopalramana(3286)

 Question 48824: Hi, I need help solving this problem, I tried it, but I didn't get far. The dairy is capable of producing a maximum of 600 gallons of ice cream each day. Ingredients for regular brand ice cream cost \$0.60 per gallon, and premium brand costs \$1.50 per gallon. The company can spend no more than \$675 per day on the ingredients. Regular brand requires 4- person hours to produce 100 gallons of ice cream, whereas premium brand requires 5- person hours to produce 100 gallons. The dairy is able to run 26 person hours per day of production. Bo predicts that the dairy will make a profit of \$2.88 per gallon on the regular brand and \$3.24 per gallon on the premium. Here's what I got: (p= premium, r= regular, P=profit) Function that will determine daily profit for the dairy comparny: Cost of ingredients per gallon produced each day: Number of person hours to produce ice cream each day: The question I'm having trouble with is: How many gallons of each brand of ice cream should the diary produce to maximize it's daily profit, taking into account all of the production requirements identified. Provide supporting work that clearly describes your solution. I believe the equation would be: --Is this correct, or are the hours have to be interpreted also? I need help finding the amount of gallons of each brand that will make the greatest profit. I created a graph and graphed the inequalities to find the feasible region and I know the amount of gallons of each should be in the feasible region, but how can I find the number of gallons for each??? Thanks much for your time. Click here to see answer by venugopalramana(3286)

 Question 48855: Write ratios in simplest form the ratio 5&3/5 to 2& 1/10 The ratio of 7 dimes to 3 quarters. Thank you very much, Vicki Click here to see answer by stanbon(57361)

 Question 48915: 13p+5p Click here to see answer by 052300111(1)

 Question 48947: -6x^2-5x+1=0 compute the value of the deiscriminant and give the number of real solutions of the quadratic equation. Click here to see answer by venugopalramana(3286)

 Question 48945: graph the parabola y=2x^2+8x+13 Click here to see answer by venugopalramana(3286)

 Question 48944: graph the parabola y=(x-5)^2 +4 Click here to see answer by venugopalramana(3286)

 Question 48943: graph the parabola: what is a parabola? y=5/4 x^2 Click here to see answer by venugopalramana(3286)

 Question 48938: 2x^2+7x-2=0 skolve for x using quadratic formula if there is more than one solution separate with commas Click here to see answer by tutorcecilia(2152)

 Question 48937: t^2-10t+a find the value of a such that is a perfect square? Click here to see answer by checkley71(8403)

 Question 49179: graph the function f(x)=x^3-4 Click here to see answer by Nate(3500)

 Question 49182: use the factor theorem to determine whether (x-3) is a factor of f(x)=x^4+12x^3+6x+27 Click here to see answer by Nate(3500)

 Question 49183: solve the equation x^3+2x^2+x+2=0, if -2 is a root. Click here to see answer by Nate(3500)

 Question 49184: according to descartes rule of signs,(a) how many positive roots does this equation have ? (b)how many negative roots? f(x)=3x^3+9x^2+8x Click here to see answer by Nate(3500)

 Question 49416: Find the inverse of the function {(3,8)(5,7)(6,4)}. Click here to see answer by Nate(3500)

 Question 49604: Multiply rational expression -2a^2/3a^2 * 20a/15a^3 I cannot see any way to reduce this equation. Click here to see answer by Earlsdon(6287)

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