# 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 188982: Find [g*h](x) and [h*g](x) 12. g(x)=-2x H(x)= x^2+3x+2 So this is what I've done so far but I need help solving for the other. (G*h)=-2(x^2+3x+2) -2x^2-6x-4 (H*g) Click here to see answer by solver91311(16885)

 Question 188981: What is the remainder when P(x)=3x^3-x^2+4x-9 is divided by x-1? Working with the Remainder Theorm, couldn't find proper place to file; hope this is close enough! Click here to see answer by Mathtut(3670)

 Question 188989: Find (f+g)(x), (f-g)(x), (f*g)(x)and (f/g)(x) for each f(x) and g(x) 2.f(x)=8x^2 G(x)=1/x^2 Click here to see answer by jim_thompson5910(28595)

 Question 189110: I have a problem where I have to write an equation in function notation using this slope -5/8 (3,2) I know I need to use the y-y=m(x-x) and I get F(x)=-5/8x +17/8, but teh book has -5/8x+31/8. Where is teh 31 coming from? Click here to see answer by josmiceli(9676)

 Question 188930: Find (f+g)(x), (f-g)(x), (f*g)(x) snd (f/g)(x) for each f(x) and g(x) 3. f(x)= x^2+7x+12 g(x)= x^2-9 Click here to see answer by jim_thompson5910(28595)

 Question 189136: This one is bogging me down. I need help. Driving marathon. Felix drove 800 miles in x hours on Monday. a) write a rational expression for his average speed. b)On Tuesday, he drove for six hours at the same average speed. Write a rational expression for his distance on Tuesday. Click here to see answer by stanbon(57342)

 Question 189137: Please help! Barn painting. Jasmine can paint a certain barn by herself in x days. Her helper Mindy can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5 Click here to see answer by stanbon(57342)

 Question 189163: If 3(x-6)=24,what is the value of (x-6)to the 2nd power? Click here to see answer by checkley75(3666)

 Question 189166: I need to describe 2 places where rational expressions are used in the work place and describe in detail how they are used. I'm totally confused on these. Any help would be appreciated Click here to see answer by feliz1965(151)

 Question 189254: Perform the indicated operation. Simplify the result. multiplied by **Work I Tried do** multipled by Thank You... Click here to see answer by ankor@dixie-net.com(15650)

 Question 189272: I need help! Directions: Perform the indicated operations to simplify each expression. If possible, final answers should be factored completely. Problem: 3x+6 * 2x^2-18 ____ _______ 4x+4 x^2-x-6 Click here to see answer by nerdybill(6958)

 Question 189427: Create a rational function whose graph will have a horizontal asymptote at y=-3 Click here to see answer by stanbon(57342)

 Question 189444: Need some help with this problem. 159.5-0.1x^2=159.5(112)-0.1(112)(112)= I multiply 159.9(112) and got 17,864 now I need to substitute x for 112 could you please explain substitute. The second problem. The mass of Pluto is about 1.31x10^19 metric tons. The mass of the sun is about 1.998x10^27 metric tons. About how many times the mass of Pluto is the mass of the sun? Give your answer in scientific notation. The mass of the sun is about __ times the mass of Pluto. Round to the nearest thousandth as needed. Use scientific notation. Use the multiplication symbol in the math palette as needed. Could you explain scientific notation and math palette. Thank you! Click here to see answer by Alan3354(30993)

 Question 189428: Write a rational expression that simplifies to 2/x-1 Click here to see answer by methew(2)

 Question 189430: Write two rational expressions whose sum is x+6/x-2 Click here to see answer by user_dude2008(1861)

 Question 189429: Write two rational expressionss whose product is x-4/2x Click here to see answer by user_dude2008(1861)

 Question 189426: Create a rational function whose graph will have at least three verticle asymptotes and one hole. Click here to see answer by user_dude2008(1861)

 Question 189603: A jet flew from New york to los angeles, a distance of 4200km. the speed for the return trip was 100km/hr faster than the outbound speed. if the total trip took 13 hours, what was the speed from new york to los angeles. Click here to see answer by nerdybill(6958)

 Question 189655: Divide: assume all expressions are undefined 5x^6 over x^2 times y multiplied by 10x^2 over y Click here to see answer by Mathtut(3670)

 Question 189652: Simplify : identify x values that make expression undefined. 5. 3x^2-9x-12 over ____________ 6x^2+9x+3 Click here to see answer by Mathtut(3670)

 Question 189706: I have a homework question on an oblique asymptote. The question is: f(x)=x^2+5x-4 over x+2. I got the V.A. x=-2 and the O.A. y= x+3. I got my y=1x+3. My question is the graphing part. I do not know which direction to graph and plot the points. Can you please help me? Click here to see answer by Edwin McCravy(8909)

 Question 189714: If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information. Click here to see answer by user_dude2008(1861)

 Question 189724: For what positive number(s) is the sum of the number and its reciprocal the smallest? Click here to see answer by stanbon(57342)

 Question 189742: Identify any excluded values. Then simplify the expression. 9x^2-3x over 27(3x-1)^2 Click here to see answer by ankor@dixie-net.com(15650)

 Question 189865: Please help... A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty in 150 minutes and the second pipe alone can empty in 225 minutes. Then both pipes are draining together, how long does it take them to empty the pool? _______minutes. Click here to see answer by ptaylor(2048)
 Question 189865: Please help... A swimming pool holds 540,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty in 150 minutes and the second pipe alone can empty in 225 minutes. Then both pipes are draining together, how long does it take them to empty the pool? _______minutes. Click here to see answer by josmiceli(9676)

 Question 190055: please note that when it says D(o) it means that the o is a little number kind of like a base number. The lens equation for a camera is 1/F=1/D(i) +1/D(o) , where f is the focal length of the lens, D(i)is the distance between the lens and d(o) the film, and is the distance between the lens and the object. For a certain camera, an object that is 18 cm from the lens is in focus when the lens is 9 cm from the film. What is the focal length of the lens? Click here to see answer by solver91311(16885)

 Question 190090: Find the equation of the quadratic function with vertex (6, -40) and passing through the point (3,50) Click here to see answer by stanbon(57342)

 Question 190265: Solve for the unknow.Which would be X. 0=2x(x²+1)ˉ½-1 Click here to see answer by nerdybill(6958)

 Question 190478: draw /1 through (-4,0) and (0,6) what is the slope of any line parallel to /1 draw /2 through the origin and parallel to /1 Click here to see answer by Alan3354(30993)