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

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Tutors Answer Your Questions about Rational-functions (FREE)


Question 43864: Determine the equation of any vertical asymptotes and the value of x for any holes in the graph: f(x)=(x^2-11x+18)/(x-2).
Thanks

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Question 43869: Determine whether y=1.5(1/6)^x represents exponential growth or decay.
Thank You

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Question 43863: Find LCM of m^2-4m-5 and m^2+8m+7.
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Question 43914This question is from textbook Algebra and Trigonometry with Analytic Geometey
: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3+i among its roots. Express f(x) as a product of linear and quadratic polynomials polynomials with real coefficients.
This question I'm having trouble with but I came up witha an answer of; f(x)=(x-4)(x^2-6x-9) is this right. thanks for looking at this question.
This question is from textbook Algebra and Trigonometry with Analytic Geometey

Click here to see answer by AnlytcPhil(958) About Me 

Question 43913This question is from textbook Algebra and Trigonometry with Analytic Geometey
: Find the polynomial f(x) of degree three that has zeroes at 1,2, and 4 such that f(0)=-16. My answer is f(x)=x^3-7x^2+14x-16, could this be right. thanks for checking my answer.This question is from textbook Algebra and Trigonometry with Analytic Geometey

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Question 43927This question is from textbook Algebra and Trigonometry with Analytic Geometey
: Find the horizontal asymptote of the rational function f(x)= 8x-12 divided by 4x-2. I came up with y=4 but I'm not to sure that is right. thanks for any help given.This question is from textbook Algebra and Trigonometry with Analytic Geometey

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Question 43926This question is from textbook Algebra and Trigonometry with Analytic Geometey
: Find the vertical asymptote of the rational function f(x)= 3x-12 divided by 4x-2 My answer is x=1/2 but unsure if it is right. thanks for any help given.This question is from textbook Algebra and Trigonometry with Analytic Geometey

Click here to see answer by longjonsilver(2297) About Me 

Question 43896: I just asked a question but was slightly wrong,here is the correct wording: If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x) is greater than 0. The last email said less than 0,I typed it wrong. Thanx
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Question 43865: If y varies as x and y=100 when x=10 and z=5, find y when x=12 and z=6.
Thanks

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Question 43867: Solve: 8/(t+5)=[(t-3)/(t+5)]+1/3.
Thanks You

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Question 43866: Identify the function represented by y=3/x.
Thank You

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Question 43952: A flagpole 4 m tall stands on a sloping roof. A siupport wire 5 m long joins the top of the pole to a point on the roof 6 m up from the bottom of the pole. At what angle is the roof inclined to the horizontal?
Click here to see answer by Paul(988) About Me 

Question 43923This question is from textbook Algebra and Trigonometry with Analytic Geometey
: Given that (3x-a)(x-2)(x-7) = 3x^3-32x^2=81x-70, determine the value of a. My answer came out to be 3, but not sure of my answer. thanks for looking over my answer.This question is from textbook Algebra and Trigonometry with Analytic Geometey

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Question 44002This question is from textbook INTERMEDIATE ALGEBRA
: . Multiply:
(5√[3] + √[5])(√[3] – 2√[5])
This question is from textbook INTERMEDIATE ALGEBRA

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Question 43816This question is from textbook Algebra and trigonometry with analytic geometry
: Find the polynomial f(x)of degree three that has zeroes at 1,2 and 4 such that f(0)=-16. my answer is f(x) = 2x^3+7x^2+14x+16 but I'm not sure. thanks for checking on this one.This question is from textbook Algebra and trigonometry with analytic geometry

Click here to see answer by Nate(3495) About Me 

Question 43811This question is from textbook Algebra and trigonometry with analytic geometry
: Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1. after working it out I came up with x^3+x^2+x+1; -1. not sure if thats right. thanks for any help given.This question is from textbook Algebra and trigonometry with analytic geometry

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Question 43868: Shetch the graph of y=1.5(2)^x. State the functins domain and range.
Thank You

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Question 44073: f(x)=6x-10/2x-a. Find the value of a. The answer is either 2,3,4 or 6? Thanks for any help:)
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Question 44071: y=(x-3)(x-5)(x-a). Determine the value of a. Thank you for your help!
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Question 44130This question is from textbook Algebra and Trigonometry with Analytic geometry
: For f(x)= 1 divided by x^2-2x-8, find the interval(s) where f(x)<0. My answer is after plotting it out; (-2,4) could this be right. thanks for looking it over with me.This question is from textbook Algebra and Trigonometry with Analytic geometry

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Question 44126This question is from textbook Algebra and Trigonometry with Analytic geometry
: Second post; Given that (3x-a)(x-2)(x-7)= 3x^3-32x^2+81x-70. There shouldn't have been a = after 32x^2 sorry about. Please check my answer again. which is 3. This question is from textbook Algebra and Trigonometry with Analytic geometry

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Question 43814This question is from textbook Algebra and trigonometry with analytic geometry
: Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solution to f(x)-f(1)=0, besides x=1. my answer is 2,5 is that riht. thanks for checking for me.This question is from textbook Algebra and trigonometry with analytic geometry

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Question 43815This question is from textbook Algebra and trigonometry with analytic geometry
: A rectangle is placed under the parabolic arch given by f(x)=27-3x^2 by using a point (x,y) on the parabola. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen. Ok so far this one has given me some trouble trying to work out. Came up with answer of f(x)= 6(27-3x^2) it this right.This question is from textbook Algebra and trigonometry with analytic geometry

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Question 44373: I am having some difficulty with an equation. I worked it out, atleast I thought I did, and I got a totaly different answer then the real answer.
4x-3y+7z=38
x+4y+z=16
5y-z=6
my final was x=45, y=-2, z=-21
According to my assignments, it was totaly different.
Can you help me with this equation please.

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Question 44610: Determine the domain and range of each relation
y=sqrt(x-1)

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Question 44611: graph each relation and state its domain and range
x=sqrt(y-1)

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Question 44609: Determine the domain and range of each relation
y=sqrt(x-1)

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Question 44636: (5 square root 11-9) squared
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Question 44638: (9-4i)(4+8i)
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Question 44655: 4+9i over 8-3i
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Question 44667: 7 over 4+6i
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Question 44660This question is from textbook Algebra and Trigonometry with Analytic geometry
: How do I insert a graph that needs to be part of my question. thanks for the info on how to do this.

This question is from textbook Algebra and Trigonometry with Analytic geometry

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Question 44608: sqrt(3)/2 sqrt(2) + sqrt5 / 3 sqrt(2)
need to simplify this.

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Question 44760: An engineer is constructing a rectangular solar- energy panel for a satellite. The panel has a width of square root x +1 and a length of square root of x +6. Find the area of the panel in square inches.
it is the square root of x not x +1

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Question 44762: X^2-Y^2 over X^3+Y^3
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Question 44761: 3 square root of 125x^5y^6 over 125
divide and simplify. Assume that all variables represent positive numbers

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Question 44807: The maximum number of volts, E, that can be placed across a resistor is given by the formula E= square root of PR, where P is the number of watts of power that the resistor can absorb and R is the resistance of the resistor in ohms. Solve this equation for R. Use the result to determine the resistance of a resistor if P is 1/4 watts and E is 6 volts.
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Question 44814: How Do I tell what the answer and sign is to this.
(x-5)(x+2)<0.

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Question 44814: How Do I tell what the answer and sign is to this.
(x-5)(x+2)<0.

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Question 44951: Simplify:
(x^5)(x^π)

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Question 44948: Graph:
(x^2/9) - (y + 2)^2/9 = 1

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Question 44950: simplify:
d/(d^2)-9)+5/2d+6

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Question 44964: 3
________
7 - sqrt of 2

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Question 44962: Can you show me a step by step process in solving this:
(1- sqrt of 5)(1+sqrt of 5)

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690