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

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Question 758603: A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h.

Function is g(x)= -10/x

Click here to see answer by stanbon(57940) About Me 

Question 758389: i need to figure out the number of fish that are in the aquarium from 1month to a year p is the number of fish which is p(x)=90(1+1.5x)/1+0.5x
one month after the fish is placed in the aquarium what is the total number of fish
three months after the fish are first placed in the aquarium what is the total number of fish
six months after the fish are first \placed in the aquarium what is the total number of fish
one year after the fish are first placed in the aquarium what is the total number of fish

Click here to see answer by MathLover1(6801) About Me 

Question 758150: Find the perimeter of triangle ABC, with coordinates A(-3, 0), B(0, 4), and C(3, 0)
Click here to see answer by MathTherapy(1479) About Me 
Question 758150: Find the perimeter of triangle ABC, with coordinates A(-3, 0), B(0, 4), and C(3, 0)
Click here to see answer by Cromlix(696) About Me 

Question 757935: Please help me solve this?. . . Thank You! Divide and simplify to lowest terms.
4x^2-4x/4x-1 divided by x-1/4x-1

Click here to see answer by stanbon(57940) About Me 

Question 757934: Please help me solve this?. . . Thank You!
y^2-4/6y+30 * y+5/y-2=
Simplify your answer. Use integers or fractions for any numbers in the expression.

Click here to see answer by stanbon(57940) About Me 

Question 757860: When we talk about rational expressions, we also talk about limiting the domain or range of a function. How are functions limited when we create rational expressions such as 6/x?
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Question 757631: 1-list the possible rational roots for 5x^8 -x^7 + 6x^6 - 7x + 8, as given by the rational roots theorem
2- if -5 is one root of x^3 + x^2 -15x + 25, what are the others?

Click here to see answer by lwsshak3(6742) About Me 

Question 757508: y=(x^2+3x+2)/(9-x^2)
please help me find the VA, HA, graph, domain and range. Thank you so much! :)

Click here to see answer by lwsshak3(6742) About Me 

Question 757303: Graph the rational function 4x/(x-2)
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Question 757303: Graph the rational function 4x/(x-2)
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Question 757119: what is the standard form of y=(2x+1)(x-3)(5-x)
Click here to see answer by stanbon(57940) About Me 

Question 756978: xL/o + xK/o + 1 = 3
Click here to see answer by tommyt3rd(1108) About Me 

Question 756990: (4(-x)^3+1)/(-x)^3
Click here to see answer by Alan3354(31487) About Me 
Question 756990: (4(-x)^3+1)/(-x)^3
Click here to see answer by dkppathak(100) About Me 

Question 756620: Please help me solve for t!!!!
7t/a-t - a+t/7t

Click here to see answer by KMST(1936) About Me 

Question 756641: -2 3 -3 -4 9

Click here to see answer by Alan3354(31487) About Me 

Question 756552: Let f(x)=x^2+1 and g(x)=3x-1. Find f(g(x)) and simplify the result.
A.3x^2
B.3x^2+2
C.9x^2-6x
D.9x^2-6x+2

Click here to see answer by josgarithmetic(1765) About Me 

Question 756468: 1.By what should the sum of 2/3 and -3/4 be divided to get 5/4
2.Represent the following rational numbers on the number line
a) -18/5
b)35/6
c)16/7
d)-14/9

Click here to see answer by josgarithmetic(1765) About Me 

Question 756372: i need help to understand how to finethe answer to f(x)=3x-7 to find f(3)
Click here to see answer by josmiceli(9817) About Me 

Question 756040: Write an equation for the parabola whose vertex is at (2,6) and which passes through (4,-4)
Click here to see answer by tommyt3rd(1108) About Me 

Question 755446: 4x^4-21x^3-46x^2=219x=180

Click here to see answer by solver91311(17059) About Me 

Question 754720: (-10m^9-4m^8-12m^6)/2m^4
Click here to see answer by MathLover1(6801) About Me 

Question 754662: how can i solve 2/6√8?
Click here to see answer by Cromlix(696) About Me 

Question 754661: how can i solve 2/ 6square root of 8?
Click here to see answer by rothauserc(254) About Me 

Question 754547: I need to make a graph, so I need at least 4 points from this +y=%28x-5%29%5E2%2B5+
Click here to see answer by Alan3354(31487) About Me 

Question 754067: What are the discontinuities and asyomptotes of (x-2)(x+1)/(x+1)(x-3)
Click here to see answer by Peter14(2) About Me 

Question 753709: 2. The following rational function describes blood concentration of a certain drug taken via IV over time, find
a. the horizontal or oblique asymptote(s), if any,
b. the vertical asymptote(s), if any,
c. describe their possible meanings.
f(x)=x^2-x-2/2x^2-x-21

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Question 753513: If f(x)=(x+2)/(x-3)
a) Find a formula for f^-1 (please show work)
b) Show algebraically, that they are inverses of each other.
Thanks in advance for your time and assistance.

Click here to see answer by josgarithmetic(1765) About Me 

Question 752974: I am trying to find the amplitude and period for this function (if you can also describe a bit of what the graph looks like as well would be beneficial to my understanding):
g(x)=3sin1/2(x+2)-1
This is exactly how the function is written, barring the fact that the 2 is directly under the 1 (so the (x+2) isn't under the fraction)
Thank you very much for your help!

Click here to see answer by rothauserc(254) About Me 

Question 752993: Find the indicated values for below.
Chart
The chart has two columns with one number in each. For example, under x is -4 and under f(x) is 3 and so on.
_x__ __f(x)__
-4 3
-2 8
0 13
2 18
4 23
a.) f(-2)=
b.) f(2)=
c.) For what value of x is f(x)=13?

Click here to see answer by stanbon(57940) About Me 
Question 752993: Find the indicated values for below.
Chart
The chart has two columns with one number in each. For example, under x is -4 and under f(x) is 3 and so on.
_x__ __f(x)__
-4 3
-2 8
0 13
2 18
4 23
a.) f(-2)=
b.) f(2)=
c.) For what value of x is f(x)=13?

Click here to see answer by jim_thompson5910(28696) About Me 

Question 752757: f(x)+=(3x-1)(x+2)(5x-4)
Click here to see answer by tommyt3rd(1108) About Me 

Question 752737: simplify the expression

3x^2-X^2
________
4x

Click here to see answer by MathLover1(6801) About Me 

Question 752694: Please help me solve this equation
(27xy/8x)(4x^2/3xy^3)

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Question 752369: Solve using row operations: x + 2y = 10; 3x +4y = 8

Click here to see answer by stanbon(57940) About Me 

Question 752142: Find the domain of f(x)=x%5E2%2B2x-15/sqrt%28x-9%29
The first term is being divided by the second term if you can't see that clearly. Thanks in advance for any help that you could provide.

Click here to see answer by josgarithmetic(1765) About Me 

Question 751594: what does it mean if f(2)=g(2)
Click here to see answer by RedemptiveMath(80) About Me 

Question 751497: how is 1-3 log base 5 of x equivalent to log base 5 (5/x^3)??
Click here to see answer by stanbon(57940) About Me 

Question 751496: the dial to be constructed will be 200 mm in length. and the frequencies will be from 55 to 160 kilohertz. if distance in millimeters is the independent variable (d) and frequency in kilohertz is the dependent variable (f) give two ordered pairs that can be developed from this given information.
Click here to see answer by stanbon(57940) About Me 

Question 751326: Graphing systems of inequalities
Click here to see answer by Edwin McCravy(8999) About Me 

Question 751237: Solve the following rational inequalties for the given variable
x+3/2x<2

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Question 750843: A line segment GH has equation 3x+2y=15
(i) determine the gradient of GH
(ii) Another line segment, JK, is perpendicular to GH and passes through the point (4,1). Determine the equation of the line JK.If JK

Click here to see answer by Cromlix(696) About Me 

Question 750754: 2* 2^6

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Question 750568: Completing the square x^2-4x=5
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