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

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Question 286853: Write an equation for

b) A function that has the shape of but upside down and shifted left 4 units.
Click here to see answer by richwmiller(9143)

Question 286859: Given that 2i is a root of the polynomial equation x^4 - 45x^2 - 196 = 0,find the solution set for the equation.
Click here to see answer by Alan3354(30993)

Question 287168: solving for x
7x+3 over x squared-8x+15 + 3x over x-5 = 1 over 3-x
how would I rearrange the (3-x) so that the x won't be a negative? if I factor out a -1, does that mean that I do it to the WHOLE probem? or just the fraction of 1/3-x ?
Click here to see answer by richwmiller(9143)

Question 287314: how do i graph the function 2x^2+8x+4
Click here to see answer by Alan3354(30993)

Question 287314: how do i graph the function 2x^2+8x+4
Click here to see answer by texttutoring(324)

Question 287322: What are the steps to solve this equation? g(x)= -4x + 7/-3 + 7
Click here to see answer by richwmiller(9143)

Question 287653: determine any horizontal or vertical asymptotes or holes for y=3/x^3-2x
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Question 287650: create a function of the form y= f(x)that has an asymptote at x= -1 anad a hole at x=2
Click here to see answer by richwmiller(9143)

Question 287678: If given expressions were used as the denominators of rational expressions, then what would be the LCD for the following pair of denominators?
8m^3wp, 20mw^5p^8
Click here to see answer by richwmiller(9143)

Question 287736: This is a two-part problem.

For

A) Find (FºG)(x)

B) Find the domain of (FºG)(x)

What I have so far, which I am not totally sure about it:
(FºG)(x) = simplified into

Is that correct for step A)? And how do I find the domain for step B)?
Click here to see answer by richwmiller(9143)

Question 287735: Construct and Simplify the difference quotient
for the function given by:
I am really having trouble with this type of problem
Click here to see answer by Edwin McCravy(8909)

Question 287895: Consider two functions, f and g, given by: and
Find the domain of f/g
Click here to see answer by jim_thompson5910(28595)

Question 287895: Consider two functions, f and g, given by: and
Find the domain of f/g
Click here to see answer by CharlesG2(828)

Question 287994: project question... there are 3 plans the function rule for plan A is y=10,000X, the function rule for plan B is y=2,000x - 1,000 and plan B is y=.2x and i need to graph this?? what is the scale?? what should the x-axis be??
Click here to see answer by stanbon(57377)

Question 287926: Express the function in the form by completing the square
Click here to see answer by jim_thompson5910(28595)

Question 287328: This is a two-part problem.
For
A) Find (FºG)(x)
B) Find the domain of (FºG)(x)

What I have so far, which I am not totally sure about it:
(FºG)(x) = simplified into
Is that correct for step A)? And how do I find the domain for step B)?
Click here to see answer by jsmallt9(3296)

Question 287329: Construct and Simplify the difference quotient
for the function given by:
Click here to see answer by jsmallt9(3296)

Question 288069: How do you solve the following:
Input 0 = Output 100
Click here to see answer by Alan3354(30993)

Question 288069: How do you solve the following:
Input 0 = Output 100
Click here to see answer by richwmiller(9143)

Question 288117: c=5/9(F-32)
Click here to see answer by kensson(21)

Question 288151: Tickets= -0.2x squared + 12x + 11 Does the graph open up or down and why. Describe what happens to the ticket sales as time passes. Use the quadratic equation to determine the last day that tickets will be sold. Will tickets peak or be at a low during the middle of the sale and why? After how many days will the peak or low occur? How many tickets will be sold on the day when the peak or low occurs? What is the point of the vertex? How many solutions are there to the equation and why. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense? Help I am totally lost. thank you
Click here to see answer by ankor@dixie-net.com(15657)

Question 288129: Find the values of x and y
4x-5y=-3
9x-2y=-6
Click here to see answer by user_dude2008(1861)

Question 288118: y=-x-5
Click here to see answer by Alan3354(30993)

Question 288523: Show the work done to find the polynomial function equation?
Crosses the x-axis at -4,0, and 2. Lies above the x-axis between -4 and 0. Lies below the x-axis between 0 and 2.
All I know is that it has x-intcepts at -4, 0, and 2.
Please help me?
Click here to see answer by scott8148(6628)

Question 288534: use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given function.
f(x)=x^5-1.7x^4-17.65x^3+3x^2+45x-15.411
Click here to see answer by Edwin McCravy(8909)

Question 288688: Find the inverse of the function h(x) = 5x-4
Click here to see answer by user_dude2008(1861)

Question 288731: sketch a function which has a vertical asymptote but no horizontal asymptote?
Click here to see answer by Fombitz(13828)

Question 288768: how do you do the problem x-2/x+5+1=x-7/x+8
Click here to see answer by richwmiller(9143)

Question 288795: Please help.
I don't know how to start solving this problem: If f(x)=2^x-1 and g(x) = x^2-1, determine the value of (f o g)(3)
Thank you for your time
Click here to see answer by texttutoring(324)

Question 288824: Use the Rational Zeros Theorem to find all possible zeros of

Click here to see answer by richwmiller(9143)

Question 288928: f(x)= 2x^-1 g(x)= x-2
f(g(x))
Click here to see answer by stanbon(57377)

Question 288826: Suppose that a polynomial function of degree 5 with rational coefficients has the numbers , , as zeros. Find other zeros.
I am not positive what Degree 5 means, and although I could find the zeros through trial and error, I know there is some process a bit easier, could you show me?
Click here to see answer by jsmallt9(3296)

Question 288830: Find vertical asymptotes of the graph of
Click here to see answer by jsmallt9(3296)

Question 289061: Simplify each complex fraction?
1. (1+1/x)/(5-1/y)
Solve Equation and check solution.
1. (2x-4)/x-5=0
~I don't understand how to do them. Thanks
Click here to see answer by nyc_function(2733)

Question 289060: Rational functions and i need to know how to setup and graph:
x^2+1
_____
x-1
Click here to see answer by nyc_function(2733)

Question 289093: construct a rational function whose vertical asymptotes are located at x=2 and x=k where k<0.
Click here to see answer by Fombitz(13828)

Question 289092: what are the vertical asymptotes of y(g)=2-g/g^2+9?
Click here to see answer by Fombitz(13828)

Question 289568: I am having difficulty understanding the concept of expanding an equation.
Specifically, expanding: (x+(1/8))^2
I know the answer is: x^2+(x/4)+(1/64)
However I do not know how to arrive at this answer, and would like to get this concept down.
Please help?
Thanks
Click here to see answer by richwmiller(9143)

Question 289717: i need to simplify this problem: x+1/x+1/x-1
Click here to see answer by stanbon(57377)

Question 289717: i need to simplify this problem: x+1/x+1/x-1
Click here to see answer by solver91311(16897)

Question 289650: a fualty firworks rocket is launched vertically with an initial velocity of 124ft/s and then falls to the earth unexploded. Its height h in feet after t seconds is given by h(t)= -16(Tsquared) + 124T. During which time interval after launch will the height of the rocket exceed 100 feet.
Click here to see answer by jsmallt9(3296)

Question 289867: Hi, I hope someone can help me. My problem is:
Niagara Electric charges a flat fee of $8.50 for the first 1000 kilowatt hours used, $0.05 per kilowatt hour for the next 4000 kilowatt hours, and $.04 per kilowatt hour for each hour used thereafter. What is the expression for the cost function, C(x), using standard notation?
Click here to see answer by ankor@dixie-net.com(15657)

Question 289931: I'm looking for the answer to the question
x^4-81x^2=0
I know it's GCF but what is the answer?
Click here to see answer by Fombitz(13828)

Question 289931: I'm looking for the answer to the question
x^4-81x^2=0
I know it's GCF but what is the answer?
Click here to see answer by Earlsdon(6287)

Question 289911: In baseball, a player's batting average is the total number of hits divided by the total number of times at bat. A baseball player has 13 hits after 41 times at bat. How many additional consecutive times must the batter hit the ball to achieve a batting average of .440?

Click here to see answer by richwmiller(9143)

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, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055