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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 399155: I need help with this problem =
Click here to see answer by robertb(4012)

Question 399219: I don't understand how to solve this equation
Click here to see answer by richard1234(5390)

Question 399376: i need to graph this equation. i have no idea how to graph letters. please help me. g(x)=(x-3)^-4
Click here to see answer by ankor@dixie-net.com(15652)

Question 399590: what is the y intercept in this liner equation
y=-4x+4
Click here to see answer by Alan3354(30993)

Question 399635: 25x² +20x+4 = 0

Click here to see answer by checkley79(3050)

Question 399683: indicate the general shape of the following rational function by finding (1)the vertical asymptote VA,(2)
the horizontal asymptote HD,and (3)x and Y intercepts:
y=3x/x+2
Click here to see answer by stanbon(57347)

Question 399689: what is the vertical asymptote and horizontal asymptote for
f(x)= -x^2 + 2x -3/x^2+x-12
Click here to see answer by rapaljer(4667)

Question 399727: Attempting to solve what looks like a simple problem, but keep coming up with the incorrect answer.
5/4z - 3/8z
The problem is written as a fraction, with one term directly above the other. I've done the best I can to represent this here.
I came up with 2/4z, which I simplify to 2z. Can you help?
Click here to see answer by solver91311(16885)

Question 399993: 4x^2-12x-72=

Click here to see answer by Alan3354(30993)

Question 400035: write an equation of the line containing the given point and paralled to the given line (6,9)x+2Y=9 Thank you for your help!
Click here to see answer by ewatrrr(10682)

Question 400576: How do I Graph the relation x + |y| = 3. Do I need to solve it first before I can graph it? thanks for your help.
Click here to see answer by stanbon(57347)

Question 400576: How do I Graph the relation x + |y| = 3. Do I need to solve it first before I can graph it? thanks for your help.
Click here to see answer by josmiceli(9680)

Question 400861: i need to solve using multiplication principles
3/17x=21
or 3 over 17x=21
Click here to see answer by Fombitz(13828)

Question 400928: how do you solve -5x-(2x+3) is greater than or equal to 1? I have tried practically everything!!! Please help!!!
Click here to see answer by algebrahouse.com(1079)

Question 401123: √5w+13 = √7w+4
Click here to see answer by algebrahouse.com(1079)

Question 401129: (w+5)^2-20=0
Click here to see answer by stanbon(57347)

Question 401115: I am trying to do the following problems:
1. Let t(x) = { 1-3x for x <= -1
{ 1+x^2 for x > -1
Determine t(−3), t(−1), t(0), and t(5).

2. Graph f(x) = { |x| for x < 2
{ 1 for 2 <= x < 4
{ 1 − x for x >= 4
3. Draw the graph of y = −2|x + 1| − 4. Do not do this by plotting points. Instead construct a sequence of five graphs and get from one graph to the next by applying an appropriate
transformation.
4. Same as problem 3 for the function y = −4 sqrt x + 2 + 1.

Click here to see answer by stanbon(57347)

Question 401240: Beverly can drive 600 miles in the same time Susan can drive 500 miles. If Beverly can drive 10 mph faster than Susan, how fast does Beverly drive? i know this is the D=r*t formula, but the answer I got was 1/2. so i just think i have the set up the equation wrong.
Click here to see answer by nerdybill(6959)

Question 401238: It takes 10 minutes to fill Alisha's bathtub and 12 minutes to empty it. How long would it take to fill if the drain were accidentally open. I understand how to set this problem.
Click here to see answer by ankor@dixie-net.com(15652)

Question 401316: Use the rational zeros theorem to list all the possible rational zeros of the following
g(x)=5x^3+5x^2-5x+7
Be sure that no value in your list appears more than once.
Click here to see answer by stanbon(57347)

Question 401334: Please help with the following:
1. Is the graph of f(x) = x^1171−5x^109 +3 y-axis symmetirc, origin symmetric, or neither one. Explain your answer.
2. If f(x)= x+2 over x^2+1 and g(x) = 2 over x, determine f(3), g(3), (f + g)(3), (f − g)(3), (fg)(3), (f over g) (3), f ◦ g(3), and g ◦ f(3).
4. If f(x)= 2x-3 over 4x+5, detemine a formula for f^-1(x).
5. Is f(x) = x^2+2x-3 a one-to-one function? Explain your answer
6. For the polynomial f(x)= -11x^3+3x^2-x+1, what is the degree of F and what is its leading coefficent?
7. Consider the parabola with equation f(x)= -x^2-2x+15
(a) Does the parabola open up or down?
(b) What is the equation for the axis of symmetry for the parabola?
(c) What are the coordinates of the vertex of the parabola?
(d) What is the y-intercept of the parabola?
(e) Determine the x-intercepts if there are any.
(f) Sketch a graph of the parabola.
8. 8. A parabola has an x-intercept at 2, its axis of symmetry is the line x = 4, and the y- coordinate of its vertex is 6. Determine the equation of the parabola. Hint: The equation looks like y = ax^2+bx+c. Use the given information to figure out what a, b, c must be. For example, when x = 2, the y value must be 0 since 2 is an x-intercept. That means 0 = 4a + 2b + c. The other two given facts provide similar information about a, b, c.

Click here to see answer by richard1234(5390)

Question 401326: given that f(x)=2x+3 and g(x)=x squared - 2x, find f[g(x)]=
Click here to see answer by stanbon(57347)

Question 401595: if x and y are integers, graph all ordered pairs that satisfy the give conditions.
how do you graph -3 is less than or equal to x which is less than or equal to 2 and -1 is less than or equal to y which is less than 3
Click here to see answer by stanbon(57347)

Question 401729: (3x+7)^2
Click here to see answer by edjones(7569)

Question 401921: Find the general form of the line perpendicular to 3x + 5y - 8 =0 that passes through the point (-8, 1)
Click here to see answer by scott8148(6628)

Question 401922: Find the slope-intercept form of the equation of the line with the given properties. x-intercept = 4; y-intercept = 9
Click here to see answer by josmiceli(9680)

Question 401959: what is Y=-3x+3 graphed?
Click here to see answer by richard1234(5390)

Question 401994: I do not understand how to solve this equation:
(2x/3)-(1/2) = (2x+5)/6
Any help would be so useful! Thanks!
Click here to see answer by stanbon(57347)

Question 402167: Please help with the following:
1. Is the graph of f(x) = x^1171−5x^109 +3 y-axis symmetirc, origin symmetric, or neither one. Explain your answer.
2. If f(x)= x+2 over x^2+1 and g(x) = 2 over x, determine f(3), g(3), (f + g)(3), (f − g)(3), (fg)(3), (f over g) (3), f ◦ g(3), and g ◦ f(3).
4. If f(x)= 2x-3 over 4x+5, detemine a formula for f^-1(x).

Click here to see answer by stanbon(57347)

Question 402463: find the inverse function of the following
f(x)=-3x-2
Click here to see answer by MathLover1(6634)

Question 401984: c^2=9^2+6^2
rounded to nearest thousand

Click here to see answer by sofiyac(695)

Question 401920: Find the general form of the equation of the line passing through the points (-9, 5) and (6, -6).
Click here to see answer by sofiyac(695)

Question 401919: Find the slope of the line perpendicular to 3x + 14y = -18
Click here to see answer by sofiyac(695)

Question 402714: Please help with the following:
5. Is f(x) = x^2+2x-3 a one-to-one function? Explain your answer
6. For the polynomial f(x)= -11x^3+3x^2-x+1, what is the degree of F and what is its leading coefficent?

Click here to see answer by stanbon(57347)

Question 402729: Hello, I am having a hard time with the following two problems. Could someone please help with them I would very much appreciate it! Thanks
Consider the parabola with equation f(x)= -x^2-2x+15
(a) Does the parabola open up or down?
(b) What is the equation for the axis of symmetry for the parabola?
(c) What are the coordinates of the vertex of the parabola?
(d) What is the y-intercept of the parabola?
(e) Determine the x-intercepts if there are any.
(f) Sketch a graph of the parabola.

A parabola has an x-intercept at 2, its axis of symmetry is the line x = 4, and the y- coordinate of its vertex is 6. Determine the equation of the parabola. Hint: The equation looks like y = ax^2+bx+c. Use the given information to figure out what a, b, c must be. For example, when x = 2, the y value must be 0 since 2 is an x-intercept. That means 0 = 4a + 2b + c. The other two given facts provide similar information about a, b, c.

Click here to see answer by Alan3354(30993)

Question 402781: A parabola has an x-intercept at 2, its axis of symmetry is the line x = 4, and the y- coordinate of its vertex is 6. Determine the equation of the parabola. Hint: The equation looks like y = ax^2+bx+c. Use the given information to figure out what a, b, c must be. For example, when x = 2, the y value must be 0 since 2 is an x-intercept. That means 0 = 4a + 2b + c. The other two given facts provide similar information about a, b, c.

Click here to see answer by stanbon(57347)

Question 402842: Solve the equation: 2/5 - 3/x = 1/(5x)
Solve the equation: 3/(x+1) - 1/x = 1/2
I really dnt understand this. i tired hard so i really need your help. thankyou so much
Click here to see answer by jim_thompson5910(28595)

Question 403209: [SQRT(x-3)]-7=0
Click here to see answer by Tatiana_Stebko(1326)

Question 403318: Find the average rate of change f(x)=2x^2 +10 from x=2 to x=5
Simplify your answer as much as possible
Click here to see answer by solver91311(16885)

Question 403394: reduce each rational expression to the lowest term
(a^2-b^2)/(a-b)

Click here to see answer by sofiyac(695)

Question 403647: Solve this equation please: 4 + 1/x = 10/2x
Click here to see answer by rfadrogane(214)

Question 403817: How do I solve
(fog)(2) ? Let f(x) = 2xsquared - 5 and g(x) = 3x +1

Click here to see answer by Alan3354(30993)

Question 404007: what is the domain of the rational function f(x)=x/x^3-125
Click here to see answer by stanbon(57347)

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