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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 139376: Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational (fractional) exponents? Provide the class with a third expression to simplify that includes rational (fractional) exponents.
The two laws I came up with are;
(ab)^m= a^mb^m = To raise a product to a power, we can raise each factor to the power.
a^m • a^n = a^m+n = In multiplying, we can add exponents if the bases are the same.
I do not know how to do the rest.
Click here to see answer by solver91311(16868)

Question 139559: what are the zeros to the function :
(3/3x-4) + (2/x-1) = 2
Click here to see answer by ankor@dixie-net.com(15634)

Question 140203: Simplify i^41. (The answer in the back of the book is "i" -- I can't figure out how that answer is arrived at)
Click here to see answer by scott8148(6628)

Question 140199: i^41 (the answer in the back of the book is "i" -- I just can't figure out how that answer is arrived at)
Click here to see answer by scott8148(6628)

Question 140261: a photo is 8 inches long and 5 inches wide. If reduced copy is made so that the width is 3 inches, what will be the length of the copy?
Click here to see answer by ankor@dixie-net.com(15634)

Question 140419: FOR ALL "r" IS NOT EQUAL (+)OR(-) 2, r^2-5r+6 / r^2-4 = ?

Click here to see answer by stanbon(57239)

Question 140516: How do I find the rational zeros of this equation?
Click here to see answer by stanbon(57239)

Question 140633: x^2+12x+y^2+12y+36=0
Click here to see answer by Edwin McCravy(8881)

Question 140729: a pickup can travel 300 miles in the same time that a car going 10 miles per hour faster can travel 350 miles. How fast is the car traveling?
Click here to see answer by solver91311(16868)

Question 140634: Please help me solve the equation, f(x) = 2x-5 divided by x+4, find f-1(x). This is a problem which the teacher created from this section of the book. Thank you for your help and assistance. Gary
Click here to see answer by ankor@dixie-net.com(15634)

Question 141035: y varies directly as x^2 . y is 24 when x is 4. Find y when x is 2
Click here to see answer by stanbon(57239)

Question 141034: One pipe fills a pool in 6 hours . A second pipe can fill the same pool in 4 hours, how long would it take to fill the pool if both pipes were working?
Click here to see answer by stanbon(57239)

Question 141033: seven times the reciprocal of a number plus 2/3 is 3. Find the number
Click here to see answer by ankor@dixie-net.com(15634)

Question 139478: I don't really understand functions.
Click here to see answer by solver91311(16868)

Question 141064: b+5/4b+b-2/b=?
Click here to see answer by checkley77(12569)

Question 141244: i need this rational funtion simplified & graphed on a chart will you help? the question is y=x+3
x+1
Click here to see answer by stanbon(57239)

Question 141325: .
I remember going over cubes and I can solve the problems with but the cubes confuse me.
Click here to see answer by Edwin McCravy(8881)

Question 141393: Rationalize
3/ 2
-
5x
Click here to see answer by checkley77(12569)

Question 141488: .
Click here to see answer by Edwin McCravy(8881)

Question 141591: Please explain the steps to me for exponential functions. A example is 2^x=1.2+2.5
Click here to see answer by edjones(7569)

Question 141665: 2x-5y=-6
Click here to see answer by checkley77(12569)

Question 142265: write an equation in slope-intercept form fr a line that passes through the given pair of points.
(9,-5)(1,-8)
Click here to see answer by checkley77(12569)

Question 142394: Select any imaginary number ( of the form "a + bi" where a and b are non zero real numbers), and turn it into a real number by using addition, subtraction, multiplication, division, or exponentiation.
Click here to see answer by ptaylor(2048)

Question 142509: Hello, I need help with graphing a rational function:
f(x)= 1/x+2
From Algebra 2 Book on page 489 #24
Click here to see answer by rapaljer(4667)

Question 142510: I have another question:
How do I graph this rational function f(x)= 6/(x-6)^2
Thanks!
Click here to see answer by rapaljer(4667)

Question 142512: Here's my problem:
f(x)=-3/(x-2)^2 I need to graph it.
Thanks for the help!
Click here to see answer by rapaljer(4667)

Question 142513: f(x)=x^2-36/x+6
I need help graphing this rational function.
Thank you so much for your help!!
Click here to see answer by rapaljer(4667)

Question 142514: I am having trouble with this problem:
I have to graph f(x)=a^3/x^2+a^2 if a=4
It would be so cool if someone could help me out on this one. Thanks!
Click here to see answer by rapaljer(4667)

Question 142393: Choose any irrational number and turn it into a rational number by using addition, substraction, multiplication, division, or exponentiation.
Click here to see answer by solver91311(16868)

Question 142974: find the y intercept of the liner function that runs through points (3,7) and (-3,3)
Click here to see answer by BrittanyM(80)

Question 142636: Find the domain of h(x) = 3x^2 + 5x - 3. I got the answer (-2, -5). I don't believe that is correct, but it is what I got. Also, the domain of 3/x^2 + 7. I got (infinity, 15). I am almost positive that is wrong, but the graph that showed up was very confusing for me.
Click here to see answer by nabla(475)

Question 141886: Is this function always increasing, decreasing, or remaining constant?
y=0(-x+1)
a. always increasing
b. always decreasing
c. always constant
d. there is no way to know
Click here to see answer by nabla(475)

Question 141884: Is this a function?
x + y = 12
a. yes
b. no
c. It depends
d. None of the above

Click here to see answer by nabla(475)

Question 143075: PLEASE HELP
Eliminating the parameter in the parametric equations x = 5-3t, y = 2+t yields the equation
a. y = -x + (11/3)
b y = (-x/3) + (11/3)
c. y = (-x/3) + (1/3)
d. y = (-x/3) - (1/3)
THANK YOU

Click here to see answer by stanbon(57239)

Question 143104: Can you Please Help Me Solve This equation by using the substitution method?
-x+y+0
y=4x+5
Click here to see answer by jim_thompson5910(28503)

Question 143119: Slove each system using the substitution method.
x+4y=0
-x+2y=6
Click here to see answer by checkley77(12569)

Question 143108: Please Help me find the solution of this equation by using the elimination(linear combination0 method.I already got x which is 2.4 put I can not get y.
3x-2y=5
2x+2y=6
Click here to see answer by checkley77(12569)

Question 143130: can you please rewrite the equation in standard form.
4y=24+2x

Click here to see answer by 090131(1)

Question 143136: 3x-2y=6
2x+2y=6
solve using the elimination method
Click here to see answer by oscargut(891)

Question 143151: sketch a graph of each rational function. Show all asymptotes and/or holes.
1. y=(4)/(x^2-1)
2. y=(3x)/(x^2-3x)
Click here to see answer by nabla(475)

Question 143238: 3 sqrt(2x-6)+8=10
Click here to see answer by checkley77(12569)

Question 143372:
Alright my problem is this. It is a quadratic function with the arrows pointing upward. I have to figure out which equation goes with it. Here are the equations:
y=[[x]]-2, y=2|x|, y=2sq root of x, y= -3, y= .5x^2, y= - 3/x+1, or y= -3/x
Click here to see answer by stanbon(57239)

Question 143387: #24.)
y=2.5x I have to identify the type of function represented by each equation. Then graph the equation.
Thank you for your help :)
Click here to see answer by jim_thompson5910(28503)

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