Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 235000: Give an example of a rational function that is undefined at x = a where a is a real
number. Next, state the domain of your rational function using both set notation and interval notation

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Question 235001: FORMULA:
f(x+h)-f(x)
___________
h

f(x)=5/x

a) Find f (x + h)
b) Find f (x)
c) Substitute f (x + h) and f (x) into the difference quotient formula
d) Simplify.
If the simplified result can be written as A/B
where A and B are expressions, what is A and
what is B?

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Question 235050: given the function f described by f(x)=10y squared+9y-6 find the function values.
f(-2)=?

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Question 235230: you join an aerobics class at a local gym. the cost is $3 per class plus $10 for the initial membership fee.
write an equation that shows the relationship between the number of classes n you attend and the amount you pay p.
i am in 8th grade and do not understand how to do this problem and my mom is smart and usually helps me but even she is stumped on this one. i hope you can help. thank you in advance for your help.

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Question 235240: given R(x)=3x2-2x+4, evaluate R(-2)
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Question 235329: Find the domain of the function.
p(x)=x squared - 2x + 9
What is the domain of p?

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Question 235543: 2x+5=180
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Question 235784: 3x+2y=12
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Question 235781: f (x) = x^2 - 4x - 1
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Question 235766: given the function g(v)=3v+4, find g(5), g(-7), and g(6.7).
find the slope of (5,3) and (8,-6)
what is the domain of g(x)=10
---
3-7x
find the indicated outputs for f(x)=5x 2squared -5x
f(0)=
f(-1)=
f(2)=

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Question 235932: find the domain of the function
p(x)=x^ - 2x +10
x^ means x squared, I hope I put that in right
thank you for your help, can wait to see the steps to this

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Question 235932: find the domain of the function
p(x)=x^ - 2x +10
x^ means x squared, I hope I put that in right
thank you for your help, can wait to see the steps to this

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Question 235802: Which of the following are functions?
a. f(x) = x + 4
b. f(x) = 3 if x>2 otherwise f(x) = -2
c. f(x) = 7 if x>0 or f(x) = -7 if x<0 or f(x) = 7 or -7 if x = 0
I believe A is a function but that B and C are not, but I am not sure. How do I tell?

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Question 235943: for the function f and g, find fog and gof and state their domains. g(x)=x+2
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Question 235971: What is the domain and range of {(-4,3),(-2,-1),(0,0),(1,4),(2,6)}
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Question 236883: determine whether y to be a function of x
the abosulte value of y equals x

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Question 237049: (0,5),m=-2
write the equation in standard form of the line that passes through the given point and has a slope of M or that passes throught the two given points

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Question 237368: I had a question in my exam today and i couldnt answer it fully
can you please help
Qeustion)a)
find the set of values of 'k' for which the equation 'f(x)=0' has no real solutions.
answer)
f(x)=x^2-kx+9, where k is a constant
b^2-4ac<0
k^2-4*1*9=k^2-36<0
k^2<36
k<6
-6 (-6,6)
that was fairly simple, however i struggled on the next part
Question)b)
Given that k=4,
express f(x) in the form (x-p)^2+q, where p and q are constants to be found.
answer)
Please help with this question because i really was angry when i couldnt complete it in my exam
thank you for your cooporation.
by the way i used '^' to show power of

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Question 237404: How would you determine two functions f and g such that h(x)= f(g) with a domain of (x)?
h(x)= (x-2)to the 4th power

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Question 237431: how can you find the function rule for
-2 12
1 9
4 6

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Question 237546: Given the range {-24, 0, 20}, what is the domain for the relation y = 4x - 4?
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Question 237611: long divison
p(x)=x^3+3x^2-10x-24 divided by x-3

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Question 237611: long divison
p(x)=x^3+3x^2-10x-24 divided by x-3

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Question 237611: long divison
p(x)=x^3+3x^2-10x-24 divided by x-3

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Question 237788: what does x equal for 4-(x+1)=8?
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Question 237848: write a polynomial function in standard form with the given zeros

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Question 237907: How would you find f(3) if f(x)=3x+7?
I missed this day in algebra and I am having a difficult time understanding this, for my textbook is very unexplanatory.

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Question 238108: Rewrite equation 4x-10y equals 11 as a function of x?
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Question 238207: Find the domain and range of the inverse of the function f(x)= 7 + 3e^x. I found the inverse to be y =ln(x-7)/3. I do not know how to find the domain and range of the equation. I know that the range of the original function is the domain of the invrse function, but that is it.
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Question 238247: find domain for function h
h(x) =15/x^2+6x+5

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Question 238257: subtract
21/17x - 5/17x

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Question 238257: subtract
21/17x - 5/17x

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Question 238355: In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.
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Question 238422: -15/13 divided by -10/11 =
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Question 238401: what is the domain of y = -4x?
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Question 238508: find the domain of each rational function
f(x)= 7x
____________
x^2+16

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Question 238636: Can you explain why y=x^2 is the graph of a function of x, while x=y^2 is not the graph of a function of x?
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Question 238585: how do you do this problem?
g(2x)+1

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Question 238695: Lim Sin (1/x)
X-0

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Question 238764: how do u solve 4(a)= 3a*3a-2
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Question 238767: I am having trouble with this question:
Find the domain of the function
g(x) = 8/3-5x
the / is supposed to under the 8 and the 3-5x is under the /
Any help would be appreciated. Thank you in advance for helping me with this problem.

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Question 238817: rewrite 6y-6x=15 so that y is a function of x
6y=15+6x
y=5/2+x

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Question 238252: simplify
m^2-16m / 16-m

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Question 239140: please help me solve this equation
The function, f(x)=2x^3-3x, is
a.even
b.odd
c.neither even nor odd
d.none of the above

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Question 239188: 20x^11 divided by 30x^7
30y^8 30y^4

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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, 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, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660