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

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Question 229498: Find the domain of the function:
g(x) = 7/2-5x
A. x is a real number and x/=0
B. x is a real number and x >= 2/5
C. x is a real number and x /= 7
D. x is a real number and x /= 2/5 ?

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Question 229504: write the following without using logarithims.
ln a - ln b + xy = 0
Thanks!

Click here to see answer by nerdybill(7384) About Me 

Question 229675: Try to find f(x)andg(x)such that h(x)=f(g(x))(x)
h(x)1/(x^2-3)

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Question 229892: find the inverse of f(x)= 1/3x^3+1 is it one-to-one, why or why not?
Click here to see answer by stanbon(75887) About Me 
Question 229892: find the inverse of f(x)= 1/3x^3+1 is it one-to-one, why or why not?
Click here to see answer by jsmallt9(3758) About Me 

Question 229920: 1. The imput variable is called the _ variable.
2. The output variable is called the _ variable.

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Question 230026: Is the equation a function? Why or why not?
x^2+x^3+y=6x
I put it in slope-intercept form like so: y=6x-x^5
Also, is this a function, why or why not?:
y^2+2x-4=o
Thank you for your time

Click here to see answer by rapaljer(4671) About Me 
Question 230026: Is the equation a function? Why or why not?
x^2+x^3+y=6x
I put it in slope-intercept form like so: y=6x-x^5
Also, is this a function, why or why not?:
y^2+2x-4=o
Thank you for your time

Click here to see answer by solver91311(24713) About Me 

Question 230359: if g(x)=x squared+1 find the value of g(t)-4
Click here to see answer by user_dude2008(1862) About Me 

Question 230469: Evaluate the piecewise function at the given value of the independent variable.
f(x)=
{3x+1 if x<-1
{-2x-5 if x≥-1
;
f(2)

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Question 230516: I need to find the domain of: 7x^2-2x+12
How do I find the domain, please explain this to me so I know how to solve other problems like it. Please help!

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Question 230577: Hi. I was wondering if you could help me with this problem.
Given that f(3)=12 and f(5)=-2 find f(1/7)
I've tried the f(x)=mx+b formula
f(3)=m(3)+b=12
f(5)=m(5)+b=-2
5-3=2m and -2-12=-14
M=-14/-2
M=-7
And this is where I get stuck.
Thank you

Click here to see answer by jsmallt9(3758) About Me 

Question 230615: Given functions f and g, perform the indicated operations.
f(x)=2x-6
g(x)=9x-8
find f-g.

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Question 230655: functions G and F determine: a) (fºg)4) b) (gºf)(2) c) (FºF)(1) d) (gºg)(0)
Function to solve F(x)= 3/x^2+1; g(X)=sqr X

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Question 230719: I need help simplifying this equation:
+%28%281%2F%28x-2%29%29%2B1%29%2F%28%281%2F%28x-2%29%29-1%29%29+
I feel dumb for asking, but I can't seem to figure how I should start simplifying these type of functions.
Thank you in advanced~

Click here to see answer by stanbon(75887) About Me 

Question 230847: f(x)=-9x/4 +7 Need the algebraically inverse function
Click here to see answer by likaaka(51) About Me 

Question 230938: Find the indicated composition.
f%28x%29=17x%5E2-6x
g%28x%29=8x-5
(f*g)(8)

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Question 231151: Evaluate: [4.2] + [-4.1] + 3[-4.1] - [-4]
This is a GIF (Greatest Integer Function) Problem!
Thanks!

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Question 231313: given the function h described by h(x)= 9(x)
find the following:
h(-12)=
h(5)=
h(32)=

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Question 231654: I need help with parent function transformations
f(x)=-4(x+2)3cubed

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Question 231765: given the function f described by f(x)=x+18 find each of the following
f(0)= 18
f(-15)=-15+18=3
f(-14)=-14+18=4
f(5)=5+18=23
f(c+12)=(c+12)+18= c+30

Click here to see answer by curioustoknow(5) About Me 

Question 231947: If f(2m + 1) = 24m^3 + 36m^2 + 26m, what is f(x)?
Click here to see answer by stanbon(75887) About Me 

Question 231974: Hi,

Given the function F described by F(z)=2z^(2)+8z-3
Find the function value f(-7)=?
Thank you

Click here to see answer by vleith(2983) About Me 

Question 232209: How do you find the domain and range for the following Points?
{(1,3) (1,0) (1,-2) ( 1,8)} And is it a function. Thank you

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Question 232753: Do the domain and range have to be put in numerical order?
Click here to see answer by rfer(16322) About Me 

Question 232754: How do you know if a relation is a function?
Click here to see answer by dpaulin(12) About Me 

Question 232902: hi im having trouble doing my aldebra homwork and im in grade six do u ahve any ideas that will help me with this
Click here to see answer by unlockmath(1688) About Me 

Question 232981: A photographer charges a sitting fee of$15 plus $3 for each pose. Write a function to describe the situation.
Click here to see answer by rfer(16322) About Me 

Question 233052: hello
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Question 233228: State the domain for the following experssion
(x+5)/(x^2-36)

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Question 233239: Write the quotient
(2x^3+x^2-x+4)/(2x-5)

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Question 233260: Find f + g and f – g.

f(x)=3x squared plus 2x, g(x)=-x suared plus 4x

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Question 233361: For the given functions f(x)= 3/(x-4) and g(x) = x/2 find (f(g(x)). I started the problem by substituting x/2 in for f(x), so I get to f(g(x)) = 3/((x/2) -4).
Click here to see answer by stanbon(75887) About Me 

Question 233372: f(x) = 2-x^2 find (f(3+h)-f(3))/h
f(3)=2-9=-7
f(3+h)=2-(3+h)^2=2-(h^2+6h+9)=-7-h^2-6h
so (f(3+h)-f(3)) = -7-h^2-6h - -7 = -h^2-6h
then (f(3+h)-f(3))/h = -h-6 can I make that h+6 or not?? Did I do this correctly?

Click here to see answer by stanbon(75887) About Me 

Question 233543: find the domain the x2 the 2 is squared
p(x)= x2 + y

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Question 233549: Can anyone please help me make sense of this?? Thank you so much for your time!
Assuming that a, b and a/b(a divided by b) are whole numbers and b is not equal to 0. Explain why (a / b) xb= a ((a divided by b) x b = a).

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Question 233746: Rewrite the equation so that x is a function of y.
-10x= -5y-65

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Question 233752: Rewrite the equation so that y is a function of x
-10x= -5y-65

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Question 233754: Rewrite the equation so that y is a function of x.
6y - 6x = 15

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Question 233754: Rewrite the equation so that y is a function of x.
6y - 6x = 15

Click here to see answer by stanbon(75887) About Me 

Question 234361: What is the common difference?
0,-2,-4,-6

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Question 234397: Take a look at the table below and write out an equation for f(x).
x -2 -1 0 1 2
f(x) -2 2 6 10 14

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Question 234367: i have two tables i have to write functions rules for i know what the difference is between them but i dont know who to write it or explain it my book doesnt show me the first table is x- 1,2,3,4 y- 25,30,35,40
the second table is x-1,2,3,4 y $10.00, $12.50,$15.00,$17.50 im sure i can do it i just dont know how to write it please help me

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Question 234519: Good Morning
I was wondering if you could help me with this problem
Given F(x)=x^2+2 , Find F(a+2)-F(a)
I did
(a+2) (a+2)
a^2+4a+4
a^2+4a+4-a^2
Answer 4a+4
I'm not sure if this is correct though.
Thank you

Click here to see answer by stanbon(75887) About Me 

Question 234572: Hi again
A quick question about the domain and range of the relation:
(x,y): x^2+y^2<6
This relation has 19 ordered pairs that satisfy it.
I think the answer is either
Domain= -2<=x<=2 Range= -2<=y<=2
Or
Domain= {-2,-1,0,1,2} Range= {-2,-1,0,1,2}
I'm leaning toward the second choice yet I'm really unsure.
Thank you

Click here to see answer by stanbon(75887) About Me 

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