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

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Question 846257: 6(x+2)> 7(x-5)
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Question 846618: Currently, the population of the US is 315 Million, with a national debt of approximately 17 trillion. Calculate the individual debt per person.
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Question 846913: The range of a function f(x) = 4x-5 is (-1, 7) find its domain

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Question 846810: y= x^2-x-6 / x^2+3x-18
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Question 846777: What is the equation of the vertical asymptote and horizontal asymptote of the rational function:
f(x) = 8x^2+2x-3/ x^2-4x

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Question 847058: How do you solve a function on a graph??
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Question 846989: How do I write a rule for the following functions?
x -1,0,1,2
y 1,3,9,27

x -1,0,1,2
y 3,1,1/3,1/9

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Question 847158: You are given the following function where f(0) = 2.
f(x) = (3x+66)/(2x-A)

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Question 847157: Express the area A of a rectangle as a function of the length x if the length is three times the width of the rectangle.
A(x) =

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Question 847224: what is the domain of c=35n?

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Question 847299: Choose the correct interval form for the RANGE of and then enter values for the endpoint(s) in the appropriate answer blank(s).
Let f (x) = − 2x2 + 12

(I got that the interval is (-infinity, 12]

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Question 847292: f(x) = −1/2x^2 − 2x + 5
is the function of a quadratic function.
1) Change f(x) into standard form and 2) Find the vertex

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Question 847632: (I'm really confused on this question, can someone please help)
Given f(x)=5+6x-x^2 find and simplify.

A)f(t-2)=____?
B)f(z+h)-f(z)=____?
C)f(b)+3=_____?

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Question 847651: what is the domain and range of the function 135=3K+5H
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Question 847652: Select the approximate values of x that are solutions to f(x) = 0, where
f(x)=-6x^2+2x+4


A: -.67,1.00
B: -6,2
C: -.33,-.67
D: -1.50,0.50

Click here to see answer by josgarithmetic(39618) About Me 

Question 847670: (I'm really confused on this question, can someone please help)
Given f(x)=5+6x-x^2 find and simplify.
I have to fill in a,b and c below. (Fill in the blanks)
A)f(t-2)=____?
B)f(z+h)-f(z)=____?
C)f(b)+3=_____?

Click here to see answer by Alan3354(69443) About Me 

Question 847931: Find the domain of each of the functions:-
f(x)=√(-x)
g(t)=√(2-cost)

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Question 848031: Given the following function rules and domains, find the associated ranges. Show work (thanks)
a. f(x) = 5x+3, domain= { 0,1,2,3,4}
b. f(x) = x^2 -1, domain = {1,9,4}

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Question 847710: Use the graphs of f(x)=-x^2+3x-2 and g(x)=-3 to find the roots of the equation
-x^2+3x+1=0

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Question 848238: Hello! I am working on combining functions, and I have a problem. The problem is f(x)= 2/x and g(x)= 4/x+4 and i am to add them together. I know it is set up as 2/x +4/x+4 and when i work it out, I don't get the answer like it is in the book. The book says 6x+8/x2+4x and I have no idea to get that
Click here to see answer by josgarithmetic(39618) About Me 

Question 848315: find the domain of each:
f(t)=t/t(t+7)
/f(x)=√x-2

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Question 848323: Given:g(t)=3t-4,find g(t-3)-g(3)/t
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Question 848348: G(x) - f(x) when f(x) = 3x+5 and g(x) = x^2n
Click here to see answer by josgarithmetic(39618) About Me 

Question 848462: y=3x-1/x+2
Does this equation define y as a function of x?

I see that there is one value for y and one for x. I would say that it is a function since y only has one value. If y had more than one value then it would not be a function of x. I was wondering if i was right or i think i might have it backwords. ANy help would be nice. Thank you all very much.

Click here to see answer by richwmiller(17219) About Me 

Question 848502: make a mapping diagram {(-1,4), (2,5),(3,5)}, then determine whether it is a function.
Click here to see answer by swincher4391(1107) About Me 

Question 848534: The function f is defined by f(x)=3x(squared)+4x
find f(-x)

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Question 848685: What are the solutions of f(x)=g(x) where g(x)=1?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 848846: the function f graphed above is defined for −4≤x≤5. for which of the following values of x is f(x)=2(f(x))?
a.-5
b.-2
c.0
d.4
e.5

Click here to see answer by fcabanski(1391) About Me 

Question 849273: f(x)=2x^2-3x-4
g(x)=2x+3
find (f+g)(x)

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Question 849536: Let g(x)=x^2+6x+1 , find and simplify g(-4)
Click here to see answer by Alan3354(69443) About Me 

Question 849865: Range of f(x)=x2+1
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Question 849829: Find the domain of f(t)= t^(1\2) + t^(1\3)
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Question 849882: Two functions are defined as: f(d) = 4d - 1 and h(d) = d^2 + 1

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Question 849837: Evaluate the function at the indiacated values.
f(x)=4x-5 ; a.)f(2) b.)f(-2)

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Question 849930: is the relation {(7,0),(9,3),(11,1),(13,0)}
a function?

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Question 850030: what is the domain of
f(x)=x/6x^3+7

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Question 850111: what is the domain and range of the function f(x)= -25x+900? explain your answer
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Question 850451: Its been a while since I have done functions, so I'm a little confused on this one.
if f(x)=4x/1-x and g(x)=2/x then f(g(x))=
the answer is supposed to be 8/x-2 but i got 8/1-x
I'm also a bit confused on this one as well
sqrt(a)/1+sqrt(a)=
the answer is supposed to be sqrt(a)-a/1-a but I just got 1

Click here to see answer by rothauserc(4718) About Me 

Question 850638: m=6 is the solution to which of the following equations
1. 4m-1=27
2. 2m-8=4
3. 5m+1=26
4. 3m+2=25

Click here to see answer by richwmiller(17219) About Me 

Question 850875: f(x) = x^2 + 6
g(x) = (x+8)/(x)
Find (g of f)(x).

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Question 851023: simplify g(x)=2f(x+1) +3
Click here to see answer by josgarithmetic(39618) About Me 

Question 851049: Find the derivative of the function f(x)=x^4 -5x^2-7x+3.
Click here to see answer by Alan3354(69443) About Me 

Question 851111: let f(x)=3x^3 and g(x)=1/3x
then f(g(5x+9)) = ....
how do I solve this.

Click here to see answer by josgarithmetic(39618) 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