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

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Question 163873: How do you find the domain restrictions when simplifying rational equations?
Click here to see answer by Fombitz(32388)

Question 163985: I'm having a little trouble solving this one.
Given , Determine the domain of the inverse I am getting as the inverse. So the range would be
Am I on the right track here?
Thanks for you help.
Click here to see answer by jim_thompson5910(35256)

Question 164008: Let f(x)=2x+1 and g(x)=x^2+5 Evaluate (f*g)(1)
Click here to see answer by Alan3354(69443)

Question 164127: I need help to solve this please! Much appreciated! Thanks
If f (4)= 0 and f(6) =6, which of the following could represent f(x) and why?
A- x+2
B- x-4
C- 3x-12

Thanks
Click here to see answer by checkley77(12844)

Question 164191: Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: C(g)=3.03(g)

Find C(2)
Find C(9)

I have solved as...
C(2)=3.03(g)
C*2-3.03*g=0
is this correct?

C(9)...
C(9)=3.03(g)
c*9-3.03*g=0
Is this correct?

Click here to see answer by aka042(26)

Question 164265: wat is the domain of f(x)=1/x and g(x)=x+3 and f of g of x algebraically?
Click here to see answer by padmameesala(42)

Question 164277: Question: Write a cost function for the problem. Assume that the relationship is linear.
Marginal cost, $40; 70 items cost $3800 to produce
a) C(x)=14x+3800
b) C(x)=40x+1000
c) C(x)=40x+3800
d) C(x)=14x+100

Question: Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $10,500 in 1982 and $67,000 in 1987. Let x=0 represent 1982. Find the equation giving yearly sales S(x).
a) S(x)=11,300x+67,000
b) S(x)=56,500x+10,500
c) S(x)=56,500x+67,000
d) S(x)=11,300x+10,500

Mike
Click here to see answer by watchmath(2)

Question 164281: Determine the linear function whose graph is a line that contain the pionts (-3,-1) and (2, -6)
Click here to see answer by algebrapro18(249)

Question 164354: A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation as a set of ordered pairs in which the x-value represents the number of hours and the y-value represents the cost for x hours. Use a domain of 1,2,3,4,5. Is this relation a function? Explain
Click here to see answer by stanbon(75887)

Question 164358: I am having a hard time with this problem...can someone please help me out.
I am not sure how to graph this equation.

Graph the equation by plotting points.
y=-4

Click here to see answer by stanbon(75887)

Question 164361: I am having a hard time with this problem...can someone please help me out.
Find the slope and the y-intercept of the line. Write the fractional answer in lowest terms.
y=-4/2x-1/6
the slope is...?
the y-intercept is...?

Click here to see answer by stanbon(75887)

Question 164356: please help me in solving this equation...
*I'm thinking that you are suppose to use the format y=mx+b but I am unsure if this is correct*

Use the graph of the function f to find f(1), f(2), and f(3).
f(1)=
f(2)=
f(3)=

Click here to see answer by Alan3354(69443)

Question 164397: Having some trouble determing if I am right on my graph...
please help me graph this equation
Graph the function on paper
f(x)=4-[x]
Click here to see answer by josmiceli(19441)

Question 164427: Given f(x)=-sqrt(x)+2, determine the domain of f^-1(x)
Click here to see answer by Fombitz(32388)

Question 164428: Given f(x)=-sqrt(1-x), determine f^-1(x)
Click here to see answer by jim_thompson5910(35256)

Question 164428: Given f(x)=-sqrt(1-x), determine f^-1(x)
Click here to see answer by padmameesala(42)

Question 164446: Evaluate the function
Given f(x)=6x2 + 6x + 2 find f(4)
Click here to see answer by jim_thompson5910(35256)

Question 164446: Evaluate the function
Given f(x)=6x2 + 6x + 2 find f(4)
Click here to see answer by padmameesala(42)

Question 164443: find the domain and range of the function
y=x3 + 4
and
y=sq root x - 7
Click here to see answer by the_tutor2008(2)

Question 164473: I need to write as equation and solve.
One month's rent plus half of one months rent equals 1725
THanks
Click here to see answer by checkley77(12844)

Question 164485: what is the domain of p(x)=X2+1
Click here to see answer by themathprof(21)

Question 164561: find the value of x so that (x,12) satisfies y=4x+8
Click here to see answer by checkley77(12844)

Question 164576: Let f(x)=3x and g(x)=4x find each function and its domain
f-g?
I dont get it
Click here to see answer by stanbon(75887)

Question 164465: Suppose that the population of a certain city during a certain time period can be approximated by: P(x)0.1x^5+3.2x^4+5000 where x is time in years since 1960. Find P(13).
(a) 63,766
(b) 59,266
(c) 58,366
(d) 62,066

Click here to see answer by Fombitz(32388)

Question 164658: 4*4
Click here to see answer by checkley77(12844)

Question 164681: Find the range of each function.
1. g:x--> 5x+1, D={-1,o,1}
i do not understand how to do this. please help!
Click here to see answer by gonzo(654)

Question 164745: f(x)=2x-5 A. f(6) B. f(1)
Click here to see answer by Mathtut(3670)

Question 164742: Write the equation in function form.
4x+y=-10
Click here to see answer by checkley77(12844)

Question 164759: state whether each of the following relations is a function. If it is a function, state the independent variable and the correlation between variables.
1. Number of tickets sold for a benefit play and the amount of money made.
Click here to see answer by Earlsdon(6294)

Question 164837: 1. x^3-4=2, 2. And is this how you solve this problem? x3/2=125, x3/2=5^3 (3/2) 2/3=(5 3/1) 2/3 which the answer is 5^2 or write just 25 as the answer? 3. And how do I solve a algerbracially and check your potential solutions: (x)+20-x=0? 4. And if y=(x)-2 how do I feel in the following table for x=0,1,2?
Click here to see answer by MRperkins(300)

Question 164891: How would you find the domain of a function?
Click here to see answer by edjones(8007)

Question 164923: Given the function f(x)=square root of x-4
A.Find f-1(x)
B. Graph f and f-1 in the same rectangular coordinate system
C use interval notation to give the domain and the range of f and f-1
Thanks if anyone can offer me some help on this.
Click here to see answer by Fombitz(32388)

Question 165020:
I am having difficulties on how to work this type of word problem. any help appreciated.
The height s, in feet, of a rock thrown upward at an initial speed of 64ft/sec from a cliff 50 ft. above an ocean beach is given by the function
s(t) = -16^2 + 64t +50, where t is the time in seconds. Find the maximum height above the beach that the rock will attain.
Click here to see answer by nerdybill(7384)

Question 165021:
f(x) = sqrt(2-x). Find the domain and the range, and list the points.
Help appreciated.
Click here to see answer by tutorcecilia(2152)

Question 165153: Given f(x) = x^2 + 1 and g(x) = x-2
a. Find (f-g)(-2)
b. Find f[g(5)]
Any help appreciated!
Click here to see answer by stanbon(75887)

Question 165153: Given f(x) = x^2 + 1 and g(x) = x-2
a. Find (f-g)(-2)
b. Find f[g(5)]
Any help appreciated!
Click here to see answer by gonzo(654)

Question 165206: state the domain of the following and provide a brief explanation for your answer: f(x)=sqrt x-8
Click here to see answer by user_dude2008(1862)

Question 165209: state the domain of the following and provide a brief explanation for you answer: l(x)=5x-4
Click here to see answer by user_dude2008(1862)

Question 165208: State the domain of the following and provide a brief explanation for you answer: m(x)=(5)/(x^2-9)
Click here to see answer by jim_thompson5910(35256)

Question 165207: state the domain of the following and provide a brief explanation for your answer: h(x)=3x^2+5x-3
Click here to see answer by jim_thompson5910(35256)

Question 165235: you have a subscription to an online magazine that allows you to view 25 articles from the magazine's articles. you are charged an additional feefor each articleafter the first 25 articles viewed. after viewing 28 archived articles, you paid a totally of $34.80. after vieing 30 archived articles, you paid a total of $40.70.
a. what is the cost per archived article after the first 25 articles viewed.
b. what is the cost of the magazine subscription?

Click here to see answer by edjones(8007)

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