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

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Question 1048160: Given R(x), find R(−2).
R(x) = (3x + 11)/(−4x^3 + 28x)

Click here to see answer by josgarithmetic(39613)

Question 1048155: If f(x) = x2 + 8x − 7,what is f(3)?
Click here to see answer by josgarithmetic(39613)

Question 1048161: For f(x) = x^2 + 8x + 7, evaluate f(x + 2) − f(x). Simplify.
Click here to see answer by advanced_Learner(501)

Question 1048218: Solve (fg)(X)
F(x)= 5x squared - 5x+ 8
G(x)= 1-x squared
Click here to see answer by Boreal(15235)

Question 1048265: if f(x)=1/x & g(x)=square root of x+2, find f+g
Click here to see answer by stanbon(75887)

Question 1048296: Describe the constant a and b such that
f(x)= (2x+a)/(bx-2) and f(x)=f^-1(x) for all x in the domain of f.
Click here to see answer by robertb(5830)

Question 1048373: Is y= -8 a function
Click here to see answer by ikleyn(52754)

Question 1048380: if X^4+aX^3-3X^2+2aX+a^2 is aperfect square and has a factor (X+2). find (a), when (a) has this v�lue to obtain the square root of the expression in its factorized form
Click here to see answer by Edwin McCravy(20054)

Question 1048416: Could you please help me on this question?
If m(x)= x+5/x-1 and n(x) = x � 3, which function has the same domain as (m of n)(x)?

Click here to see answer by MathLover1(20849)

Question 1048553: . F(x)=1/2x; g(x)=1/3x
find f(g(x) and g(f(x)
State domain of each
Precalc questions
Click here to see answer by MathLover1(20849)

Question 1048659: ONE NIGHT THE CHIEF OF MANCHESTER COULD NOT SLEEP,SO HE WENT DOWN INTO THE ROYAL KITCHEN WHERE HE FOUND A BOWL OF RIPE MANGOES.BEING HUNGRY,HE TOOK 1/6 OT THE MANGOES.LATER THAT NIGHT,THE QUEEN MOTHER WAS HUNGRY AND COULD NOT SLEEP.SHE TOO TOOK 1/5 OF WHAT THE KING HAD LEFT.STILL LATER,THE FIRST PRINCE ALSO ATE 1/4 OF THE REMAINING MANGOES.EVEN LATER,HIS BROTHER,THE SECOND PRINCE,ATE 1/3 OF WHAT WAS LEFT.FINALLY,THE THIRD PRINCE ATE 1/2 OF WHAT WAS LEFT,LEAVING ONLY THREE MANGOES FOR YHE HOUSEHOLD SERVANTS.HOW MANY MANGOES WERE ORIGINALLY IN THE BOWL?
Click here to see answer by advanced_Learner(501)

Question 1048665: Kindly show me how to solve this question. Many thanks.
If the function: f(x)=(2x-8)^3 +15 , then what is f(a+4) ?
Click here to see answer by Alan3354(69443)

Question 1048723: the half-life of a certain radioactive substance is 8 hours. there are 5 grams present initially. which of the following gives best approximation when there will be 1 gram remaining.
Click here to see answer by josgarithmetic(39613)

Question 1048784: y=2^(1/x)
a) Find the domain
b) what value(s) can't 1/x take? Hence, find the range.
Click here to see answer by robertb(5830)

Question 1048891: the volume V of a given mass of a gas varies directly as the temperature T and inversely as the pressure P. If V=231cm^3 when T=300 degrees K (Kelvin) and P=20lb/cm^2, what is the volume when T=320 degrees K and P=16 lb/cm^2?

Click here to see answer by Alan3354(69443)

Question 1048923: I am trying to help my son with his homework and need help with this
F(-6y) f(x)=5-2x
Thanks a stumped mom
Click here to see answer by stanbon(75887)

Question 1049227: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 13.9 gallons. What is the average rate of flow of the gasoline into the gas tank?
Click here to see answer by Alan3354(69443)

Question 1049230: Given f(x) = −5x^5 − x^4 + 3x^3 − 7 and g(x) = −5x^5 − 5x^3 − 3x^2 + 3, find and simplify f(x) − g(x).
Click here to see answer by Alan3354(69443)

Question 1049228: Near the surface of the moon, the distance that an object falls is a function of time. It is given by d(t) = 2.6667t^2, where t is in seconds and d(t) is in feet. If an object is dropped from a certain height, find the average speed of the object from t = 1 to t = 4.
Click here to see answer by addingup(3677)

Question 1048554: Given f(1-x)+(1-x)f(x)=5 for all real number x, find the maximum value that is attained by f(x).
Now, this made me think really deep, but I just can't seem to analyze it.
Please help, thanks.
Click here to see answer by robertb(5830)

Question 1049387: suppose y varies inversely with x write an equation for the inverse variation
y=10 when x=2.4
answers
xy=0.24
y=24x
xy=24
Click here to see answer by jayreal(3)

Question 1049732: For the function f(x) = 5x^2 - 2x and g(x) = 4x -9, find and simplify (f - g)(x)

Click here to see answer by Alan3354(69443)

Question 1049800: If f(x)=x^2-3 and f(a)=46, what is the value of a. Explain
Click here to see answer by advanced_Learner(501)

Question 1049800: If f(x)=x^2-3 and f(a)=46, what is the value of a. Explain
Click here to see answer by MathLover1(20849)

Question 1049849: I have a problem here on my college algebra homework. It's x= square root of y. Need domain & range, how to graph it & determine if it's a function.
Click here to see answer by josgarithmetic(39613)

Question 1049880: The relation y=x^2-2 defines y as a function of x.
True or false?
Click here to see answer by MathLover1(20849)

Question 1049860: Perform the required operations on the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)].
A.) 2x - 6
B.) -x - 6
C.) 2x + 3
Please include explanation, thanks. :)
Click here to see answer by Cromlix(4381)

Question 1049897: Find the average rate of change of the function f left parenthesis x right parenthesis equals 3 xf(x)=3x from x 1 equals 0x1=0 to x 2 equals 4x2=4.
Click here to see answer by stanbon(75887)

Question 1049896: The relation yequals=plus or minus�StartRoot x squared plus 10 EndRootx2+10 defines y as a function of x.
true or false? and why?
Click here to see answer by Alan3354(69443)

Question 1050020: for the function f(x), find the maximum number of real zeros,the maximm number of x-intercepts, and the maximum number of turning points that the function can f(x)=x^6-x^3+3
Click here to see answer by josgarithmetic(39613)

Question 1050090: A Certain rectangle has length equal twice its width. Find its lenght, L, as a function of its perimeter, P.
Click here to see answer by jorel555(1290)

Question 1050162: hi, i am having trouble solving these , would you be so kind to explain how to determine whether the equation defines Y as a function of X:
1. 6x+3y^2=7
2. square root (6x) +y=5
3. 5x^2+y^3=27
4. 4x+ IyI=3

Thanks in advance it would help tremendously to understand on how to solve these
Click here to see answer by stanbon(75887)

Question 1050307: A local theater sells admission tickets for
$9.00 on Thursday nights. At capacity, the
theater holds 100 customers. The function
𝑀(𝑛) = 9𝑛 represents the amount of money
the theater takes in on Thursday nights,
where n is the number of customers. What
is the domain of M(n) in this context? Select
the correct answer.
A. All whole numbers
B. All non-negative rational numbers
C. All non-negative integers that are
multiples of 9
D. All non-negative integers less than or
equal to 100
Click here to see answer by stanbon(75887)

Question 1050406: Gregory and april have a daughter who needs math tutoring. They only have $180 to spend. The tutoring company they found charges $30 a week. Determine the domain and range for the function.
Click here to see answer by advanced_Learner(501)

Question 1050577: How do i find [F o g](3) from the given f(x)=x+5 and g(x)=x-3?
Click here to see answer by josgarithmetic(39613)

Question 1050617: how can i estimate the value of
x when h(x)=0
Click here to see answer by Fombitz(32388)

Question 1050626: i am having trouble with theese 2
1: y = g(x) = -2x^2 - 6x
2: The demand function for an electronics company's laptop computer line is p = 2400 - 6q , where p is the price (in dollars) per unit when q units are demanded (per week. Find the level of production that maximizes the manufacturer's total revenue and determine this revenue.
Click here to see answer by ewatrrr(24785)

Question 1050647: Write a function rule that represents this sentence
7 less than three fifths of b is a
I tried this but i was soo confused
Click here to see answer by Alan3354(69443)

Question 1050668: Jack is buying a subscription to a magazine club. The function c = 45+ 3.75m
describes the cost of the yearly subscription, c, in terms of the number of the
number of magazines, m, he orders.
What is the appropriate domain for the function?
A. The set of integers.
B. The set of whole numbers.
C. The set of all real numbers.
D. The set of rational numbers.
Click here to see answer by Boreal(15235)

Question 1050711: For f(x) = x2 - 16 and g(x) = 2x + 3, what is the domain of g/f?
Show all work
Click here to see answer by josgarithmetic(39613)

Question 1050710: Find the requested function value:
f(x)= x-7/9 , g(x)=7x+9
Find (gof)(-20)
Show all work
Click here to see answer by Alan3354(69443)

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