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

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Question 976377: Find the inverse function of f.
f(x)=5x+3/x-6
f^-1(x)=

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

Question 976482: Complete the following functions
F(x)=x-2, g(x)=x^2
Find (f+g)(x) and its domain
find fg(x) and its domain
find (F/g)(x) and its domain.
Can someone please show show a step by step instructions for at least one of them please.

Click here to see answer by Boreal(15235) About Me 

Question 976657: f(x) = x − 7, g(x) = |x + 7|
whats (f times g)(x)
whats its omain in interal notation
whats (G times f)(X)
and its domain in interval notation
whats (G times g)
and its domain in interval notation
whats (F TIMES F)

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

Question 976712: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Round your answers to at least 1 decimal place.
Find the size of the bacteria population after 80 minutes?
Find the size of the bacteria population after 10 hours?
I have the formula for doubling but am i doing it by 30 min? if so how do i write that in my exponent.

Click here to see answer by FrankM(1040) About Me 

Question 976726: The rat population in a major metropolitan city is given by the formula n(t)= 79 e^(0.015 t) where t is measured in years since 1992 and n(t) is measured in millions.
What was the rat population in 1992 ?
What is the rat population going to be in the year 2009 ?

Click here to see answer by jim_thompson5910(35256) About Me 
Question 976726: The rat population in a major metropolitan city is given by the formula n(t)= 79 e^(0.015 t) where t is measured in years since 1992 and n(t) is measured in millions.
What was the rat population in 1992 ?
What is the rat population going to be in the year 2009 ?

Click here to see answer by josmiceli(19441) About Me 

Question 976711: Find a formula for the exponential function passing through the points (-2,5/16) and (3,320). Use x as your input variable... y=?
I tried a few times, i watched a video and believe i am doing the steps right but i overthink simplifying fractions so its throwing me off.

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

Question 976771: A triangle's height, h, is twice the base, b. If the area of the triangle is 64 units, what are the triangle's dimensions?
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Question 976818: A high school band held a bake sale. The number of cupcakes sold was two more than four times the number of cookies sold. The band sold a total of 67 cupcakes and cookies. How many cupcakes were sold?
Click here to see answer by FrankM(1040) About Me 

Question 976830: Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x)
pls help!

Click here to see answer by MathLover1(20850) About Me 

Question 976829: Function rule for table
X/f(x)
-------
0/5
1/8
2/11

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Question 976934: A farmer has invested $25,000 into his corn crop. Once his crop is harvested, he makes $4,983 per bale. Which equation best represents P, the amount of profit the farmer makes when producing 6 bales of corn?
A. P= 25,000 - 4,983 x 6
B. P= 4,983 x 6 - 25,000
C. P= 25,000 + 4,983 x 6
D. P= (25,000 - 4,983) x 6

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

Question 976946: Find f(x-6) for f(x)= -2x^2+9+1
Please help! Need answer in a ordered pair.

Click here to see answer by MathLover1(20850) About Me 

Question 976973: The function y = 15.75x represents the cost y (in dollars) of x tickets for a museum. Write an appropriate domain for this situation.
Please help me with this question. Thank you!!

Click here to see answer by FrankM(1040) About Me 

Question 976971: The perimeter of a square depends on the length of its sides. Find the domain of this function in the given context.
Please help me with this problem, thank you!!

Click here to see answer by MathLover1(20850) About Me 

Question 976939: Find f(x-6) for f(x)= -2x^2+9x+1
Click here to see answer by stanbon(75887) About Me 

Question 976989: Take any wire of length 16 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)^2 + C^2/4(pi symbol) where C = 2(pi symbol)r

1) S + C =____________

2) A =_______ + _______________ (Write the equation in terms of C. )

3) Find dA/dC.

4) Set dA/dC = 0 and solve for C.
5) Check if A’’ is positive. If it is positive, the total area is minimum.

6) S = ___________ and C =_______________
Please help me with this problem. Thank you so much!!

Click here to see answer by Alan3354(69443) About Me 
Question 976989: Take any wire of length 16 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)^2 + C^2/4(pi symbol) where C = 2(pi symbol)r

1) S + C =____________

2) A =_______ + _______________ (Write the equation in terms of C. )

3) Find dA/dC.

4) Set dA/dC = 0 and solve for C.
5) Check if A’’ is positive. If it is positive, the total area is minimum.

6) S = ___________ and C =_______________
Please help me with this problem. Thank you so much!!

Click here to see answer by htmentor(1343) About Me 

Question 977089: What is range of given function
(-2,0) (-4,-3) (2,-9) (0,5) (-5,7)

Click here to see answer by MathLover1(20850) About Me 

Question 977087: What is domain of the function
x -6 y -7
x -1 y 1
x 0 y 9
x 3 y 2

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Question 976986: The perimeter of a square depends on the length of its sides. Find the domain of this function in the given context.
Please help me with this question. Thank you!!

Click here to see answer by KMST(5328) About Me 

Question 977189: Use the like bases property to solve the equation
3(10)^n = 3000

Click here to see answer by MathLover1(20850) About Me 

Question 977190: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year, compounded continuously. How many years will it take for your balance to reach 20000 dollars?
Click here to see answer by JulietG(1812) About Me 

Question 977263: y=2x+3
Click here to see answer by Alan3354(69443) About Me 

Question 977270: suppose the function :
f(x)=4x^2-5x+1
Write down Df and solve inequality f(x)-<0

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Question 977281: How, why and what is the domain of y= 3sinx
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Question 977273: Find the domain and range of f(x)= x^2-2x-3\x^2 2x 3 and find the expression for f(3x 4) and hence find f(4)
Click here to see answer by Edwin McCravy(20056) About Me 

Question 977407: determine whether Y is a function of X for x^2+y^2 =4
Click here to see answer by Fombitz(32388) About Me 

Question 977367: Take any wire of length 20 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.
A = Area of square + Area of circle.
= (S/4)2 + C2 /4π where C = 2πr
1) S + C =____________

2) A =_______ + _______________ (Write the equation in terms of C.)

3) Find dA/dC.

4) Set dA/dC = 0 and solve for C.

5) Check if A'' is positive. If it is positive, the total area is minimum.

6) S = ___________ and C =_______________

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

Question 977584: The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall charges $85 per half hour up to a maximum of 4 hours plus a $50 cleaning fee.What is the greatest value in the range for this situation?
Click here to see answer by josmiceli(19441) About Me 

Question 977526: Does a function with the domain (-∞, ∞) exist in a real situation? Justify your answer with suitable example(s).
Please help me with this question. Thank you!!!

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

Question 977662: Please determine the domain and range of the relation and tell whether the relation is a function.
{(12,0)(23,-9)(37,0)(12,8)(46,8)}

Click here to see answer by jim_thompson5910(35256) About Me 

Question 977735: f(x) = 15x - 12
g(x) = -15x^2 + 14x - 10
find g(g(7))
A. -6288203
B. 6543
C. 639
D. -4595
E. 538
F. -162,632

Click here to see answer by Cromlix(4381) About Me 
Question 977735: f(x) = 15x - 12
g(x) = -15x^2 + 14x - 10
find g(g(7))
A. -6288203
B. 6543
C. 639
D. -4595
E. 538
F. -162,632

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

Question 977757: A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small action figures as large action figures. Based on this information, can the boy get 80 small action figures?
Click here to see answer by Cromlix(4381) About Me 

Question 978054: Find the domain and range of the function f(x) =x ^2 - 2x-3/x^2+2x+3 and hence find expression for f(3x+1) and determine f(4)
Click here to see answer by josgarithmetic(39618) About Me 

Question 978092: The one to one function f is defined on the domain x>0 by f(x) = (2x-1)/(x+2).
A) State the range, A, of f.
B) Obtain an expression for f^-1 (x) for x∈A.
I'm sorry for the two part question, but I'm really confused as to what A is.

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

Question 977999: Take any wire of length 60 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.


A = Area of square + Area of circle.
= (S/4)2 + C2 /4π where C = 2πr
1) S + C =____________

2) A =_______ + _______________ (Write the equation in terms of C.)

3) Find dA/dC.

4) Set dA/dC = 0 and solve for C.

5) Check if A'' is positive. If it is positive, the total area is minimum.

6) S = ___________ and C =_______________

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

Question 978157: g(x)= x^4-3x^3+2x^2+x-1. Find the range.
I have factored to (x-1)^2(x^2-x-1) and used quadratic equation to find roots of 0.618 and -1.618.
What do I need to do from here to find the value of the minimum y value?

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

Question 978200: The one to one function f is defined on the domain x>0 by f(x) = (2x-1)/(x+2).
A) State the range, A, of f.
B) Obtain an expression for f^(-1) (x) for x∈A.
I am assuming that the letter A is only a variable used to represent the range of f(x). If that is the case, how can an expression be made for the inverse function?

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

Question 978202: Is this equation y^3-x^=7 the define the function or not?
Click here to see answer by Alan3354(69443) About Me 

Question 978212: What is the domain and range of f(x) = x-2/3.
I have subbed numbers into x to find y but i don't know the how high the domain and range will go.

Click here to see answer by Boreal(15235) About Me 

Question 978651: A box contains 150 candles. It has a width that is five times the height of the box and a length that is thrice the width of the box. The volume of each candle is 1 in^3. Find the height of the box.
Please, please help!! Thank you!!

Click here to see answer by Boreal(15235) About Me 

Question 978608: State the domain and range of the following relation:
x--- 0,2,3,2
y--- 8,-4,9,4
a.Domain:0,2,3 b.Domain:0,2,3
Range -4,4,8,9 Range:4,8,9
C.Domain:0,2,3 D:Domain:-4,4,8,9
Range:-4,8,9 Range:0,2,3

Click here to see answer by MathLover1(20850) About Me 

Question 978684: Please help me solve this function, I don't know where to start!
f(x)= Sqrt(x+5)-x+1
Find f{sqrt(2)-1}

Click here to see answer by Fombitz(32388) 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