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

Tutors Answer Your Questions about Functions (FREE)

Question 165333: can you help me
i have to find the domain and do not understand the equation on how to do it.
g(x)= (7x+4)/(x+4)
Click here to see answer by nerdybill(7384)

Question 165371: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?
Click here to see answer by MRperkins(300)

Question 165374: Heidi has a brown pair and a gray pair of slacks; a brown blouse, a yellow blouse, and a white blouse; and a blue sweater and a white sweater. How many different outfits does she have if each outfit she wears consists of slacks, a blouse, and a sweater?
Click here to see answer by MRperkins(300)

Question 165387: This is my problem and I believe I have the answer (C(x))=3x+27,000 but I don't know the proper process for illustrating this. Please help!
# If the relationship between the total cost and the number of units produced is linear and if the total cost increases by $3 for each additional unit made:
1. Find the equation of the total cost function C(x) using the fact that C(1,000) = 30,000 (dollars) where x is the number of units produced.
Click here to see answer by jim_thompson5910(35256)

Question 165376: In a television game show, there are five questions to answer. Each question is worht twice as much as the previous question. If the last question was worth $6400, what was the first question worth?
Click here to see answer by Mathtut(3670)

Question 165421: state the domain of the following and provide a brief explanation for your answer: g(x)=(7x+4)/(x+4)
Click here to see answer by stanbon(75887)

Question 165369: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?
Click here to see answer by nerdybill(7384)

Question 165497: This is probably so basic but it's been a VERY long time and it just doesn't make sense to me. Please help! Thanks
1. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
a. f(x) = x + 5
b. f(x) = 3 if x>2 otherwise f(x) = -2
c. f(x) = 7 if x>0 or f(x) = -7 if x<0 or f(x) = 7 or -7 if x = 0
Click here to see answer by gonzo(654)

Question 165507: Suppose B is a proper subset of C.
(a)If n(C)5 8, what is the maximum number of elements in B?
(b) What is the least possible number of elements in B?
Click here to see answer by Edwin McCravy(20054)

Question 165529: Suppose C is a subset of D and D is a subset of C.
a. If n(C)= 5, find n(D).
b. What other relationship exists between sets C and D?
Click here to see answer by Edwin McCravy(20054)

Question 165500: Write the equation in function form.
5x - y = 7

Click here to see answer by Mathtut(3670)

Question 162453: A rectangle is bounded by the x-axis and the semicircle y=[36-x^2]square root. Write the area of the rectangle as a function of x, and determine the domain of the function.
This is the picture of the graph: http://hmco.tdlc.com/pre3e/common/ch30/ch30c/30c_images/2901087.gif
Click here to see answer by Edwin McCravy(20054)

Question 165543: This is another one that I'm stuck on. This is probably so basic but it's been a VERY long time. Please help! Thanks

4. For each of the relationships below, explain whether you think it is best described by a linear function or a non-linear function. Explain your reasoning thoroughly
a. A person's height as a function of the person's age (from age 0 to 100)
b. The probability of getting into a car accident as a function of the speed at which you drive
c. The time it takes you to get to work as a function the speed at which you drive
Click here to see answer by gonzo(654)

Question 165551: Please help! Thanks

3. Take a look at the table below and write out an equation for f(x).
x -2 -1 0 1 2
f(x) -1 1 3 5 7
Click here to see answer by scott8148(6628)

Question 165618: I need to simplfy this
35/25 times 40/14
Thanks
Click here to see answer by nerdybill(7384)

Question 165631: Can someone please explain to me how to do this problem?
Find the domain of the rational expression.
f(x)=3x+1
_____
x-5
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 165820: B=2a
Click here to see answer by Alan3354(69443)

Question 165871: can someone please help with this:
Write a cost function for the problem. Assume that the relationship is linear.
A moving firm charges a flat fee of $40 plus $35 per hour. Let C(x) be the cost in dollars of using the moving firm for x hours.
a. C(x) = 35x - 40
b. C(x) = 40x - 35
c. C(x) = 35x + 40
d. C(x) = 40x + 35
Click here to see answer by stanbon(75887)

Question 165993: Please help.
Solve for t
P=Irt
Would you just divide P by Ir, which will give you P/Ir=t?
Click here to see answer by jim_thompson5910(35256)

Question 166071: I need to solve both of these and am able to do the first one but not the second one.
#1 is $3/lb. = c/oz
I get $3/16 = 18.5 cents per oz.
This one I need help with below
5cm/min. = ? m/week
Any ideas??
Thanks
Click here to see answer by gonzo(654)

Question 166086: -4y-8=12x
Click here to see answer by elima4(15)

Question 166227: I really need your help, I am sort of confused.
We didn't go over an example like this in class, so I'm not so sure how i would do it, all it says is....
x=15
would i need to solve for x or something? Or would the answer be that it is a function because there is only one x and you don't know the y??
Click here to see answer by Mathtut(3670)

Question 166553: Please help.
Use the intermediate value theorem to determine whether g(x)=4x^3-3x+3 has a zero between -2 and -1.
Thanks
Click here to see answer by jim_thompson5910(35256)

Question 166584: Please help I'm having a problem with domains.
Find the domain of the following:
f(t)=log(t-5)
answer:
show your work or explain how you obtained your answer here:
Please help I'm sure of the rules for whole numbers. I think that the answer is
all real numbers but not sure how to prove my answer.
Thanks for all your help!
Click here to see answer by edjones(8007)

Question 166574: Find the domain of the following:
a) f(t)=log(t-5)
b) g(x)=5e^x
c) g(x)=ln(x+4)
d) g(t)=5^t
Explain how you obtained your answers
Click here to see answer by edjones(8007)

Question 166637: please help me solve this problem.
y=x2+4x
thats x squared.
i need it written in vertex form.
Click here to see answer by jim_thompson5910(35256)

Question 166679: Given the equation x^3-2x^2+x-3=3, what are the possible roots?
Click here to see answer by jim_thompson5910(35256)

Question 166656: I missed the day of class when we covered domains in my class, and now i am hopelessly lost.
Please help me solve the following problems, and explain how you did it. I am not very good at math, so the more you can break it down and explain it, the better.
find the domain of the rational function:
h(t)=(t-5)/(t^2-25)

g(x)=(x^3-27)/(4x)

the problems are written in faction form, but I don't know how to do that with the computer, so I am not sure if what i have written means the same thing. It should read t-5 over t^2-25.
I would really appreciate the help!
Click here to see answer by jim_thompson5910(35256)

Question 166713: Here is my math problem:
Find the domain of the following
a) f(t) = log(t - 5)
Here solution that I found: All real numbers greater or equal to zero because a negative number is undefined. Is this answer correct?
Click here to see answer by MRperkins(300)

Question 166959: I have tried this many times:
(6,8);9x+y=2
y=-9x+2

Click here to see answer by midwood_trail(310)

Question 166993: write an expression of the line containing the given point and perpendicular to the given line. Express the answer as y=mx+b. Simplify your answer.
(6,8);9x+y=2
y=-9x+2
y=1/9(x-x1)
y-y1= 1/9(x-x1)
y-8= 1/9(x-6)
This is where I get lost. I know that 1/9 is the slope, but when I multiply it by what is in the parenthesis and then subtract or add 8, I keep getting it wrong.

Click here to see answer by Fombitz(32388)

Question 167250: Chanda is now four times old as her sister Suzane. Next year, Chanda's age will be three times Suzanne's age then. How old is each now?
Click here to see answer by ankor@dixie-net.com(22740)

Question 167262: A 6 inch and a 18 inch diameter poles are placed tangent to each other and bound together with wire. Find the length of the shortest wire that will go around them.
Click here to see answer by Mathtut(3670)

Question 167354: Determine whether each relation ia a function.
26.x=15
28.y=3x+2y
Click here to see answer by stanbon(75887)

Question 167259: Find the composite function of f(g(x)) when f(x)=2x-5/x-3 g(x)=3x-2/1-x
Click here to see answer by aswathytony(47)

Question 167267: If the graph of the parabola y=kx^2+6x+k+8 is tangent to x-axis, then what is the positive value of k?
Click here to see answer by oscargut(2103)

Question 167521: Solve the equation for the given domain.
y = 2x + 3 for x = (-3, -2, -1, 1, 2,3)
Click here to see answer by partygirl1122(6)

Question 167541: Hi! i really need help with this problem, i've been going over my notes and i just dont know where to begin!
the problem reads:
State the domain in set-builder notation and interval notation
H(x)=3(x-2)^4/3
where (x-2)^4/3 is written INSIDE a radical

I would really appreciate it if someone could help me, thank you very much!
Click here to see answer by stanbon(75887)

Question 167604: I have been trying to get this and am having trouble. is my answer correct?
If y varies inversley as x and y=1.5 when x=8, find y when x=20.
y=k/x
1.5 = k/20
(20) 1.5 = k
30 = k

Click here to see answer by Mathtut(3670)

Question 167616: I need help with the following question.
The width of a rectangular blanket is 2/3 of the length. Express the area of the blanket as a function of L.
Would the answer be A(L) = 2/3L2 (the L is square).
Click here to see answer by nerdybill(7384)

Question 167607: This is another form of problem that I am having trouble with. I would appreciate any help you can give me.
d varies inversely as w and directly as the square of v. If d=40 when w=6 and v=2, find d when w=9 and v=4.
d=kv2
40=k(4)2
40=k(16)
40/16=k
5/2=k
Click here to see answer by ankor@dixie-net.com(22740)

Question 167617: Please help with the following:
For f(x)=x2-5 and g(x)=sq.rt x, find h(x)=(fg)(x).
(x2-5)(sqrt x)
h(x)=sq.rt. of x2-5
Is this right?
Click here to see answer by partygirl1122(6)

Question 167584: Solve y = -2x + 7 if the domain is {-2,0,4,7}
Click here to see answer by midwood_trail(310)

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