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

Tutors Answer Your Questions about Functions (FREE)

Question 340172: determine whether the equation defines y as a function of x.
x2(SQUARE) + Y=36
Click here to see answer by Fombitz(32388)

Question 340624: Could you help me Explain how Multiplying the edge length of a cube by a number affects the volume of the cube. Thanks!
Click here to see answer by solver91311(24713)

Question 340690: x=16+6
Click here to see answer by rfer(16322)

Question 340706: Can you help me understand if y=1/2-6 could be a function & explain?
Click here to see answer by stanbon(75887)

Question 340924: f(x)=sqrt(x+1/x-5) the domain is (-infinity,-1)u(5,infinity) does the inequality sign on the top of the fraction point the opposit way. When solving I started out with x+1>or equal to 0 and x-5>or equal to 0 so my answer was
(-1,5)u(5,infinity) where did I go wrong? Are all functions able to be solved to discover their domain or is it a guessing game?
Click here to see answer by solver91311(24713)

Question 341175: Is (city,area code) a function?
Is (person,birth date) a function?
Is (first name, last name) a function?
Is (student, school ID number) a function?
Click here to see answer by stanbon(75887)

Question 341202: What is the domain of f(x) = 10/x^2-2x ?
Click here to see answer by stanbon(75887)

Question 341219: algebra funtions
x
2 5
4 13
6 21
8 29
10 37
what is the function rule?
Click here to see answer by Alan3354(69443)

Question 341272: f(x)=1/((x-4)(√(x+2)))
g(x)=√(20-x)
find domain of fog
Click here to see answer by edjones(8007)

Question 341165: Kim starts to walk 3 mi to school at
7:30 A.M. with a temperature of 0�F. Her brother Bryan
starts at 7:50 A.M. on his bicycle, traveling 10 mph faster
than Kim. If they get to school at the same time, then how
fast is each one traveling?
How do I solve this word problem because I am at a lost. I am totally pulling my hair out with this one. Please help me somebody!!!!
Click here to see answer by galactus(183)

Question 341337: Find the domain of the expression. -4 /(3-x)
A. All real numbers x such that x ≠ -3
B. All real numbers x such that x ≠ 0
C. All real numbers x such that x ≠ 4
D. All real numbers x such that x ≠ 3
Click here to see answer by edjones(8007)

Question 341433: Let f(x) = 3x � 42 and g(x) = 5x.
Part 1 [4 points] What is (f ◦ g)(x) ?
Part 2 [2 points] Use complete sentences to describe the method you used to solve this problem.

Click here to see answer by Theo(13342)

Question 340858: Directions: For each function f, construct and simplify the difference quotient.

f(x)=3x-5
- I have no problem with setting up the problem, but I have the most trouble with solving with fractions.

Click here to see answer by Fombitz(32388)

Question 341753: I need help with this problem:
Find the domain
x+13/x^2-1
Click here to see answer by stanbon(75887)

Question 342264: Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 48 cups. But when you raise your price to $2 you only sell 27 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
Click here to see answer by MathTherapy(10549)

Question 342353: Take a look at the table below and write out an equation for f(x). Show your work.
x -3 -2 1 3 4
f(x) 0 3 12 18 21

Click here to see answer by stanbon(75887)

Question 342353: Take a look at the table below and write out an equation for f(x). Show your work.
x -3 -2 1 3 4
f(x) 0 3 12 18 21

Click here to see answer by Edwin McCravy(20054)

Question 342375: A size 36 shoe in France is size 3.5 in England. A function that converts shoe sizes in France to those in England is g(x)=3x-94 over 4 fraction. A size 6 shoe in the United States is size 3.5 in England. A function that converts shoe sizes in England to those in the United States is f(x)=x+5 over 2 the 5/2 is a fraction.
a. Use composition of functions to find a function that converts shoe sizes in France to those in the United States. Simplify the function.

b. Determine the shoe size in the United States for a size 38 shoe in France.

Click here to see answer by stanbon(75887)

Question 342277: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
Click here to see answer by ankor@dixie-net.com(22740)

Question 342466: f(x)= X^2+2x^2 / (x-1)^2
Click here to see answer by Fombitz(32388)

Question 342625: find the domain of the function h(t)=4/t
Click here to see answer by stanbon(75887)

Question 342625: find the domain of the function h(t)=4/t
Click here to see answer by solver91311(24713)

Question 342638: Hello I am needing help on this question. Provide an example of at least five orderd pairs that do not model a function. The domains will be any five integers between 0 and 20. The range will be any five integers between -10 and 10. Yhy does your example not model a function? can not sure 9
Click here to see answer by stanbon(75887)

Question 342641: What is a function, in your own words? give an example of a function using a variable x and explain how we evaluate a function for a given value of x.
Click here to see answer by solver91311(24713)

Question 342653: find the domain of the function g(x) = 1/x - 3/x+2
Click here to see answer by stanbon(75887)

Question 342677: Algebra - in and out boxes - in -1 out -1, in 3 out 27, in -2 out -8, in 0 out 0. I know this is simple, but I'm a 60 year old dad trying to help out an adopted daughter and I'm CONFUSED!! Thanks.
Click here to see answer by Alan3354(69443)

Question 342649: find the domain of the function f(x) = 5x to the second power +2x-1... and please explain who you figure this out..
Click here to see answer by Fombitz(32388)

Question 342702: f(x)= X^3+2x^2 divided by (x-1)^2
Click here to see answer by jim_thompson5910(35256)

Question 342655: find the domain of the function: f(s)= the square root of s-1/s-4
Click here to see answer by Fombitz(32388)

Question 342668: State the domain for each function.
a)y=-8
b)y=3x / x(2x+1)
c)y=x-1 / x^2+3x+2
d)√9-x^2 < square root is extended
i) y=3 / √x^2-36
Click here to see answer by Fombitz(32388)

Question 342816: Find the equilibrium point of the demand and supply functions D(p)=8060-16p and S(p)=6625+25p.
Click here to see answer by Fombitz(32388)

Question 343026: Function composition: f(x)=4x-3, g(x)=5xsquared-2 and i need the to have the g[f(X)] explained. Thanks!
Click here to see answer by solver91311(24713)

Question 343324: Decide whether the following information defines a function. If it does, state the domain of the function.
{(0,0)(1,1)(2,2)(3,-3)}
Click here to see answer by haileytucki(390)

Question 343221: f(x)= sq root 8-x
Click here to see answer by haileytucki(390)

Question 343355: find domain and range of
y=sqrt16-25x^2
Click here to see answer by Fombitz(32388)

Question 343585: domain of a constant

Click here to see answer by jim_thompson5910(35256)

Question 343634: Please help me solve this equation: 42.73=-.03t+45.4. I know the answer is 89 but I cannot determine how to get 89. I tried 42.73 times .03+45.4 but that is not correct. I also tried to divide both sides by -.03 but again that does not work.
Click here to see answer by scott8148(6628)

Question 343882: What is the domain of this funtion, {(x,y): |x|=|y| and |y|≤ 2}?
Click here to see answer by Jk22(389)

Question 344145: Need help for Grade 11 functions question:
The function f(x)has the property that f(2x+3)=2f(x)+3 for all x. If f(0)=6, what is the value of f(9)?
Thank you so much!
Click here to see answer by nyc_function(2741)

Question 344340: find domain for y=x+5 if the range is (10,20,30,40)

Click here to see answer by Fombitz(32388)

Question 344103: solve for x if -4x < 12 and x + 4 > -5
Click here to see answer by Fombitz(32388)

Question 344641: how do i write 8x+y-4=0 in function form?
Click here to see answer by crbarnett8(3)

Question 344645: Consider the function g(x)=x2+x-5. Evaluate g(x-2) =
x2 = x to the 2nd power
Click here to see answer by Fombitz(32388)

Question 344623: The relationships in the tables below are functions. Write a function rule for each table.
x y
1 20
2 16
3 12
4 8
Click here to see answer by Jk22(389)

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