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

Tutors Answer Your Questions about Functions (FREE)

Question 1119146: The avg arithmetic mean of 5 different integers is 100.If the largest integer is 120 what is the least possible value of the smallest integer?
6
16
26
None
Click here to see answer by ikleyn(52780)

Question 1119145: The equation of a circle in the xy plane is x^2+y^2+8x-10y=-5. What is the radius of the circle?
A)-6
B)6
C)36
D)None
Click here to see answer by ikleyn(52780)

Question 1119572: If g(x) = (-7x+1)/(x^2+1). Find g(3).

Click here to see answer by josgarithmetic(39617)

Question 1119571: Given f(x)=squarerootof(x−3)f(x)=squarerootof(x−3), what is f(4)f(4)?

Click here to see answer by josgarithmetic(39617)

Question 1119570: Given f(x)=squarerootof(x−3)f(x)=squarerootof(x−3), what is f(4)f(4)?

Click here to see answer by josgarithmetic(39617)

Question 1119701: f(x)=x^2+2x+4 if x>1 or x=1, and f(x)= 3x+4 if x<1 and g(x)=x-3, solve f(g(x)).
Click here to see answer by stanbon(75887)

Question 1119764: Hi, I need some help understanding this absolute value inequality function. I don't understand why the answer says 'x' is not a real number.
"-5|x-3|-5<15".
I worked it out and I thought the solution was x<-1 or x>7 but it wasn't correct according to the answer. Could you please help me? Thank you!
Click here to see answer by ikleyn(52780)

Question 1120020: Use a system of equations to find the cubic function
f(x) = ax^3 + bx^2 + cx + d that satisfies the equations. Solve the system using matrices.
f(−1) = 6
f(1) = 4
f(2) = 15
f(3) = 42
Click here to see answer by Alan3354(69443)

Question 1120171: Suppose the point (−1,5) is on the graph of a function f(x).
(a) If f is even, then what other point (besides (−1,5)) must also lie on the graph of f(x)? Explain.
(b) If f is odd, then what other point (besides (−1,5)) must also lie on the graph of f(x)? Explain.
Click here to see answer by greenestamps(13200)

Question 1120436: find the domain of the function:
f(x)=x-3/x^2-7x-8
f(x)= x-3 over x^2-7x-8
Click here to see answer by solver91311(24713)

Question 1120883: If f(x) = 2x � 4 find f(q + 1)
Click here to see answer by josgarithmetic(39617)

Question 1120883: If f(x) = 2x � 4 find f(q + 1)
Click here to see answer by Shin123(626)

Question 1120935: Let f:R->R be a function such that f(a+b)=f(a)+f(b) and that f(2008)=3012. What is f(2009)?
Click here to see answer by ikleyn(52780)

Question 1121043: If f(7)=-5, g(7)=2, f'(7)=3, and g'(7)=-1, find (2f.3g)'(7). Show your calculation.
Click here to see answer by greenestamps(13200)

Question 1121043: If f(7)=-5, g(7)=2, f'(7)=3, and g'(7)=-1, find (2f.3g)'(7). Show your calculation.
Click here to see answer by ikleyn(52780)

Question 1121433: Given the function, find it's domain.
f(x) = (6 x+11)/(x^2 -1 x -12)
Click here to see answer by josgarithmetic(39617)

Question 1121433: Given the function, find it's domain.
f(x) = (6 x+11)/(x^2 -1 x -12)
Click here to see answer by ikleyn(52780)

Question 1121609: How would you determine if y=8 a function?
Click here to see answer by MathLover1(20849)

Question 1121642: How do you determine whether is an even, odd, or neither and what is its symmetry?
If I recall correctly even tests are f(-x) = f(x), odd tests are f(-x) = -f(x) and even has a symmetry in respects to the y-axis and odd to the origin? But I don't know how to approach the above function.
Click here to see answer by MathLover1(20849)

Question 1121659: Let evaluate and simplify

Click here to see answer by josgarithmetic(39617)

Question 1121678: The cost of a camp is $300 for the first week and $125 for each week
beyond the first. The total cost can be modeled by the expression
300 + 125(x � 1). What does (x � 1) represent?
A. The number of weeks.
B. The cost of two weeks.
C. The cost of weeks after the first week.
D. The number of weeks after the first week.
Click here to see answer by solver91311(24713)

Question 1121736: what is the domain of f(x)=29+25√29x+36
using interval notation ?
Click here to see answer by solver91311(24713)

Question 1121753: How do you find domain of A(x)=sqrt(9-x^2)?
Click here to see answer by ikleyn(52780)

Question 1121838: Let f (x) =-5x+6 for what value of x does function f have the given value ? f(x) =-9
Click here to see answer by solver91311(24713)

Question 1121874: In administering rescue breathing on an adult, the rescuer firstly gives two regular sized breaths followed by a circle of ten breaths every minute.
a.Create a function where n represents the number of breaths you would need to administer to a victim over t number of minutes.
b. Describe in words, the input and output of the function you created.
c. What type of function did you create, and what would be the domain?
d. Create a table with 2 columns and list the input and output.

I'm not sure if I'm on the right track but I thought the function might be:
n(t)= 2 + 10n or n(t)= 2t + 10
It would be a linear function. I'm not sure about the domain.
Thank you so much!
Click here to see answer by solver91311(24713)

Question 1121924: does the relation define a function? if it does, state the domain of the function.
input - m, n, p, q
output - 2, 3, 2, 3

A. Yes; domain: (m, n, p, q)
B. Yes; domain: (2, 3, 2, 3)
C. Yes; domain: (2, 3,)
D. No

Click here to see answer by ikleyn(52780)

Question 1122024: A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly income in terms of the weekly sales amount. Is this a function? How do you know? What is an appropriate domain?
Tried: W= 760+0.075x
Click here to see answer by josgarithmetic(39617)

Question 1122132: Hi,
I am in need of help with the following problem.
Does the following equation define y as a function of x?
xy + 4y = 6

Thank you!

Click here to see answer by ankor@dixie-net.com(22740)

Question 1122132: Hi,
I am in need of help with the following problem.
Does the following equation define y as a function of x?
xy + 4y = 6

Thank you!

Click here to see answer by greenestamps(13200)

Question 1122137: I would truly appreciate help with the following:
I am given the following coordinates (-5,-4),(-1,-4),(0,-4),(3,-4),(4,-4)
a. What is the x-intercept(s)? Type an integer using commas to separate answers.
b. What is the y-intercept(s)? Type an integer using commas to separate answers.
c. What is the missing function value indicated by the question mark
f(-5)+ f(3)=?
Click here to see answer by solver91311(24713)

Question 1122333: Two people are having a debate. One person believes fuel efficiency (miles per gallon of a car) is an example of a function. However, the other person does not believe it is an example of a function. Explain why each individual could be correct.
Click here to see answer by Boreal(15235)

Question 1122340: Given f(x)= 3x-5
Find the missing coordinates for the following:
(x,-6) and (12,y)
Click here to see answer by josgarithmetic(39617)

Question 1122475: Given the function defined by g(x)=-^2-2x-1, find g(3). Express numbers as integers or simplified fractions.
Click here to see answer by josgarithmetic(39617)

Question 1122475: Given the function defined by g(x)=-^2-2x-1, find g(3). Express numbers as integers or simplified fractions.
Click here to see answer by ikleyn(52780)

Question 1122522: a basketball team scored 5 runs in a game which was four more than 1/2 the runs scored by the opposing team. write a function that models this situation. I need help with this problem.
Click here to see answer by greenestamps(13200)

Question 1122581: I don't understand functions, I really need help.
17.) Let f(x)= 5x and g(x)=-2x-3. Find (f+g)(x), (f-g)(x), and (f/g)(x).

In exercises 19- 30, for each pair of functions, f and g, determine the domain of f+g.
19.) f(x)=3x+7, g(x)=9x+10
27.) f(x)= 8x/x-2, g(x)=6/2-x
29.) f(x)=x^2, g(x)=x^3

In exercises 31- 50, let f(x)=x^2+4x and g(x)=2-x. Find each of the following.

47.) The domain of f+g
49.) The domain of f/g
Click here to see answer by josgarithmetic(39617)

Question 1122576: Tony has $34.Tony is going to the fair.The total cost for the fair can be represented by the function C(x) = 2x + 5,where x is the number of rides Tony rides.Tony plans to ride 13 rides at the fair.Will Tony have enough money?If so,how much money will he have left over?If not,how much more make money will he need?
Click here to see answer by josgarithmetic(39617)

Question 1122716: find the derivative of the following function:
y=(2x+1/2x-1)^1/2
y=sin3t/(t+1)^1/2
Click here to see answer by Boreal(15235)

Question 1122715: find the derivative of the following function:
y=(2x-3)(x^3 -2)^1/3
Click here to see answer by Boreal(15235)

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