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

Tutors Answer Your Questions about Functions (FREE)

Question 34888: Can you help with functions involving square roots?
Click here to see answer by Prithwis(166)

Question 35056: Hello,
My name is Kristin and my time for the college placement exam is approaching and I need help!!!!!so please help
f(a)=2a-1 and g(a)=a^2, then g(f(a))=?

I believe this is setup like a^2(2a-1), but then I get confused after this point. I don't know whether I should multiply them by each other and then pull out the a^2, which would bring back to the initial equation. I am lost.
THANK YOU IN ADVANCE,
KRISTIN
Click here to see answer by venugopalramana(3286)

Question 35046: a) find the horizontal,vertical, and or slant asymptotes
b) find the x and y intercepts
f(x)=3x/x+1
I came up with -1 vert ---- 3 or 0 for horizontal ----and 0 as x intercept and could not figure out y
Of course we have to graph where do I get help for that? Please help
Click here to see answer by venugopalramana(3286)

Question 35070: please solve this n=324/36*3
Click here to see answer by Prithwis(166)

Question 35301: I messed up and didn't send the whole problem, Please help!!
In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph you have drawn, and also the domain and range of the entire function excluding unrealistic values.
Click here to see answer by rapaljer(4671)

Question 35480: It is approximately 480 miles from Los Angeles, California to San Francisco, Allowing for various traffic conditions, a driver can average approx. 60 miles/hr.
a Write a linear function that express the distance traveled, d, as a function of time, t.
Click here to see answer by rapaljer(4671)

Question 35503: Let f(x) = 2x^2 - 4x + 1 and g(x) = 3x + 2 and evaluate each of the following:
g(f)
f[g(0)]
f[g(1)]
Click here to see answer by Nate(3500)

Question 35508: For the following problems y varies inversely with the square of x.
If y is 4 when x is 5, find y when x is 2.

Click here to see answer by Nate(3500)

Question 35508: For the following problems y varies inversely with the square of x.
If y is 4 when x is 5, find y when x is 2.

Click here to see answer by narayaba(40)

Question 35508: For the following problems y varies inversely with the square of x.
If y is 4 when x is 5, find y when x is 2.

Click here to see answer by Prithwis(166)

Question 35507: For the following problems, y varies directly with x
If y is -3 when x is 5, find y when x is -10.
Click here to see answer by narayaba(40)

Question 35507: For the following problems, y varies directly with x
If y is -3 when x is 5, find y when x is -10.
Click here to see answer by Nate(3500)

Question 35507: For the following problems, y varies directly with x
If y is -3 when x is 5, find y when x is -10.
Click here to see answer by Prithwis(166)

Question 35501: If f=( (2,-1),(-3,0),(4,1/2),(pie,2) ) and g = ( (2,2),(-1,4),(0,0) ) find the following:
f(2) + g(2)
Click here to see answer by rapaljer(4671)

Question 35501: If f=( (2,-1),(-3,0),(4,1/2),(pie,2) ) and g = ( (2,2),(-1,4),(0,0) ) find the following:
f(2) + g(2)
Click here to see answer by Prithwis(166)

Question 35505: Let f(x) = 2x + 1 and g(x) = x^2 - 4 and find the following:
(fg)(x)
(g of f)(x)
Click here to see answer by Nate(3500)

Question 35505: Let f(x) = 2x + 1 and g(x) = x^2 - 4 and find the following:
(fg)(x)
(g of f)(x)
Click here to see answer by narayaba(40)

Question 35505: Let f(x) = 2x + 1 and g(x) = x^2 - 4 and find the following:
(fg)(x)
(g of f)(x)
Click here to see answer by rapaljer(4671)

Question 35569: f(x)= x^2-9/x+3
please help with graph and math if possible - i keep doing synthetic division and not getting an answer that works - thanks
Click here to see answer by Earlsdon(6294)

Question 35570: this is the problem
f(x)= -x/x^2+x-6
a find the horizontal, vertical, or slant asymptotes
b find the x and y intercepts
c graph the function - ijust submitted another problem similiar to this but forgot to write this in for what i need to do with the function - sorry and thanks for the help - :)
Click here to see answer by Earlsdon(6294)

Question 35544: I am doing a project on Step Functions. It has been very difficult to find information about step functions and what they're used for. If possible I was wondering if you could tell me some ways step functions are used in everyday life. (Things like careers, jobs, projects, etc.) This would help me tremendously.
Thanks---
Click here to see answer by rapaljer(4671)

Question 35632: Q= 5000P + 4,490,000 solve for P
Click here to see answer by rapaljer(4671)

Question 35631: Q= 5000P + 4,490,000 solve for P
Click here to see answer by rapaljer(4671)

Question 35633: Q= 3,500,000+10,500P SOLVE FOR P
Click here to see answer by rapaljer(4671)

Question 36010: At what points does the graph of f(x)=x^2+3x-18 intersect the x-axis?
Click here to see answer by venugopalramana(3286)

Question 36063: Determine whether the function F(x) = x^2-4, x<=0 is a one-to-one Function.
Click here to see answer by Prithwis(166)

Question 36127: find an equation fr the linear funtion f.
f(x)= -4 f(x)= -5
Click here to see answer by rapaljer(4671)

Question 26892: 9z+8=84.6 can you solve this simple question for me please
Click here to see answer by vidhyak(98)

Question 36401: Please Help Me!!! Which of the following is a factor of
s^2-10s+24
A)s-12
B)s-2
C)s-8
D)s-6
Please show me how you worked this out...thanks

Click here to see answer by Prithwis(166)

Question 36400: Please help me!!!!
I need to know the factfor of
32a^4b - 50b^3
A)4a^2 - 5b
B)4a - 5b^2
C)4a + 5b^2
D)4a^2 + 5b^2
Please show me how you figured this out...thanks

Click here to see answer by Prithwis(166)

Question 36402: Please help me...which of the following is a factor of
3x^2+2x-16
A)x-2
B)x+8
C)3x-8
D)3x-2
Please show me how you worked this out...thanks
Click here to see answer by Prithwis(166)

Question 36403: Can someone show me how to simplify these 2 questions
1) (2x)^2 * (3x^4)
A)6x^8
B)12x^6
C)6x^6
D)324x^6
and
2) (-3x / 2y^3)^-2
A) 4y^3 / 9x^2
B) -4y^6 / 9x^2
C) 4y^6 / 9x^2
D) -4y^6 / 6x^2
Please show me how you worked these out...it confuses me..thanks
Click here to see answer by rapaljer(4671)

Question 36215: Find y as a function of x if e^ y-c (y-c is the exponent) = x + 3
Click here to see answer by rapaljer(4671)

Question 36072: IF f(x) = -3X + 6, FIND F^-1(X)
Click here to see answer by venugopalramana(3286)

Question 36482: give the x and y intercepts of the line
0.03x-0.04y=12
Click here to see answer by checkley71(8403)

Question 36533: Can someone show me how to do this...please show your work :)
1/4x+1/4y=-1
x-y=8
A)(-6,2)
B)(4,-4)
C)(2,-6)
D)(6,-2)
and
solve for R:
T=rs+s
A)r=T-1
B)r=T-s/s
C)r=s-T/s
D)r=s-T/T
thanks>>>
Click here to see answer by vidhyak(98)

Question 36596: Hi
I have the following formular that need to change it to show what X equals. The formular is...
Y = ((X-F)/X) x 100
So far I have the following...
((X-F)/X) = Y/100
Please re-arrange the formular so I can solve for X.
Thanks
David
Click here to see answer by atif.muhammad(135)

Question 36517: find f^-1(x) if f(x) =2x-1
Click here to see answer by venugopalramana(3286)

Question 36481: f(x)=4x-1
g(x)=3-5x^2
find the compostion g of f(x)
Click here to see answer by venugopalramana(3286)

Question 36532: Please Help Me!!!!
I need to find the equation of the line passing through the point
(2,7) with a slope of m=2
A)y=1/2x-3/2
B)y=2x-12
C)y=1/2x+6
D)y=2x+3
Please show your work, so that I can learn how this is done...thanks
Click here to see answer by elima(1433)

Question 36785: Please explain functions, relations and arguments. I need guidance to answer the following questions:
1. Which of the following are functions? Explain reasoning for a, b, and c.
a. f(x) = 2 if x>1
f(x) = -1 otherwise
b. f(x) = 5 if x>0
f(x) = -5 if x<0
c. f(x) = 10/x

2. Suppose you have a lemonade stand, and when you charge $2 per cup of lemonad you sell 120 cups. But when you raise your price to $3 you only sell 60 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.

3. Take a look at the table below and write out an equation for f(x).

x -2 -1 0 1 2
f(x) -5 -2 1 4 7

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. How fast it takes you to get to work as a function of how fast you drive.
b. Probability of getting into a car accident as a function of how fast your drive.
c. Your height as a function of age (from age 0 to 100).

Click here to see answer by stanbon(75887)

Question 36840: for the funtion f(x)=-x^2+6x-8
(a) Find the line of symmetry
(b) state whether there is a minimum or a maximum and find the value
(c) Find the range
Click here to see answer by martinr(6)

Question 36867: what is the function for all these number
-6,-5
-4,-4
-2,-3
0,-2
2,-1
4,0
6,1
8,2
they all have to have the same function

Click here to see answer by martinr(6)

Question 36928: ONE NUMBER IS 4 TIMES ANOTHER. THE SUM OF THEIR RECIPROCALS IS 5? cAN SOMEONE HELP WITH THIS?
Click here to see answer by Paul(988)

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