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

Tutors Answer Your Questions about Functions (FREE)

Question 314854: If f(x) = 4x - 6, then f(3) = _____?
Click here to see answer by rapaljer(4671)

Question 315006: Here is my question,
In 1920 the record for a certain race was 45.5 sec, In 1990 it was 44.8 sec, Let R(t)= the record in the race and t= the number of years since 1920
A:Find a linear equation that fits the data
B:Use the function in (A) to predict the records in 2003 and 2006
C: Find the year that the record will be 44.54
This type of equation has me stumped
Thank you
Click here to see answer by scott8148(6628)

Question 315126: given the function k decribe k(x)=x-12
k(0)=
k(-20)=
k(4)=
K(2)=
K(c+2)=
please help
Click here to see answer by malaydassharma(59)

Question 315204: Please provide me the steps to answer g(x) = 9/(9-2x)
Click here to see answer by Fombitz(32388)

Question 315308: F(t)=50+6.50*t
Is the function but how do I figure out the domain and range for this function?
Thank you for your help.
Click here to see answer by user_dude2008(1862)

Question 315308: F(t)=50+6.50*t
Is the function but how do I figure out the domain and range for this function?
Thank you for your help.
Click here to see answer by malaydassharma(59)

Question 315321: Determine the inverse of the following function
f(x)= 2x^2-3x+14
Click here to see answer by checkley77(12844)

Question 315658: 3. The linear equation y=0.15 + 0.79 represents an estimate of the average cost of gas for year x starting in 1997 (�Consumer price index,� 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.

c.What does the y-intercept represent?
Click here to see answer by josmiceli(19441)

Question 315770: I do not know how to calculate this function.
Please help me to solve this problem
(sin5x)^2^x^-^3
thank you a million times
Click here to see answer by Alan3354(69443)

Question 316056: let g(x) = 1/x^2 and h(x)= 1/((sqrt x )- 1)
please determine the the following function
h(g(x))

Click here to see answer by jim_thompson5910(35256)

Question 316072: State whether the functions f and g are equal
f(x)= 2x^2 + x/x;g(x)=2x+1

Click here to see answer by jim_thompson5910(35256)

Question 316119: Find f(r+1)
f(x)=3/x-6
Teacher wasn't clear and I'm lost as to where to start. Please help!!!!
Click here to see answer by jim_thompson5910(35256)

Question 316118: Find the domain of the following function
f(x)=x+5/x^2-4
Can you please explain how to work this out!!
Click here to see answer by jim_thompson5910(35256)

Question 316180: A volume is defined by the function V(h)=h(h-6)(h-12). What is the maximum volume for the domain 0
Click here to see answer by Fombitz(32388)

Question 316300: How do I solve this problem.
Find f(-x)-f(x) for the given function.
f(x)=x^2-3x+7
Click here to see answer by jim_thompson5910(35256)

Question 316382: f(x)=5x^3+5x^2-x+C
f(3)=1
Find C
Click here to see answer by jim_thompson5910(35256)

Question 316369: What is the domain of the function g(x)=sqrt(x+1)
Click here to see answer by rapaljer(4671)

Question 316365: State the domain for the function: f(x) = x/(x + 1)

A. {x: all real numbers}
B. {x: all real numbers except 0}
C. {x: all real numbers except �1}
D. {x: all real numbers except 1}
Click here to see answer by moshiz08(60)

Question 316579: Use the graph on the link to find f(8)
http://www2.edmastery.com/li/itemAssets/NN.MAT.302507.1.PE/ppg/3.2%20and%203.30329061047/f1q21g1.gif
I really dont know how to do this but my teacher says that every problem on the homework is correct.
Click here to see answer by texttutoring(324)

Question 316526: c(p) = 3p + 24
When a certain caterer expects people to attend a reception,
he uses the formula above to determine , the number of cookies to bake.
If the caterer bakes cookies for a reception, then according to the formula,
how many people does he expect to attend?
I keep getting 72 but the answer is 83 and I'm lost as to how that was deciphered.
Click here to see answer by Fombitz(32388)

Question 316648: i am having a lot of trouble with my relations and functions assignment i have made the first two problems a succes after various tries, but the third is a little trickier will you please help... and show steps.(f(x)= (-11))
3. F(-11)= (-4+7(-11))/(5+5(-11)^2+5(-11))

Click here to see answer by nerdybill(7384)

Question 316895: Is this a function?
y = |x| + 5
Click here to see answer by solver91311(24713)

Question 317396: A domain is the set of numbers which are valid values for the independent variable. The range is the set of valid numbers for the dependent variable.

Click here to see answer by Fombitz(32388)

Question 317416: If f (4) = 3, what is the slope when f (6) = -2?
A: -5/2 B: -1/2 C: -2/5 D: 2/5 E: 2

Click here to see answer by Fombitz(32388)

Question 317620: find the equation of a line containing the points (-2,-4),(-8,-7).
I have tried to but i am not understanding. I do really good until I get to the end. I keep following the examples in my lesson but I don't understand how they are getting the answers they are getting
Click here to see answer by checkley77(12844)

Question 317672: determine the domain and range and sketch the graph of the relations defined by

Click here to see answer by texttutoring(324)

Question 317672: determine the domain and range and sketch the graph of the relations defined by

Click here to see answer by Edwin McCravy(20056)

Question 317958: f(x)=6x^2-15x+4
Click here to see answer by checkley77(12844)

Question 318023: simplify this polynomial function:f(x)=3x^2+2x-1 and g(x)=5x+7
g(f(3))
Click here to see answer by jim_thompson5910(35256)

Question 318104: For all parts of this question use the function f(x)=2x^2-x+1
a) Evaluate the following and simplify the expression

(i) f(a+1) (ii) f(3b)

This is what I have so far, I am not sure where to go from here:
f(a+1)=2(a+1)^2-(a+1)+1
= 2a^2+2^2-a-1+1

Any guidance would be appreciated...

Click here to see answer by jim_thompson5910(35256)

Question 318119: one more question I need help with: What is the domain of the function f(x)=2x^2-x+1
Can you explain how you got the domain? I'm lost on domains. I thought they were pretty much the x values...
So in a problem of f(a+1)= 2a^2+3a+1, using the function above, would the domain be 2? I am so lost here....
Click here to see answer by jim_thompson5910(35256)

Question 318326: state the domain of the function f(x)=3/x+4
Click here to see answer by solver91311(24713)

Question 318608: how do i Factor this problem 5z(2z+1)-2(2z+1).
Click here to see answer by jim_thompson5910(35256)

Question 312096: A city bus is stopped 330 feet from the center of an intersection. It sits for three seconds. Starting after the third second, it travels at a rate of 30 feet per second for five seconds and then speeds up to 45 feet per second. 4 seconds later, it crosses the center of the intersection and continues at the same speed.
Given that the moment the bus crosses though the center of the intersection is Moment Zero, so that all times before that are negative and all times after it are positive, describe the piecewise function that describes the bus�s distance from the center of the intersection for any time T, measured in seconds, from twelve seconds before the bus crossed the intersection to twelve seconds after.
Click here to see answer by johnwc3(1)

Question 319032: (√3+x)(√3-x) how to answer this one? can you give me a step by step?
Click here to see answer by Fombitz(32388)

Question 319087: 18 − 6 � 3 � 2 + 7
I believe this is an expression but there wasnt a category for it. Any help would be appreciated!!!
Click here to see answer by edjones(8007)

Question 319128: determine whether the equation defines y as a function of x:
y= sqrt(7x-2)
Click here to see answer by Fombitz(32388)

Question 319139: determine whether the given function is even, odd, or neither:
f(x)=x^3 + x^2 +4
Click here to see answer by Fombitz(32388)

Question 318102: Let s(t)=10t^2+5t+80 be the position, in miles, of a car driving on a straight road at time t, in hours. The car's velocity at any time t is given by function v(t)=20t+5
When the car is going 45 mph, it's position is s = ??? miles.

Click here to see answer by Fombitz(32388)

Question 319130: find the domain of the function:
h(x)= (x-1)/(x^3-9x)
Click here to see answer by solver91311(24713)

Question 319142: given functions f and g, determine the domain of f+g
f(x)=3x^2 -9 g(x)=2x^3 -10
Click here to see answer by nyc_function(2741)

Question 319132: find the domain of the function:
f(x)= sqrt(4-x)
Click here to see answer by solver91311(24713)

Question 319282: how did changing the constant from y=5x+8 to y=5x-2 affect the graph?
Click here to see answer by stanbon(75887)

Question 319342: This is a word problem.
The area of rectangle is 250 square inches. The length of the rectangle is 5 less than 3 times the width. Show the equation that will find the width and then use this equation to find the length and width or the rectangle.
Click here to see answer by vleith(2983)

Question 319396: Find an equation of the line satisfying the conditions given. Express your answers in standard form. Please explain.
Parallel to 3x - y = -5 and passing through (-1, 0)

Click here to see answer by Alan3354(69443)

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