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

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Question 883759: Give the domain and range of the relation. Y=x^2+6
Click here to see answer by jim_thompson5910(35256)

Question 883891: The entire question reads: Given P(x)=x^2-5x, find and simplify P(a+h)-P(a)
Nothing else, no h denominator or anything. Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 883891: The entire question reads: Given P(x)=x^2-5x, find and simplify P(a+h)-P(a)
Nothing else, no h denominator or anything. Thanks!
Click here to see answer by Alan3354(69443)

Question 883943: Please help.
For f(x)=-3x^2 +5x-6, find (a) f(-2) (b)f(1/b)
Click here to see answer by jim_thompson5910(35256)

Question 883920: Find the domain and range of the function.
1.f(x)= 3sinx
2.f(x)= 2/x-1

Click here to see answer by lwsshak3(11628)

Question 585845: how to determine whether the equation defines y as a function of x. is it a function yes or no to the problem: x=y^2-6 and problem y=x^2+6
Click here to see answer by chimm(1)

Question 883864: X+y^3=27,determine whether is defines y as a function of x
Click here to see answer by Fombitz(32388)

Question 884013: In Fantasy Island an individual pays 10% tax on gross annual income not exceeding $200,000. For every dollar on the next $300,000 the tax is 15%. Any income in excess of this is taxed at 20 cents in the dollar.
Using T to represent annual tax liability and x gross annual income:
a. Determine the annual tax liability function T(x) for an income earner in Fantasy Island.
b. What is the tax liability of a person who earns a gross annual income of $350,000?
c. What is the tax liability of a person who earns a gross annual income of $500,000?

Click here to see answer by Theo(13342)

Question 884121: PLEASE HELP ME SOLVE THIS: If f(x)=x^2 and g(x)=square root (x), then (g o f(x)=?
Click here to see answer by jim_thompson5910(35256)

Question 884127: which of the following is not in range of f(x)= 7(x-2)^2
A. 300
B. 6
c. -3
D. 12
So my first idea was to plug in each number and then I realized that didn't help. I'm not really sure how to even start on this problem
Click here to see answer by jim_thompson5910(35256)

Question 884124: F(x)=square root of 25-x^2
Click here to see answer by Alan3354(69443)

Question 884118: 1.)f(x)=square root of 25-x^2
2.)f(x)= 3/x^2-2x-15
Click here to see answer by Alan3354(69443)

Question 884151: A spherical weather balloon is being inflated. The radius of the balloon is increasing at the rate of 9 cm per second. Express the surface area of the balloon as a function of time t (in seconds), Recall surface area of a sphere is 4 pi r^2.
I think my time function is 9t but I'm not sure how to do this problem. Please help

Click here to see answer by DrBeeee(684)

Question 884211: Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate
f + g, f/g
Click here to see answer by Edwin McCravy(20056)

Question 884213: Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate
f + g, f/g
Click here to see answer by Edwin McCravy(20056)

Question 884212: Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate
f + g, f/g
Click here to see answer by Edwin McCravy(20056)

Question 884125: F(x)=3/x^2-2x-15
Click here to see answer by Fombitz(32388)

Question 884304: Write a rule for the function with a range of 1 0 3 4
and a domain of 4 3 1 0
Click here to see answer by Edwin McCravy(20056)

Question 884268: y = 0.5 + 3x. What would be the starting point, and how does y change as x increases.
Click here to see answer by josgarithmetic(39618)

Question 884568: what is the equation of the line through (1,2) and (3,-1)
Click here to see answer by jim_thompson5910(35256)

Question 884565: If a stock price goes from $10 to $12 from january 1st to january 31st , and from $12 to $9 from february 1st to february 28th, is the price change from $10 to $9 a straight line?.
How can i use two pieces of lines to describe the price movements from the beginning of january to the end of february?.

Click here to see answer by Theo(13342)

Question 884576: what is the vertex of f(x) = x^2 -6x + 3
Click here to see answer by Theo(13342)

Question 884567: what is the vertex of f(x) = x^2 - 6x + 3
Click here to see answer by Fombitz(32388)

Question 884573: using points,straight lines,
Click here to see answer by richwmiller(17219)

Question 884579: Using points, straight lines, and possibly the curve of a parabola, construct a piece-wise function whose graph looks like a smiling face.
Click here to see answer by richwmiller(17219)

Question 884570: using points,straight lines
Click here to see answer by richwmiller(17219)

Question 884566: Using points,straight lines.
Click here to see answer by richwmiller(17219)

Question 884580: If a stock price goes from $10 to $12 from January 1st to January 31, and from $12 to $9 from February 1st to February 28th, is the price change from $10 to $9 a straight line?
How can I use two �pieces� of lines to describe the price movements from the beginning of January to the end of February?
Click here to see answer by richwmiller(17219)

Question 884575: If a stock price goes from $10 to $12 from January 1st to January 31st, and from $12 to $9 February 1st to February 28th, is the price change from $10 to $9 a straight line?.
How can i use two pieces of lines to describe the price movements from the beginning of January to the end of February.
Click here to see answer by rothauserc(4718)

Question 884795: (don't know if I have chosen the correct topic, but please help me.) How do I select the value of x that are solutions to F(x)=0, when F(x)=-5x+9x+3
Click here to see answer by rothauserc(4718)

Question 884905: i need to complete the table for each function 1. f(x)=x^2 2. g(x)=-2x^2
3. h(x)=1/4 x^2
The table(X) is the same for all three...
X: 0,+/- 1, +/- 2, +/- 3
Y:
Click here to see answer by Alan3354(69443)

Question 884917: If f(x)=sqrt x^2-1 and g(x)=sqrt x-1, which expression represents f(x)/g(x) for x>1?
Click here to see answer by jim_thompson5910(35256)

Question 884929: Hi for the given functions f and g find the composition.. f(x) =7x^2+5x; g(x)=3x find (fog)(x) your help is gladly appreciated... so far i hv f(g(x)) =f(3x)
Click here to see answer by Alan3354(69443)

Question 885005: If h(x) = 7 and h(x) = 4x - 10, find x.
Click here to see answer by Fombitz(32388)

Question 885070: Let f(x) = x+1 and g(x)= x^2 - x. Find and simplify the expression (f+g)(-2). Use the sume of the function which is (f+g)(x)=f(x)+g(x)
Click here to see answer by josgarithmetic(39618)

Question 885104: 9) Give the domain of h = {(�1, 4), (2, 7), (3, 7)} and tell if �h� is a function.
a.) {4, 7}, h is a function
b.) {4, 7}, h is not a function
c.) {�1, 2, 3}, h is not a function
d.) {�1, 2, 3}, h is a function
Click here to see answer by jim_thompson5910(35256)

Question 885256: Simplify 7x^2+12x-x^2-40x
Click here to see answer by jim_thompson5910(35256)

Question 885298: find dy/dx
x=t^2
y=square root of t^3
dx/dt= 2t
dy/dt=square root of 3t^2
dy/dx= square root of 3t^2/2t (which is wrong, why?)
x=t^2+5t
y=t/5
dx/dt=2t+5
dy/dt=t5^-1 =-5^-2t
dy/dx=(-5^-2)/(2t+5) which is of course, wrong again. please tutor, tell me what i am doing wrong!
thank you
Click here to see answer by josgarithmetic(39618)

Question 885328: Hi, I'm Nicolene,
I am having some trouble with a question that states: Show that f(x) = 1/(x-2) and f⁻�(x) = (2x+1)/x are inverses of each other by showing that
a) f(f⁻�(x)) = x
b) f⁻�(f(x)) = x
In part a) I got to f(f⁻�(x))= f((2x+1)/x) = 1/(2x+1/x)-2
I am stuck on finding the LCD of the fraction to get the equation to equal x. Can you please help me or explain how to get the LCD?

Click here to see answer by josgarithmetic(39618)

Question 885334: what is the range of (x^2-25)/(x+5)? please include the solution. thanks.
Click here to see answer by rothauserc(4718)

Question 885534: What are the zeroes of f(x) = x^3 + 5x^2 - 7x + 1?
Click here to see answer by Theo(13342)

Question 885590: Which relation is a function?
A.
(5, �2), (4, 6), (�3, �2), (0, 4)
B.
(�1, �2), (3, �5), (�1, �5), (2, �2)
C.
(4, 3), (3, 2), (�1, 5), (4, 0)
D.
(�4, �4), (3, �3), (�4, 4), (�3, 3)

Click here to see answer by jim_thompson5910(35256)

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