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

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Question 1004556: If f(x) = 3x^2 - 2x + 1 and g(x) = x - 1 then f(x)g(x) =
Click here to see answer by MathLover1(20850)

Question 1004710: If c(x)=4x-2 and d(x)=x^2+5x, what is c(d(x))?
Please help! I do not understand any of this!
Click here to see answer by jim_thompson5910(35256)

Question 1004735: which of the following is not a solution to the equation: F(x) = x^5 + 5x^3 - 36x?
a) 0
b) +/- 2
c) +/- 3
d) +/- 3i
Click here to see answer by MathLover1(20850)

Question 1004764: If u(x)=-2x^2+3 and v(x)= 1/x, what is the range of u(v(x))?
The answer needs to be written in parenthaseis and I have no idea how to do that. My best guess for an answer would be (-infinity, +infinity)
Please help!!!!!
Click here to see answer by stanbon(75887)

Question 1004775: The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except �3. Which of the following describes the domain of g(f(x))?
I am lost...
Click here to see answer by josgarithmetic(39618)

Question 1004802: Find the completely factored of:
f(x)=2x^4-x^3-13x^2-6x if (x+2) is one of the factors
Click here to see answer by josgarithmetic(39618)

Question 1004778: Please help me! This entire lesson confuses me!
if m(x)=x+5/+-1 and n(x) = x � 3, which function has the same domain as m(n(x))?
Click here to see answer by Cromlix(4381)

Question 1004795: if f(x)=2x+5 and g(x)=3x^2-1, find each value.
14. f(b^2)
15. g(a+1)
16. f(0)+g(3)
17. f(n)+g(n)
Click here to see answer by Alan3354(69443)

Question 1005132: need your help in listing the steps to find the inc=verse function of f(x)81x^2-1 Thank You

Click here to see answer by rothauserc(4718)

Question 1005135: If L is a line perpendicular to 2y-3x=1, then the sum of the slopes of the two lines is:
A) 5/6
B)3/2
c)2/3
D)-1
E)1/5

Click here to see answer by fractalier(6550)

Question 1005134: need your help in listing the steps to find the inverse function of
f(x)81x^2-1 g(x)=9x-1 Thank You

Click here to see answer by solver91311(24713)

Question 1005100: Q�−6: [5�1Marks] Let f(x)=2/3 x^3-5x^2+12x-7
Find f ′(x) and f ′′(x).
Find the intervals on which f (x) is increasing or decreasing.
Find the local maximum and minimum of f (x), if any.
Find the intervals on which the graph of f (x) is concave up or concave down.
Find the inflection points of f (x), if any.

Click here to see answer by Boreal(15235)

Question 1005247: If the line (b^2-1)x-(b+1)y=b is perpendicular to the line x+2y=1, then find the value of b.
Click here to see answer by josgarithmetic(39618)

Question 1005267: Find the equation of any line that you like but must be perpendicular to the line whose x-intercept is 1 and y-intercept is is 1/2.
Click here to see answer by Cromlix(4381)

Question 1005576: Let f(x)=7x^3-7x^2+4x-6. Find g(x) so that (f-g)(x)=4x^3+3x^2-9x-9
Click here to see answer by jim_thompson5910(35256)

Question 1005586: write the equation in vertex form
vertex (0,7) Point ( 1, -2)
Click here to see answer by josgarithmetic(39618)

Question 1005586: write the equation in vertex form
vertex (0,7) Point ( 1, -2)
Click here to see answer by MathTherapy(10552)

Question 1005678: Find the vertex of f(x)=x^2+5x+4 step by step.
Click here to see answer by Alan3354(69443)

Question 1005668: Josie is sitting on a Ferris wheel. She is exactly 35 feet from the center and is at the 3 o'clock position when the Ferris wheel begins moving.
Define a function f that determines Josie's vertical distance above the horizontal diameter (in feet) as a function of the arc length (in feet), s, swept out by the Ferris wheel as it moves counter-clockwise from the 3 o'clock position.
PLEASE HELP! I am not understanding this. Thanks so much!
Click here to see answer by Alan3354(69443)

Question 1005754: The Cooper family and the Jackson family each used their sprinklers last summer. The water output rate for the Cooper family's sprinkler was 30L per hour. The water output rate for the Jackson family's sprinkler was 25L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of 1425L. How long was each sprinkler used?
Click here to see answer by josgarithmetic(39618)

Question 1005778: Why is the domain of ln(14+x^2) ...(-inf,+inf)?
I thought with domain of ln we take what is inside and set that to zero, like so.
14+x^2 = 0
x^2 = -14
x = sqrt(-14)
x = DNE
so the domain doesn't exist.
Something I really dont get here
Please help
Thank you
Click here to see answer by josmiceli(19441)

Question 1005859: Find functions f and g so that the composition of f and g is H.
H(x) = |4 - 3x^2|

Click here to see answer by josgarithmetic(39618)

Question 1005886: it is given that g(x)＝2x-1 and h(x)＝g(2x-1)
Click here to see answer by Fombitz(32388)

Question 1005900: It is given that the axis of symmetry of the graph of the function y=x^2+kx+5＝-3. Find the value of k.
Click here to see answer by MathLover1(20850)

Question 1005918: it is given that the axis of symmetry of the graph of the function y=x^2+kx+5 is x＝-3. Find the value of k.
Click here to see answer by Fombitz(32388)

Question 1005858: The function f(x) = 300(0.5) x/60 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 170 years. Round to the nearest whole number.

Click here to see answer by fractalier(6550)

Question 1005898: Consider the quadratic function y＝kx(x-2)+3. If its optimum value is 4, find the value of k.
Click here to see answer by josgarithmetic(39618)

Question 1005516: Given
h(x) = 2x + 4
and
f(x) =
1/2
x + 9,
evaluate the composite function.
f[h(x)]

Click here to see answer by fractalier(6550)

Question 1005498: Let
.
How do I show (just using the definition of the derivation, which is the difference quotient), that f is differentiable in R\{0} and that
f'(x)=
for x as an element of R?
Thanks for your help!
Click here to see answer by Fombitz(32388)

Question 1005511: Given
f(x) = 7x − 9
and
g(x) = 8x − 1,
evaluate the composite function.
f[g(x)]

Click here to see answer by richard1234(7193)

Question 1006083: The solution set in interval notation of the inequality 16x-x^3≥0 is:
A) [-4, 4]
B) (-∞, -2]U[0, 4)
C) (-∞, 0]U[1, 4)
D) (-∞, 4]
E) (-∞, -4]U[0, 4]
Click here to see answer by josgarithmetic(39618)

Question 1006084: If b is the solution of the equasion: , then 3b+1=
A) 19
B) -8
C) -9
D) 18
E) 10
Click here to see answer by josgarithmetic(39618)

Question 1006088: If a and b are real numbers such that a < b, then (x-a)(x-b) is positive over the interval:
A) (a, b)
B) (-∞, b)
C) (-∞, a)U(b, ∞)
D) (-∞, 0)U(b, ∞)
E) (-∞, a]U[b,∞)
Click here to see answer by josgarithmetic(39618)

Question 1006093: The sum of the solutions of the equation (3x+2/x-2)+(1/x-1)=-1/x^2-3x+2
Click here to see answer by Fombitz(32388)

Question 1006091: If a is a solution of the equation:
7/4+(1/5)x-3/2=(4/5)x, then 12a+5=
A) 5/3
B) 65/12
C) 39/5
D) 10
E)-25/16

Click here to see answer by fractalier(6550)

Question 1006238: If the equation of the circle 4x^2+24x+4y^2-32y=44 can be written as (x-a)^2+(y-b)^2=r^2, then a+b+r=

A) 12
B) 13
C) -1
D) 7
E) 5
Click here to see answer by rothauserc(4718)

Question 1006242: The solution set of the equation consists of:
A) one negative rational number.
B) one positive integer and one negative rational number.
c) two irrational numbers.
D) two non real complex numbers.
E) two positive rational numbers.
Click here to see answer by Theo(13342)

Question 1006237: The solution set in interval notation of the inequality (4/x-1)>(3/x) is:
A) (-∞, 0)U(0, ∞)
B) (-3, 0)U(1, ∞)
C) (-∞, -3)U(0, 1)
D) (-∞, -3)
E) (0,1)
Click here to see answer by MathLover1(20850)

Question 1006239: The difference between two numbers is 7. If the greater number is 3 less than 2 times the smaller number, then the product of the numbers is equal to:
A) 170
B) 42
C) 85
D) 21
E) 27
Click here to see answer by Boreal(15235)

Question 1006387: f(x)=x^2+12
Click here to see answer by richard1234(7193)

Question 1006551: f(X)=x+8; g(x)=7x-3
find (f+g)(X)
Click here to see answer by stanbon(75887)

Question 1006551: f(X)=x+8; g(x)=7x-3
find (f+g)(X)
Click here to see answer by It is costly(175)

Question 1006537: Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) Thanks!
6, 7 + i
Click here to see answer by ikleyn(52794)

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