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

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Question 42694: Can you please tell me what value is excluded from the domain of this function: h(x)= (x+3)/(x+8)? Thanks!
Click here to see answer by rapaljer(4671)

Question 42694: Can you please tell me what value is excluded from the domain of this function: h(x)= (x+3)/(x+8)? Thanks!
Click here to see answer by Nate(3500)

Question 42695: Can you please tell me what values are excluded from the domain of this function: f(x)= 3x+2 ? Thanks!
Click here to see answer by Nate(3500)

Question 42696: Hi, can you please tell me what are the excluded values of the following function: (3-5x)/5 ? Thanks!
Click here to see answer by rapaljer(4671)

Question 42696: Hi, can you please tell me what are the excluded values of the following function: (3-5x)/5 ? Thanks!
Click here to see answer by Nate(3500)

Question 42697: Hello, what value is excluded from the domain of the function: 1/2(x)^2 ? Thanks!
Click here to see answer by astromathman(21)

Question 42719: Can someone please help me solve this problem:
For what value of k is f(g(x)) = g(f(x))?
f(x)=3x+k and g(x)=x-4/3
I think when k is found we inverse it but I am drawing a blank - please help
Click here to see answer by fractalier(6550)

Question 42718: y=square root of 25-x^2
Click here to see answer by JaimeLynn(1)

Question 42742: The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by Nate(3500)

Question 42972: A wire of length x is bent into the shape of a circle. Express the circumference C of the circle as a function of x.
Click here to see answer by Nate(3500)

Question 42972: A wire of length x is bent into the shape of a circle. Express the circumference C of the circle as a function of x.
Click here to see answer by aaaaaaaa(138)

Question 42969: The perimeter of a rectangle is 30 feet. Write the area of the rectangle as a function of the width, x.

Click here to see answer by Nate(3500)

Question 42969: The perimeter of a rectangle is 30 feet. Write the area of the rectangle as a function of the width, x.

Click here to see answer by aaaaaaaa(138)

Question 42967: Find the inverse of the function given by the ordered pairs below:
(5, -2) (7, -1) (8, 4) (9, 2) (3, 0)
a. (-5, 2) (-7, 1) (-8, -4) (-9, -2) (-3, 0)
b. (5, -2) (7, -1) (8, 4) (9, 2) (3, 0)
c. (-2, 5) (-1, 7) (4, 8) (2, 9) (0, 3)
d. (2, -5) (1, -7) (-4, -8) (-2, -9) (0, -3)
e. None of the others

Click here to see answer by Nate(3500)

Question 43158: Use your calculator to evaluate the function y = 0.78x+1 at the value x = 2.83. Give your answer rounded to two decimal places.
a. 0.39
b. 1.50
c. 1.00
d. 5.71
e. None of the others
Click here to see answer by aaaaaaaa(138)

Question 43155: Find the degree of the following polynomial function:
f(x) = 4(x + 3)(x- 2)2

a. 1
b. 2
c. 3
d. 4
e. None of the others
Click here to see answer by aaaaaaaa(138)

Question 43185: Find the range and horizontal asymptote of the exponential function y = 3^x - 1.
a. Range: (-1, inf)
Horizontal asymptote: y = -1

b. Range: (0, inf)
Horizontal asymptote: y = 0

c. Range: [0, inf)
Horizontal asymptote: y = 0

d. Range: All real numbers
Horizontal asymptote: None

e. None of the others

Click here to see answer by Nate(3500)

Question 43182: Find the domain and the y-intercept of the exponential function y = 2^(x-1).
a. Domain: All real numbers
y-intercept: (0, 1/2)

b. Domain: All positive numbers
y-intercept: (0, 1/2)

c. Domain: All real numbers
y-intercept: (1/2, 0)

d. Domain: All positive numbers
y-intercept: (0, 1)

e. None of the others

Click here to see answer by stanbon(75887)

Question 43181: Find the range and horizontal asymptote of the exponential function
y = 3^x - 1.
a. Range: [-1, inf)
Horizontal asymptote: y = -1

b. Range: (0, inf)
Horizontal asymptote: y = 0

c. Range: [0, inf)
Horizontal asymptote: y = 0

d. Range: All real numbers
Horizontal asymptote: None

e. None of the others

Click here to see answer by stanbon(75887)

Question 43157: Find all real zeros of the function given below.
f(x) = x3 - 8x - 3

a. rational zero at x = -3
irrational zeros at x = 5.23 and x = 0.76
b. rational zero at x = 3
irrational zeros at x = -0.38 and x = -2.62
c. rational zero at x = -3
irrational zeros at x = 2.62 and x = 0.38
d. rational zero at x = 3
irrational zeros at x = -0.76 and x = -5.23
e. None of the others

Click here to see answer by stanbon(75887)

Question 43192: List the potential rational zeros of the function below.
f(x) = 6x^4 + 2x^3 - 3x^2 + 2

a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2
b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3
c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2
d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6
e. None of the others

Click here to see answer by Nate(3500)

Question 43156: List the potential rational zeros of the function below.
f(x) = 6x4 + 2x3 - 3x2 + 2

a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2
b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3
c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2
d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6
e. None of the others

Click here to see answer by Nate(3500)

Question 43202: i need help on dis problem:what is the x-intercept for the function y=-3x+7
Click here to see answer by fractalier(6550)

Question 43200: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
c. d(x) = sqrt(2x2 + 1)
d. d(x) = sqrt(2) x + 1
e. None of the others
Click here to see answer by fractalier(6550)

Question 43153: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x.
a. d(x) = sqrt(2x2 + 2x + 1)
b. d(x) = 2x + 1
c. d(x) = sqrt(2x2 + 1)
d. d(x) = sqrt(2) x + 1
e. None of the others
Click here to see answer by fractalier(6550)

Question 43198: The price p and the quantity x sold of a certain product obey the demand equation
x = 200 - 10p.
Express the revenue function R as a function of the number of units sold, x.
a. R = -10p2 + 200p
b. R = x2
c. R = x2 - 190x
d. R = x2 + 20
e. None of the others
Click here to see answer by fractalier(6550)

Question 43197: The price p and the quantity x sold of a certain product obey the demand equation
x = 200 - 10p.
Express the revenue function R as a function of the number of units sold, x.
a. R = -10p2 + 200p
b. R = x2
c. R = x2 - 190x
d. R = x2 + 20
e. None of the others
Click here to see answer by fractalier(6550)

Question 43152: The price p and the quantity x sold of a certain product obey the demand equation
x = 200 - 10p.
Express the revenue function R as a function of the number of units sold, x.
a. R = -10p2 + 200p
b. R = x2
c. R = x2 - 190x
d. R = x2 + 20
e. None of the others
Click here to see answer by fractalier(6550)

Question 43257: given
F(x) = 2x -4
G(x) = 5 + x^2
find (F o G)(x)
Click here to see answer by venugopalramana(3286)

Question 43255: Given the points A(2,5) and B(0,-3) find:
the distance between A and B
the slope of the line through A and B
The slope of a line perpendicular to the line through A and B
Please help!
Click here to see answer by venugopalramana(3286)

Question 43256: given this:
F(x)= 2x - 4
G(x)= 5 + x^2
K(x) = 7
Find F(1) + G(-2) + K(0)
Click here to see answer by fractalier(6550)

Question 43154: The profit earned from manufacturing x widgets is .0001x3 - .21x2 + 135x - 2000 dollars. Other contraints dictate that at least 200 widegets but no more than 950 widgets be manufactured.
How many widgets should be produced to earn the maximum profit?
a. 950
b. 17400
c. 500
d. 25500
e. None of the others
Click here to see answer by venugopalramana(3286)

Question 42970: The price p and the quantity x sold of a certain product obey the demand equation
x = 200 - 10p.
Express the revenue function R as a function of the number of units sold, x.
Click here to see answer by fractalier(6550)

Question 43467: Evaluate each function and simplify where possible.
a. g(-1) if g(x) = -x^2 � x
b. g(x) + 3 if g(x) = x^2 + x
c. h(x � 1) if h(x) = 3x � 2
Click here to see answer by Nate(3500)

Question 43466: Find the domain of each function.
a. h(x)= x+3/x-5
b. SQRT x^2+7

Click here to see answer by Nate(3500)

Question 43507: If f(x) is an odd function and f(-3)=6,what is the value of f(6)? can you explain it for me thanks.
Click here to see answer by venugopalramana(3286)

Question 43507: If f(x) is an odd function and f(-3)=6,what is the value of f(6)? can you explain it for me thanks.
Click here to see answer by Nate(3500)

Question 43521: for the problem, f(x)=2x^3-15x^2+44x-39,i have to solve for f(x)=0 exactly,which i think is 1.5 but i can't fin the imaginary solutions.
Click here to see answer by Nate(3500)

Question 43607: What is the domain of...
y=3x+17?
Click here to see answer by stanbon(75887)

Question 43605: f(x) is an odd function,and i know that f(-3)=6,is it safe to say that f(6)can be all real numbers less than 6.
Click here to see answer by stanbon(75887)

Question 43605: f(x) is an odd function,and i know that f(-3)=6,is it safe to say that f(6)can be all real numbers less than 6.
Click here to see answer by venugopalramana(3286)

Question 44026: f(x)=2x + 1 and g(x)=2x(squared) + x
Determine the following:
#13 (f of g)(2)
Click here to see answer by Nate(3500)

Question 44184: hello! my name is daniela and i dont understand how to figure out
this question can u please help me? like i dont understand what steps to do (if that helps)
what is the range of the fuction f(x)=4x-3 when the domain is -1,0,3?
thank you very much :)
Click here to see answer by stanbon(75887)

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