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Question 251441: Hey, I was looking for some help, it's really urgent. Thanks.
1. Given the function f(x)=sinx and g(x)= x. Determine the domain of the combined function y=f(x)+ g(x).
2. Given the function f(x)=2^x and g(x)= log(1-x). Determine the domain of the combined function y=f(x)g(x).
3. Given the function f(x)= cos(x) and g(x)= x^2-5x-6. Determine the domain of the combined function y=f(x)/g(x).
4. Given the function f(x)=3^x and g(x)= sinx. Determine the domain of the combined function y=f(g(x)).
5. Given the function f(x)=2^x and g(x)= logx. Determine the RANGE of the combined function y=f(x)g(x).
6. Given the function f(x)=x^2-9 and g(x)= x^2-5x+6. Determine the equation(s) of the vertical asymptote(s) of the y=f(x)/g(x)
Help would be much appreciated, Thanks so much.
Click here to see answer by richwmiller(17219)

Question 251762: f(-3), f(x)=-4.2x+6
Click here to see answer by jim_thompson5910(35256)

Question 251833: f(x)=3(4^x+1)-2
Click here to see answer by nyc_function(2741)

Question 252052: State the vertical asymptotes of the rational function: f(x) = x^2 + x - 12/x^2 - 3x - 10
Thanks!
Click here to see answer by solver91311(24713)

Question 252044: Graph the relation Y= 3x+5 with domain D(-3,-1,0,1,2)
Click here to see answer by solver91311(24713)

Question 252189: If f (x) = x / 1-x find the rule for f ( f (x)) .
Click here to see answer by palanisamy(496)

Question 252189: If f (x) = x / 1-x find the rule for f ( f (x)) .
Click here to see answer by drk(1908)

Question 252190: Suppose f and g are linear functions such that f (g(t )) = t for all real t .
Find the rule for f (x) if f (5) = 3 and g(2) = 3 .
Click here to see answer by drk(1908)

Question 252204: What is the range of the function in y = |2x - 3| - 5?
Click here to see answer by hokies(65)

Question 252206: The sum of an integer and the square of its additive inverse is 56. What is the number?
Click here to see answer by hokies(65)

Question 252205: For what values of x will the graph of 2x - 3y + 5 = 0 be above the x-axis?
Click here to see answer by Jaggkneio(1)

Question 252203: What is the vertex of the graph of y = |2x - 3| - 5?
The answer to the question is (-1, 4). Absolute value of 2x-3=5 is (4) and absolute value of 2x-3=-5 is (-1). If you graph the equation you will see that the graph v's at (-1, 4).
Click here to see answer by morganjd(5)

Question 252218: Let W be all the words in English. A relation L is defined from W to the positive integers that associates each word with the number of letters in the word. For example (L)the = 3 since the word the has three letters.
(a) What pairs in L have second coordinate 1?
(b) Is this relation a function? Explain your answer.
For (b) I do not believe it is, but that's just a wild guess from the little knowledge I know about this topic. Anyone's help on this would be greatly appreciated!
-P.M.
Click here to see answer by jim_thompson5910(35256)

Question 252220: What is the range of the function y = |2x - 3| - 5?
Click here to see answer by jim_thompson5910(35256)

Question 252222: In A = xy - (1 - z/4)r^2, solve for r in terms of the other variables, r a positive number.
Click here to see answer by jim_thompson5910(35256)

Question 252223: What is the slope of the line 2x + 3y + 3 = 0?
Click here to see answer by prateek(6)

Question 252224: Find the y intercept of the line through A(1, 2) and B(-3, -4)?
Click here to see answer by checkley77(12844)

Question 252221: What is the range of the function y = |5 - 2x| on -12 less than or equal to x less than or equal to 8?
Click here to see answer by drk(1908)

Question 252273: Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years?

Click here to see answer by rfer(16322)

Question 252274: solve:
Click here to see answer by nerdybill(7384)

Question 252300: What is the range of the function y = |5 - 2x| on -12 <= x <= 8?
Click here to see answer by stanbon(75887)

Question 252293: suppose f(x) = 2x -1 and g(x) is defined according to the table below. For what x value is f(g(x))
x 2 3 4 5 6 7 8 9
g(x) ‐3 1 1 2 ‐4 ‐1 0 9
a. 2 b. 4 c. 5 d. 7 e. 8
Click here to see answer by stanbon(75887)

Question 252297: What is the domain of the variable x in the equation y = (3x + 5)/(2x^2 + 5x - 3)?
Click here to see answer by drk(1908)

Question 252378: Which of the following is/are not functions? Why?
a. y = square root of (x^2 - 9)
b. x^2 + 3x + 2y + 5 = 0
c. 2x^2 - y^2 + 3x - 6 = 0
d. y = 2x^2 - 5
Click here to see answer by stanbon(75887)

Question 252416: Q:State the domain and range for each of the following relations.State whether or not each relation is a function.
{(1,9),(2,12),(3,15),(4,22)}
Click here to see answer by jim_thompson5910(35256)

Question 250901: 1.
f(0)=-1,f(3)=-10
2.
f(-4)=-5,f(2)=2
3.
F(-4)=-2,f(2)=7
Click here to see answer by drk(1908)

Question 252476: The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 10 days. Round your answer to the nearest thousandth.
Click here to see answer by drk(1908)

Question 252531: if f(x) = x + 4 and g(f(x)) = 2x + 1 then g(x)= ?
a 2x -7 b 8x+3 c 2x+9 d 2x^2 + 5x + 4 e cannot be determined
Click here to see answer by edjones(8007)

Question 252552: For all real numbers , the function satisfies
Find
Click here to see answer by Edwin McCravy(20056)

Question 252550: If f (x) = 2x^2 − 3x + 1, then f (x −3) = ? Express your answer as a polynomial in x.
Click here to see answer by stanbon(75887)

Question 252551: Let P and Q be polynomials such that P(x) and Q(P(Q(x))) have the same roots. If
the degree of P is 7, what is the degree of Q?
Click here to see answer by drk(1908)

Question 250797: how do slove f(g(-2)) if f(x)=2x-5 and g(x)=3x^2
Click here to see answer by drk(1908)

Question 252676: let f(x)=3x-6 and g(x)=x-2. find the g/f and state its domain.
Click here to see answer by drk(1908)

Question 252676: let f(x)=3x-6 and g(x)=x-2. find the g/f and state its domain.
Click here to see answer by Edwin McCravy(20056)

Question 250735: which of the following represents a linear function
x=2 5 8
y=10 16 22
x=1 3 5
y=1 9 25
x=0 2 4
y=0 2 6
x=0 1 2
y=0 1 2
Click here to see answer by Alan3354(69443)

Question 252793: What is the value of k if the line 3x - 2y = 1 is parallel to the line y - (2k + 1)x = 3?
Click here to see answer by Theo(13342)

Question 252796: Determine the domain of (1 + 3x^2)/[(x + 2)(4 - x^2)]
Click here to see answer by rapaljer(4671)

Question 252796: Determine the domain of (1 + 3x^2)/[(x + 2)(4 - x^2)]
Click here to see answer by JimboP1977(311)

Question 252795: Determine the domain of (x - 2)(X^2 - 4)/(1 - x^2)
Click here to see answer by JimboP1977(311)

Question 252795: Determine the domain of (x - 2)(X^2 - 4)/(1 - x^2)
Click here to see answer by rapaljer(4671)

Question 252781: Find (a) f+g, (b) f-g, (c) f*g, (d) f/g,
f(x)=x^2-4, g(x)=2+x
Click here to see answer by palanisamy(496)

Question 250317: Use inductive reasoning to describe the pattern. Then find the next two numbers in each pattern. 3, 3.3, 3.63, 3.993,...
Click here to see answer by drk(1908)

Question 252969: For what positive value of k is the graph of y = kx^2 + 6x + k +8 tangent to the x axis?
Click here to see answer by drk(1908)

Question 253089: 6x-3y = 18
domain is -2, -1, 1, 3, 4,
Click here to see answer by richwmiller(17219)

Question 253111: how do you solve domain and range problems?
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