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

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Question 1128228: 8^x=2^6
Click here to see answer by ikleyn(52781)

Question 1128227: Is f(x)=2x a function?
Click here to see answer by ikleyn(52781)

Question 1127489: x^2 −y^2 + mx + 5y − 6 = (ax + by +c)(dx + ey + f). Determine the values for a, b, c, d, e, f, and m.
Click here to see answer by Edwin McCravy(20055)

Question 1128464: Evaluate whether or not the following equation designates z as a function of s.

Click here to see answer by ankor@dixie-net.com(22740)

Question 1128457: Consider the function h = {(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1} and function k={(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)}.
Compute the following expression if it exists: (h/k)(-2)
What in the world is going on here!
Click here to see answer by greenestamps(13200)

Question 1128579: The expense, in dollars, to manufacture a asks of 100% Organic Guru Energy drink is , .
The price-demand function, in dollars per ask, is , .
Solve k(a)=0 and interpret.
Solve p(a)=0 and interpret.

Click here to see answer by ikleyn(52781)

Question 1128744: The graph of
f(x) = 1/ 3^- x is reflected about the y-axis and compressed vertically by a factor of 1/4.
What is the equation of the new function, g(x)?
*I thought the answer would be 1/4 (x-1/3^-x), assuming that the vertical compression variable goes outside of the parentheses and 1/3^x-3 goes inside the equation. This however was wrong. Can someone explain how setting up these types of equations should be done, especially for future references? Thanks.
Click here to see answer by josmiceli(19441)

Question 1128852: Consider the relations f={(1,2),(2,3),(3,3)},g={(1,0)(2,3),(3,2),(4,8)}
a) Determine if the given relations represents one to one functions, Give reason for your answer.
Click here to see answer by rapture1965(18)

Question 1129459: f(x)=2x^4+3x^2-x-12
Click here to see answer by ikleyn(52781)

Question 1129461: An insurance office has 65 employees if 26 of the employees have cellular phones find a the portion of the employees who have cellular phones and b. The portion of the employees who do not have cellular pho
nes
Click here to see answer by ikleyn(52781)

Question 1129505: The function f (x)= 90e ^ -0.4x+10 describes the percentage of information, f(x), that a particular person remembers x weeks after learning the information.
A. Substitute 0 for x and, without using a calculator, find the percentage of information remembered at the moment it is first learned. ?
B. Substitute 1 for x and find the percentage of information that is remembered after 1 week.?
C. Find the percentage of information that is remembered after 12 weeks.?
D. Find the percentage of information that is remembered after one year (52 weeks).?

ASAP please and thank you.

Click here to see answer by MathLover1(20849)

Question 1129576: The function N(x)= 40,000/1+20e^-1.5 describes the number of people, N(t), who become ill with a virus t weeks after its initial outbreak in a town with 40 comma 000 inhabitants. The horizontal asymptote in the graph indicates that there is a limit to the epidemic's growth. Complete parts (a) through (c) below.
a. How many people became ill with the virus when the epidemic began? (When the epidemic began, t=0.)
When the epidemic began, approximately 1905 people were ill with the virus.
(Round to the nearest person as needed.). I got the answer!
b. How many people were ill by the end of the second week?
By the end of the second week, approximately____________people were ill with the virus.
(Round to the nearest person as needed.)
ASAP Please and thank you!
Click here to see answer by Boreal(15235)

Question 1129635: Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞)
Click here to see answer by MathLover1(20849)

Question 1129676: If F(x)=ax^2 +bx+c and F(x+5)=x^2+9x-7, find the sum of a+b+c.
Click here to see answer by Alan3354(69443)

Question 1129676: If F(x)=ax^2 +bx+c and F(x+5)=x^2+9x-7, find the sum of a+b+c.
Click here to see answer by ikleyn(52781)

Question 1129507: The function Upper N(t)= 40,000/1 +30e ^-2.5t describes the number of people, N(t), who become ill with a virus t weeks after its initial outbreak in a town with 40,000 inhabitants. The horizontal asymptote in the graph indicates that there is a limit to the epidemic's growth. Complete parts (a) through (c) below.
a. How many people became ill with the virus when the epidemic began? (When the epidemic began, t=0.)
When the epidemic began, approximately________people were ill with the virus.
(Round to the nearest person as needed.)

ASAP please and thank you in advance
Click here to see answer by Boreal(15235)

Question 1130009: For the function f(t)=sqrt t , compute the difference quotient f(t+h)-f(t)/(t+h)-t, and rationalize the numerator so that the denominator is not zero when h approaching zero
Click here to see answer by solver91311(24713)

Question 1130286: Determine if the function exhibits damped oscillation. If so, determine the damping factor.
f(x)=5x sin 2x
Click here to see answer by MathLover1(20849)

Question 1130346: Find f(0.1) if
Fx= [x]
Fx= square root of x minus x squared
Click here to see answer by Alan3354(69443)

Question 1130617: In the study of calculus, the difference quotient f(a+h)-f(a)/h is often found and simplified. Find and simplify this quotient for the function f(x). Complete parts a through d.
f(x)=8/x
A. Find f(a+h).
f(a+h)=____________
B. Find f(a)
f(a)= _____________
C. Use steps a and b to find f(a+h)-f(a)/h
f(a+h)-f(a)/h = _______________ (do not simplify)
D. Simplify the result of step c.
f(a+h)-f(a)/h=_______________
Click here to see answer by stanbon(75887)

Question 1130713: Find the inverse function. g(x)= x-3/2x+5
Click here to see answer by josgarithmetic(39617)

Question 1130712: Find the translation of the function and domain and range. f(x)=3^x+4 -5
Click here to see answer by MathLover1(20849)

Question 1130854: Writte down domain of x-7/x
Click here to see answer by MathLover1(20849)

Question 1130934: Write a linear function f with f(4)=−3 and f(0)=−2.
Click here to see answer by josgarithmetic(39617)

Question 1131429: The equation -8x+y-4=-8x^2+5x defines y as a function of x. solve for y in terms of x and then replace y with the function notation f(x)
Click here to see answer by josgarithmetic(39617)

Question 1131460: Does the equation y=-7x+12 define as a function?

Click here to see answer by MathLover1(20849)

Question 1131473: Hi my name is Baylee and I really need help in math and I was wondering if you can help me with this problem. f[9]iff[x]=x+13 Thank you so much if you can help.
Click here to see answer by Alan3354(69443)

Question 1131828: If the function f: R → R such that f(x)= x^2 + 1. Is this function surjective? injective (one-to-one)? bijective? Explain.
Click here to see answer by MathLover1(20849)

Question 1131897: If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n>or=0
then f(2) is equal to?
Click here to see answer by greenestamps(13200)

Question 1131915: In a given relation, what domain value corresponds to the range value -2?
(-1,2) (-2,4) (2,5) (0,-2) (2,0)
Click here to see answer by ikleyn(52781)

Question 1131911: Use limits to describe the behavior of the rational function near the indicated asymptote.
f(x) = (4x^2 - 3)/(x^2 + 1)
Describe the behavior of the function near its horizontal asymptote (the end behavior)
Click here to see answer by MathLover1(20849)

Question 1132016: Use the fact that 3i is a zero of f to find the remaining zeros: f(x)= x^4-6x^3+14x^2 -54X+45
Click here to see answer by josgarithmetic(39617)

Question 1132484: Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?
Click here to see answer by Alan3354(69443)

Question 1132498: What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Click here to see answer by Alan3354(69443)

Question 1132498: What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Click here to see answer by addingup(3677)

Question 1132501: An international food festival charges for admission and for each sample of food. Admission and 5 samples cost $9.75. Admission and 8 samples cost $12.75. Write a linear function rule to model the cost y for any number of samples x.
Click here to see answer by greenestamps(13200)

Question 1132483: The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle A. What is the sum in degree of the measures of the supplement and complement of angle A?
Click here to see answer by Edwin McCravy(20055)

Question 1132669: https://apod.nasa.gov/apod/astropix.html
Click here to see answer by ikleyn(52781)

Question 1132669: https://apod.nasa.gov/apod/astropix.html
Click here to see answer by Alan3354(69443)

Question 1132672: show that the mapping f:N->Q defined by f(n) = 1/n, where n is a natural number is one-one but not onto
Click here to see answer by rothauserc(4718)

Question 1132873: f(x)=-2x^2+x-4
Determine the following:
a) f(-2)+2f(-1)
b) f(-5)

Thanks

Click here to see answer by josgarithmetic(39617)

Question 1132873: f(x)=-2x^2+x-4
Determine the following:
a) f(-2)+2f(-1)
b) f(-5)

Thanks

Click here to see answer by ikleyn(52781)

Question 1132985: Find the largest domain of f: x-x^2+1
Click here to see answer by MathLover1(20849)

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