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

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Question 1099900: The half-life of 89 grams of Kryptonite is 13 days. How many grams of Kryptonite is left after 26 days? Answer in decimal form. If the decimal does not end, round off to the nearest hundredths place.
Click here to see answer by ikleyn(52754)

Question 1099902: Every year, the cost of electricity increases by 4%. If electricity currently costs 30 pesos per megawatt, what will the per-megawatt cost be in 5 years? Round off your answer to the nearest whole number.
Click here to see answer by josmiceli(19441)

Question 1099954: What is the difference for the quotient for f(x)= 9x+6?
Click here to see answer by Fombitz(32388)

Question 1100023: If f(x)=x^2/5−5x^−2+2x^0, then what is the value of f(5)?
Click here to see answer by Boreal(15235)

Question 1100047: Ginelle is operating a tutorial center. She is operating at a loss of 15,000 pesos. Her tutorial fees are at 450 pesos per hour, and she has to pay a maintenance fee of 250 pesos per hour. What is the function that illustrates the flow of money of the tutorial center? Let x be the number of hours. Combine like terms. How many hours of tutorial service does her center have to operate in order to gain a profit of 15,000 pesos?
Click here to see answer by richwmiller(17219)

Question 1100070: Find an equation of variation where y varies jointly as x and the square of z, and where y=42 when x=10 and z=7.
Click here to see answer by Alan3354(69443)

Question 1100072: Given that f(x)=6x+11 and g(x)=x^3, find;(f*g)(-2)
Click here to see answer by Alan3354(69443)

Question 1100071: If ([[x^2]]) =121, what are the possible inputs for x?
Click here to see answer by Alan3354(69443)

Question 1100066: f(x)=2x+3 then find inverse of this
Click here to see answer by josgarithmetic(39613)

Question 1100066: f(x)=2x+3 then find inverse of this
Click here to see answer by greenestamps(13195)

Question 1100095: f(x) = 3x2 � 2x + 4 and g(x) = 5x2 + 6x � 8, find (f � g)(x).
Click here to see answer by Alan3354(69443)

Question 1100088: Which of the following relations is a function?
A.
(1, 4), (-2, 2), (9, 1), (-6, 2)
B.
(9, 1), (-2, 4), (1, 1), (9, 2)
C.
(1, 0), (-2, 3), (9, 1), (-2, 5)
D.
(1, 4), (-2, 6), (1, 3), (-6, 2)

Click here to see answer by Boreal(15235)

Question 1100069: Find and simplify the difference quotient for the following function.
f(x)=−5x^2+2x+8
Click here to see answer by josgarithmetic(39613)

Question 1100156: evaluate |1+2i/2+3i|
Click here to see answer by josgarithmetic(39613)

Question 1100156: evaluate |1+2i/2+3i|
Click here to see answer by ikleyn(52754)

Question 1100337: What is the domain of: x/(x-1)?
a)All reals
b)All complex numbers
c)All x <> 0
d)All x <> 1
(I think the answer is d but not sure)

Click here to see answer by ikleyn(52754)

Question 1100228: Can someone help me? Thank you.
Function f(x)= sin X is neither one to one nor onto function. Why?
Determine restrictions on the domain and co-domain so that f(x)=sin x is invertible.

Click here to see answer by Fombitz(32388)

Question 1100465:
Click here to see answer by Alan3354(69443)

Question 1100477: Nour drove from the Dead Sea up to Amman, and her altitude increased at a constant rate.
When she began driving, her altitude was 400 meters below sea level.
When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level.
Let A(t) denote Nour's altitude relative to sea level A (measured in meters) as a function of time t (measured in hours).
Write the function's formula.

Click here to see answer by Alan3354(69443)

Question 1100536: For the equation f(x)=x^2-2x-15
What are the solutions of f(x)=0?
Click here to see answer by Boreal(15235)

Question 1100535: For the equation f(x)=(-1/2)(x+3)^2+6 determine:
The vertex of the graph of f(x) & the axis of symmetry of the graph f(x)
Click here to see answer by Boreal(15235)

Question 1100654: For the equation x^4-6x^3+9x^2
A) use the coefficient test to determine the graph�s end behavior
B) Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.
C) Find the y-intercept.
D) Determine whether the graph has y-axis symmetry, origin symmetry, or neither.
E) Find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly.
Click here to see answer by ikleyn(52754)

Question 1100655: Two packages of meat have a combined weight of 5.75 kg.
If one package weighs 3.28 kg, write the function rule in function notation that represents the sentence.
Click here to see answer by Fombitz(32388)

Question 1100635: Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, y, as it relates to the number of miles driven, x, is shown in the graph below.
https://hintonps.owschools.com/media/g_alg01_ccss_2016/3/img_alg1u03l06_12.gif
Fill in the blanks so that the functions below, written to represent this situation, are correct. If necessary, answer in terms of a decimal, rounded to the nearest hundredth.
Click here to see answer by Boreal(15235)

Question 1100703: M varies directly as x and inversely as y. If x = 8 and y = 13, then M = 4. Write M as a function of x and y.
Click here to see answer by josgarithmetic(39613)

Question 1100700: Find all zeros of f(x)=x^3-8x^2+29x-52
Click here to see answer by josgarithmetic(39613)

Question 1100757: For x^4-6x^3+9x^2
Find a few additional points and graph the function. Use the maximum number of turning points to check whether it�s drawn correctly.
Click here to see answer by Alan3354(69443)

Question 1100829: Solve | 2x + 0.3 | >= -5
Click here to see answer by ikleyn(52754)

Question 1100840: For what value(s) of k will the relation not be a function? R = {(k�8.3+2.4k, −5), (−3/4k, 4)}

Click here to see answer by Boreal(15235)

Question 1100839: For what value(s) of k will the relation not be a function? B = {(0.5k-5, 10), (k+7, 4)}
Click here to see answer by jim_thompson5910(35256)

Question 1100830: For f(x)=3x-1 and g(x)= x^2+4
A) what is (f-g)(x)?
Subtract them.
================
B) what is (f + g)(2) ?
Add them
=============
C) what is (f times g)(x) ?
Multiply them.

Click here to see answer by Alan3354(69443)

Question 1100895: What is the distance between the points (-2,5) and (-1,-2)? Show your answer in both simplified radical form and in decimal form to two decimal places.
Click here to see answer by Alan3354(69443)

Question 1100902: For the function f(x)=3x-2 Find the inverse function f^1(x). Show that f(x) and f^1(x) are inverse functions by compositing ( in both directions)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1100932: f(1)=16 and f(n)=1/2*f(n-1)
Click here to see answer by ikleyn(52754)

Question 1100920: f(x)=1/2x^3-5
Find inverse, domain, and the range for f and f^-1
Thank you friends
Click here to see answer by stanbon(75887)

Question 1100073: A device used in golf to estimate the distance d, in yards, to a hole measures the size s, in inches, that the 8-ft pin appears to be in a viewfinder. The viewfinder is held 3 inches from the viewer's eye. Express the distance d as a function of s.
Click here to see answer by math_helper(2461)

Question 1100951: The area covered by a marsh, A, starts at 160 acres. Each year for n years 1/5 of the marsh vanishes. Write a formula for A = f(n).
I got 160(1/5)^n but for some reason it says its wrong
Click here to see answer by KMST(5328)

Question 1100950: For the problem f(x)=x-3 and g(x)=x^2 +1
A) what is (f∘g)(-1)?
B) what is (g∘f)(x)?
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