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

Tutors Answer Your Questions about Functions (FREE)

Question 1174551: If f(x)=f(x-2)+x, and f(7)=11, find f(5).
Click here to see answer by ikleyn(52776)

Question 1174550: A function is defined by f(0)=0 and f(n)=f(n-1)+2n, for n > 0. Find f(4).
Click here to see answer by ikleyn(52776)

Question 1174549: If f(n+1)=2f(n)+1for every natural number n and f(1)=3, find f(11).

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Question 1174567: f(1) = x-f(
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Question 1174573: f(1) = x - f(f(x
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Question 1174585: Just a more teorical type of question!
I don't understand why 1/x is a function. When it is graphed, it is discontinuous. Has two areas separated by an asymptote.
Click here to see answer by math_helper(2461)

Question 1174607: Let: (f)x=x2+5x+6 (g)x=3x+7 (h)x=4x2
1. g∘h3
2. f∘g∘h0

Click here to see answer by MathLover1(20849)

Question 1174606: Let: (f)x=x2+5x+6 (g)x=3x+7 (h)x=4x2
1. g∘hx
2. f∘hx
3. h∘g5

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Question 1174779: F(x)=2x then what is f(-3),f(-1) and f(4)

Click here to see answer by Theo(13342)

Question 1174857: Determine whether the equation defines y as a function of x.
x2 + y = 25

Click here to see answer by Theo(13342)

Question 1174856: Determine whether the equation defines y as a function of x.
|x| - y = 6

Click here to see answer by ewatrrr(24785)

Question 1174854: Determine whether the equation defines y as a function of x.
x + y = 49
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Question 1174855: Determine whether the equation defines y as a function of x.
x + y3 = 1
Click here to see answer by MathLover1(20849)

Question 1175068: The function P(x) = 0.65x - 57 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find
P(1000) the profit the vendor makes from selling 1000 pretzels.
Click here to see answer by Solver92311(821)

Question 1175069: The function P(X) = 0.65x - 57 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find
P(1000) the profit the vendor makes from selling 1000 pretzels.
Click here to see answer by Solver92311(821)

Question 1175070: The function P(100) = 0.65x - 57 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find
P(1000) the profit the vendor makes from selling 1000 pretzels.
Click here to see answer by josgarithmetic(39616)

Question 1175146: Determine whether the relation represents a function. If it is a function, state the domain and range.
{(-4,11), (-3,4), (0,-5), (3,4), (5,20)}
A. function
domain: {11, 4, -5, 20}
range: {-4, -3, 0, 3, 5}
B. function
domain: {-4, -3, 0, 3, 5}
range: {11, 4, -5, 20}
C. not a function
Click here to see answer by MathLover1(20849)

Question 1175265: Use the table below to find the indicated function values.
x | f(x)
-8| -3
-4| 0
0 | 3
4 | 6
8 | 9
a. f(-8) = ?
b. f(8) = ?
c. For what value of x is f(x)=3? x= ?
Click here to see answer by ewatrrr(24785)

Question 1175283: Given the solutions 𝑥 = 3𝑖, 𝑥 = 1, and 𝑥 = 3/4 what are the factors?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1175283: Given the solutions 𝑥 = 3𝑖, 𝑥 = 1, and 𝑥 = 3/4 what are the factors?
Click here to see answer by MathTherapy(10551)

Question 1175283: Given the solutions 𝑥 = 3𝑖, 𝑥 = 1, and 𝑥 = 3/4 what are the factors?
Click here to see answer by greenestamps(13198)

Question 1175340: The formula for an investment worth with interest compounded annually is A = P(1 + i)^n, where P represents the initial investment, i is the interest rate, and A is the worth of the investment after n years.

a) Solve the formula for P. What was the initial investment of an investment worth $1000 that compounded 10% interest for 10 years?
b) Solve the formula for i. What is the interest rate of an investment whose worth went from $1000 to $1200 in 2 years?
c) Explain a method with which you could estimate how many years it would take for an investment to reach a certain worth at a certain interest rate.
d) Estimate how many years would it take an investment of $2100 at 20% interest to reach a worth of $5225?
Click here to see answer by Theo(13342)

Question 1175360: Determine whether the given function is linear. If the function is linear, express the function in the form
f(x) = ax + b.
(If the function is not linear, enter NOT LINEAR.)
F(x)=5+ 1/5x
F(x)=
Click here to see answer by ewatrrr(24785)

Question 1175362: Consider the parent function f(x)= √x. What parameters (a, k, d, c) affect the domain of g(x)= af[k(x-d)] + c? Explain.
Click here to see answer by ikleyn(52776)

Question 1175363: Give three reasons why the following graph is not continuous on the interval (0, 10).
link to graph: https://gyazo.com/f6f84ec569fbe0cfd54d3074c9035873
Click here to see answer by Boreal(15235)

Question 1175354: What is the range of the function given by the following graph?
link to graph: https://gyazo.com/8b2c0711459b5495245c6c5cd81d6d2e

Click here to see answer by Boreal(15235)

Question 1175361: The graph of y = x^2 is stretched vertically by a factor of 3, stretched horizontally by a factor of 5, and translated horizontally to the left by 12. Determine the equation that results from these transformations.
Click here to see answer by greenestamps(13198)

Question 1175371: Differentiate (x+y)/(x-y) with respect to x.
Click here to see answer by Edwin McCravy(20054)

Question 1175419: Determine tje concavity of the parabola representing the quadratic function,its y intercept, its x intercepts if any Exist and the coordinate of the vertex sketch the parabola. f(x) = 2xsquare-13 x + 20
Click here to see answer by ewatrrr(24785)

Question 1175984: A. Given the domain {−2, , −1,0,1,2}, determine the set of all possible ordered pairs, and the range for each relation.
1. 𝑦 = 2𝑥 + 1
2. 𝑥 + 𝑦 = 6
3. 𝑦 = 2𝑥2
4. 𝑦 = |𝑥|
5. 𝑦 = 2𝑥−1
2
I really do need your help please
Click here to see answer by ewatrrr(24785)

Question 1176079: An international long distance phone plan has a $5.99 monthly fee plus $.59 per minute for all calls to Canada. Express the formula using the function notation C(m) as the monthly charge for m minutes of long distance calls to Canada.
The function is C(m)= ___
The charge for 95 minutes of long distance calls to Canada is C (95)= $___
The charge for 159 minutes of long distance calls to Canada is C (159) = $___
Click here to see answer by CubeyThePenguin(3113)

Question 1138323: The temperature of air in a room that began at 55°F is increasing by 8°F per hour. Write a function that
describes the temperature of the air over time.
Click here to see answer by CubeyThePenguin(3113)

Question 1145906: what do you consider that a function is continuous.how to see if it exists
Click here to see answer by CubeyThePenguin(3113)

Question 1170093: f(x)=((1)/(x)) -2 inverse

Click here to see answer by CubeyThePenguin(3113)

Question 1165629: If f(x) = |x| + 9 and g(x) = - 6, which describes the value of (f + g)(x)?
Click here to see answer by CubeyThePenguin(3113)

Question 1148080: For the function below neatly solve for x. Show all work.
𝑓(𝑥) = 6𝑥^3 + 25𝑥^2 − 24𝑥 + 5
Use the Rational Root Test to list all the potential rational zeros
Click here to see answer by CubeyThePenguin(3113)

Question 1168244: The given function is f(x) = 2x^2 and g(x) = 3x+1
Find:
1.) f(x)^2
2.) f(x)^3-g(x)+g(x)^2
Click here to see answer by CubeyThePenguin(3113)

Question 1166788: Elaine is paying $799 for an internet service with 3GB monthly data and a connection fee $20 per hour in excess of the data. Represent her monthly bill as a function of connection time.

Click here to see answer by CubeyThePenguin(3113)

Question 1164602: Given f(x)= 2/x - 4 and g(x)= determine:
a) f(x+h)−f(x) / 4
(b)g(2−h)

Click here to see answer by CubeyThePenguin(3113)

Question 1176155: Evaluate the piecewise function at the given value of the independent variable.
f(x)=
{3x+4 if x<-1
{ 2x-4 if x≥-1
;
f(3)
Click here to see answer by CubeyThePenguin(3113)

Question 1166611: suppose the graph of f is given. describe how the graph of each function can be obtained from the graph of f. do not graph.
y = f(2x) - 1
Click here to see answer by CubeyThePenguin(3113)

Question 1171425: A skyrocket is shot into the air. It's altitude h in feet/seconds is given by the function h = -16t^2 + 128t.
a. In how many seconds does the skyrocket reach its maximum altitude?
b. What is the skyrocket's maximum height?

Click here to see answer by CubeyThePenguin(3113)

Question 1148103: g={(-6,-5),(2,-6),(8,-2),(9,8)}
h(x)=2x+13
Find the following
g^-1(-6)=
h^-1(x)=
(h°h^-1)(9)=
Click here to see answer by CubeyThePenguin(3113)

Question 1176313: Suppose that the relation H is defined as follows.
H = {(2,2),(7,0),(6,-3),(-8,7)}
Give the domain and range of H.
Write your answers using set notation.
Domain=
Range=

Click here to see answer by ikleyn(52776)

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