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

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Question 1103142: Anoke opened a savings account and deposited some money he received from his grandfather.
Click here to see answer by Shin123(626)

Question 1100932: f(1)=16 and f(n)=1/2*f(n-1)
Click here to see answer by Shin123(626)

Question 1099039: christiano ronaldo has a messy house
Click here to see answer by Shin123(626)

Question 1114953: The area of a playground is 168 𝑦𝑑2.
The width of the playground is 2 𝑦𝑑 longer than its length. Find the length and width of the playground.
Click here to see answer by ikleyn(52747)

Question 1117493: if f(x)=5x+7, find f(x+h)-f(x) all over h
Click here to see answer by josgarithmetic(39613)

Question 1117494: if f-1(x)=4x-2/3+x, find f(x)
Click here to see answer by josgarithmetic(39613)

Question 1117497: if f(x)=3x+7, find f(x+3)-f(x) all over 3
Click here to see answer by josgarithmetic(39613)

Question 1117495: if f(x)=1-2x, find f(f(2))
Click here to see answer by Theo(13342)

Question 1117496: if f(x)=5-3x divide by 2 and f-1(x)=5-2x divide by 3 show that f(f-1(x))=x
Click here to see answer by greenestamps(13195)

Question 1117592: Solve for x: ax+5x-4=10
Click here to see answer by Alan3354(69443)

Question 1117631: Find the domain of the function. (answer using interval notation.)

Click here to see answer by josgarithmetic(39613)

Question 1117635: Hi,
Please help me to find the extreme values of: , where the partial derivative of f with respect to x is zero and the partial derivative of f with respect to y is also zero.
Thank you very much.

Click here to see answer by ikleyn(52747)

Question 1117648: consider the function f(x)=4x^2-2x.
a) write the function in the form f(x)=a(x-p)^2 + q
b) sketch the graph of the function f(x) clearly indicating the coordinates of the vertex and the intercepts on the axes
c)what is the maximum or minimum value of f(x)
d)what is the range of f(x)
e)where does the function satisfy the condition f(x)<_0

Click here to see answer by solver91311(24713)

Question 1117633: Hello,
Kindly ask someone to help me with the following problem.
Study the function and represent it graphically:
Thank you very much!

Click here to see answer by solver91311(24713)

Question 1117703: does the function |x|-y=6 define y as a function of x
Click here to see answer by MathLover1(20849)

Question 1117773: Which value of x is not in the domain of f(x)= (1/sqrt(x))?
a) pi
b) 0
c) 1
d) all real values of x are in the domain of f(x)
Click here to see answer by rothauserc(4718)

Question 1117887: In a year a man smokes about 2.5kg of tobacco at 75p for 50g and 6000 cigarettes costing 31p for 20. What is his average weekly expenditure on smoking?
Click here to see answer by Boreal(15235)

Question 1117900: Determine the domain of the function. (Enter your answer using interval notation.)
V(x)=(15-x)(9-2x)x
*Note, I've tried (-infinity, infinity)
Click here to see answer by ikleyn(52747)

Question 1117638: Hello,
Please help me to find the solution to the following: Compute the definite integral from 3 to 5 of f(x) dx, where .
Many thanks.
Click here to see answer by rothauserc(4718)

Question 1118011: Suppose a function f has an inverse. If f(0) = −1 and f (−1) =2, find:
f^-1(f(0))
Click here to see answer by ikleyn(52747)

Question 1118012: Let f(x)=x^3 , g(x)=sqrt(x) , h(x)=x−4, and j(x)=2x. Express each function k as a composite of three of these four functions:
k(x)=sqrt((x−4)^3)
Click here to see answer by josgarithmetic(39613)

Question 1094464: What two numbers add to -5 and multiply to 6
Click here to see answer by Shin123(626)

Question 1092134: g (x)=x+2
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Question 1118138: The amount of carbon dioxide (in pounds per 15,000 cubic miles) released by a certain SUV depends on its fuel efficiency according to the formula
W = 30x^2 − 1950x + 44,000 (12 ≤ x ≤ 33)
where x is the fuel efficiency of an SUV in miles per gallon. According to the model, what is the fuel efficiency of the SUV with the least carbon dioxide pollution?
Click here to see answer by josgarithmetic(39613)

Question 1118254: Suppose that the functions f and g are defined as follows.
f(x)=x-4
g(x)=(x-1)(x+5)
Find all value(s) that are not in the domain (f/g)
Click here to see answer by Fombitz(32388)

Question 1118392: On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail and back. His average speed the first half of the ride was 2mph faster than his speed on the second half. 2mph faster than his speed on the second half. Find an expression for Ahmed's total travel time. If his average speed for the first half of the ride was 12mph, how long was Ahmed's bike ride?
Speed: x+2
Speed: X
Trial length: 15 miles
Click here to see answer by josgarithmetic(39613)

Question 1118394: What is the domain?
(ab^2-a^2b)/(ab) multiplied by (a^2b^2)/(a-b)
Click here to see answer by josgarithmetic(39613)

Question 1118872: given the functions f(x) = 1-3x^2 and g(x) = sqrtx-1, find the functions (f+g) , (f-g), (f*g), (f/g) and their corresponding domains.
Click here to see answer by josgarithmetic(39613)

Question 1118871: let F(x) = 2x^2 - 5 and G(x) = 1-x
find the function (F o G)(x)
Click here to see answer by josgarithmetic(39613)

Question 1118903: Each of the functions below is one-to-one. Find the inverse function for each of them.
(i) f(x) = 4x + 2
(ii) f(x) = 3x

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

Question 1118903: Each of the functions below is one-to-one. Find the inverse function for each of them.
(i) f(x) = 4x + 2
(ii) f(x) = 3x

Click here to see answer by greenestamps(13195)

Question 1118978: Find two numbers such that the smaller subtracted from the larger is 9 and the difference of the square of the larger subtracted from square of the smaller is 9.
Click here to see answer by josgarithmetic(39613)

Question 1118976: Find two numbers such that the smaller subtracted from the larger is 3 and the difference of the square of the larger subtracted from square of the smaller is 45.
Click here to see answer by josgarithmetic(39613)

Question 1119025: Yuri buys a ton of straw every year. The first time he bought straw, in Year 0, it cost $150.00. He notices the price is getting less expensive, at a rate of 1.5% per year.
Yuri sketches a graph of the situation.
Which statement is true?

The point (2, 147.75) is on the graph.
The graph decreases from left to right.
The graph increases from left to right.
The point (3, 141.20) is on the graph.
Click here to see answer by ikleyn(52747)

Question 1119083:
Click here to see answer by Shin123(626)

Question 1119103: If x^2 + y^2 =23xy, prove that log {(x+y)/5} = (1/2) (log x + log y)
Click here to see answer by greenestamps(13195)

Question 1119147: If n is a positive integer such that n!/(n-2)=756, find n
26
27
28
29
Click here to see answer by math_helper(2461)

Question 1119148: On a certain mcq test 5 points are awarded for each correct answer and 4 points are deducted for each incorrect or unanswered question. Zakia received a total score of 10 points on the test has more than 100 questions how many questions are on the test?
I.110 II.114 III. 119
A) II
B) I,II,III
C) I,II
D) I
Click here to see answer by greenestamps(13195)

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