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

Tutors Answer Your Questions about Functions (FREE)

Question 55116: given f(x)=5x+7 and g(x)=x^2+7, find (g times f)(x)
Click here to see answer by rchill(405)

Question 55123: find the point on the positive y-axis that is a distance 5 from the point P(3,4)
Click here to see answer by rchill(405)

Question 54211: Complete:
If m/n = p/q,
What is true about the product of the means?
Click here to see answer by rchill(405)

Question 55109: find maximum value of y=-x+6x
Click here to see answer by Hook(36)

Question 55108: an object is projected upward from the top of a tower. its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. how many seconds to reach ground level?
Click here to see answer by ankor@dixie-net.com(22740)

Question 54782: Please help me solve this Equation : x arrow 2x=3
Click here to see answer by ms yonna(1)

Question 55383: If we translate the expression "six times the sum of a and b" into algebraic symbols, then we obtain:
Click here to see answer by stanbon(75887)

Question 55328: Simplify. Assume that no denominator equals zero.
(2t^2)^3/(2t^3)^2
Click here to see answer by Cintchr(481)

Question 55424: f(x)=-3x+2 and g(x)=2x+9: find (g*f)(x)
thank you
Click here to see answer by funmath(2933)

Question 55533: Rewrite each equation as a function of x.
-3x+4y+11
McGraw Hill 6th edtion, chapter 7.5 exercise #18
Thanks for your time!!!!
Click here to see answer by funmath(2933)

Question 55456: I have a pre test quiz question I have never seen before, I have tried to understand it and have asked if the question is written out right, which it was. The question is ......
rewrite the euation y = print_coeff (m,1) x print_const (b) as a funtion of x
I have worked it but not sure about my answer, the answer I have come up with so far is y = mx + b , x = ( y - b ) / m , but what about the 1? Am I close or not, please help, Thanks bunches
Click here to see answer by stanbon(75887)

Question 55709: Determine algebraically whether this function is odd, even, both, or neither:
f(x) = (3[x]) / (1-x^2)
(the [x] is an absolute value)
Click here to see answer by stanbon(75887)

Question 55710: For the function, find the average rate of change of f from 1 to x.
[f(x) - f(1)] / x-1
x does not equal 1.
Click here to see answer by stanbon(75887)

Question 55692: Factor out the greatest monomial factor from 3x^3 - 12x. Then factor the remaining binomial.
Click here to see answer by tutorcecilia(2152)

Question 55718: Given f(x) = 3x and g(x) = 3/x+1, find f/g(x) and state its domain.
Please help! I don't even know where to start!
Click here to see answer by stanbon(75887)

Question 55689: Solve: x^2 - x - 20 = 0
Click here to see answer by tutorcecilia(2152)

Question 55744: Can you explain the Composition of Functions
(g o f)(2)
(f o g)(x)
Click here to see answer by stanbon(75887)

Question 55759: 5-3x=-11 put it in ax+b=0
Click here to see answer by funmath(2933)

Question 55759: 5-3x=-11 put it in ax+b=0
Click here to see answer by aaaaaaaa(138)

Question 55729: Please solve so that Y is a function of X:
-3x + 8y = 24

Click here to see answer by checkley71(8403)

Question 55891: Composite Functions
Given f(x)=x^2-3x+4 ; g(x)=x+2
Find (f o g )(x)
(g o f )(2)
Click here to see answer by funmath(2933)

Question 55942: The Majik car rental company charges a flat fee of $21 per day and a mileage charge of $0.18 per mile. John rented an SUV for 6 days and he covered m miles during this period. Express the total charge as a function of m.
I started with, f(m)=0.18*m+21*6, I am not sure where to go after that. Unless I can set the problem equal to 0 and solve for m.
Any help would be greatly appreciated!
Click here to see answer by Hook(36)

Question 56023: f(x)=x^3 and g(x)=ax^3. what can you conclude about value of a??
I got 0
Click here to see answer by stanbon(75887)

Question 56052: f(x) = x2 - kx + 9, where k is a constant
find the set of values of k for which the equation f(x) = 0 has no real solutions
I know that b2 - 4ac<0 has no real solutions
Click here to see answer by venugopalramana(3286)

Question 55955: given f(x)=2-2x and g(x)=-2x+2
find f+g
Click here to see answer by stanbon(75887)

Question 56065: Can any one please help me!!!!
Evaluate the function for the value specified
f(x)=x^of 2 -7x+10; find (a)f(0 ),(b) f(5), and (c)f(-2)
Thank you so much for your help with this!
McGraw Hill 6th edition, chapter 7.5, exercise # 2
Click here to see answer by jenrobrody(19)

Question 56018: In a geometric sequence, a=120 and t4=19,965. Determine the common ratio r to the nearest tenth.
Click here to see answer by stanbon(75887)

Question 56093: Given f(x)= 2x-1 x<3
-2 x > or = 3
Evaluate f(1)
Evaluate f(3)
Evaluate f(5)

Click here to see answer by stanbon(75887)

Question 56078: This is a question on inverse functions.
Let y=f(x)=5x^3+8
The question wants the answer in the form y= cube root a(x)+b. where a and b are coefficients. I have come up with 1/5 for coeffcient a and I am thinking -(8/5) for coefficient b, but it does not seem to work.
Click here to see answer by rapaljer(4671)

Question 56141: If the function f is defined by f(x)=3x+4, then 2f(x)+4=?
Click here to see answer by funmath(2933)

Question 56187: Given f(x) = 5x2 � 3x + 1, find f(�2)
Click here to see answer by funmath(2933)

Question 56663: Find the function that is finally graphed after the folowing transformations are applied to the graph of y=sqroot of x.
1. Shift up 3 units
2. Reflect about the y-axis
3. Shift right 2 units
Click here to see answer by funmath(2933)

Question 56662: If f(x)=int(3x), find f(-1.4).
Click here to see answer by funmath(2933)

Question 56606: Find the domain and range of
square roott x^3-8x
Click here to see answer by venugopalramana(3286)

Question 56719: When working with domains and ranges and a question asks you to use a mapping diagram to represent the relation, how do you do that? I am unaware of how to make a 'mapping diagram'. Help!
Click here to see answer by funmath(2933)

Question 56718: if P(4,-5) is apoint on a graph of the function y=f(x), find the corresponding point onthe graph of y=2f(x-6)
Click here to see answer by stanbon(75887)

Question 56716: If f(x) =x^2 + 5, find f(a+h)-f(a)
Click here to see answer by stanbon(75887)

Question 56716: If f(x) =x^2 + 5, find f(a+h)-f(a)
Click here to see answer by funmath(2933)

Question 56698: Assume the cost of a company picnic is described by the function P(n)=(1/2)n^2-10n+80 where n represents the number of employees and family members attending the picnic and P (in dollars) represents the cost of the picnic. How many employees and guests in attendance produce a minimum cost? What is the minimum cost for this event?
Click here to see answer by ankor@dixie-net.com(22740)

Question 56864: 1) Solve the following equations.
a) sqrt x -2=1
Answer:
Show work in this space.

b) sqrt x� =27
Answer:
Show work in this space.

c) 3sqrt x2 =9
Answer:
Show work in this space.
thank you
Click here to see answer by Scriptor(36)

Question 56892: Good morning, I have been working on this problem..F(x)=sq rt of 2x-x/2 and x=t. I have this so far but i dont know if im headed in the right direction or not.
F(t)=sq rt of 2(t)-t/2
F(t)=sq rt of 2 times sq rt of t-t/2 and thats as far as i have gotten but i dont know if i am on the right track. I would appreciate your help very much. Thankyou and have a good day!!!
Click here to see answer by stanbon(75887)

Question 56925: I honestly have no idea how to answer this problem. It's not from a book, my teacher made it up.
f(x)=x+4
find (f(x))^2
I wrote down (x+4)^2 which equals x^2+16 just to have an answer. I'd rather have an example problem like this one so I could learn from that instead of just having a correct answer. Thank you!
Click here to see answer by stanbon(75887)

Question 56810: the degree 3 polynomial f(x) with real coefficients and leading coefficents 1, has 4 and 3+i among its roots. express f(x) as a product of linear and quadratic polynomials with real coefficents.
Click here to see answer by ankor@dixie-net.com(22740)

Question 56999: I have the answer I do not know how to get it. I have to rewrite the equation so that y is a function of x. The equation is 9-y=1.5x
Click here to see answer by rchill(405)

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