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

Tutors Answer Your Questions about Functions (FREE)

Question 631950: A toy rocket is launched upward from ground level with an initial velocity of 39 meters per second. Its height is a function of time, given by h = -4.9t^2+39t, where h represents the height in meters and t represents the time in seconds. What is the maximum height reached by the rocket and how long is it in flight?
Click here to see answer by lwsshak3(11628)

Question 631933: Please help me solve this function: Determine rather the function is even,od,or neither: f(x)= x^5 - x
Click here to see answer by lwsshak3(11628)

Question 632025: Hi, I need to find the derivatives for the following functions:
1. f(x)=4x^5+3x^4- 8x^2+x+3
2. g(t)=t^2/5+5/t^3
3. f(x)=1.5x^2+ 2x^1.5
4. g(x)=2√x+3/√x
Click here to see answer by nerdybill(7384)

Question 632062: Thank you to anyone who can help.
Give the Domain of the linear equation:
y=2/x+3

Click here to see answer by ewatrrr(24785)

Question 632029: Apply the chain rule to find the derivatives of the following functions:
a. g(x)=√(x^2+1)
b. f(x)=1/((4x^2-7^2))
Click here to see answer by ewatrrr(24785)

Question 632082: Need an example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be four integers between -12 and +5. I need to explain why my example does not model a function.
Click here to see answer by KMST(5328)

Question 631972: In exercise 16, find f(x) and g(x) so that the function can be described as y=f(g(x)).
16. y=(x^3+1)^2
Click here to see answer by Tatiana_Stebko(1539)

Question 632077: I need an example of a function using a set of at least 4 ordered pairs.
Click here to see answer by solver91311(24713)

Question 632063: Give the domain of the linear equation:
y=x+2/x
Click here to see answer by solver91311(24713)

Question 632317: ordered pairs f(a)=r, f(b)=p, f(c)=q, f(d)=r
Give domain and range of f
Click here to see answer by reviewermath(1029)

Question 632367: f(x) = x-8/x-7 find the domain of the rational function

Click here to see answer by ewatrrr(24785)

Question 632367: f(x) = x-8/x-7 find the domain of the rational function

Click here to see answer by rapaljer(4671)

Question 632462: Determine the intervals on which the function is decreasing constant
on what interval is the function decreasing ? link to question: http://oi47.tinypic.com/v7v9zm.jpg
i need to know the other 2 steps on what interval is the function decreasing and on what interveral is the function constant image link to question here 2nd part http://oi48.tinypic.com/s6ucjl.jpg
Click here to see answer by Alan3354(69443)

Question 632890: determine whether the equation defines y as a function of x. 8x^2 + 3y^2 = 1
Click here to see answer by stanbon(75887)

Question 633029: determine whether f(x)represents a polynomial function. If possible, Identify the degree and type of polynomial function.
f(x)= 2-8x
Click here to see answer by solver91311(24713)

Question 633198: What is the domain of the function?
8/2x-16=y
Click here to see answer by flame8855(424)

Question 633324: How do you find the domain and range from
Y=2x+1
Click here to see answer by radh(108)

Question 633336: for each piecewise function, find the specified function values
f(x)= 3 for x <= -2
(1/2)x + 6 for x > -2
f(-5),f(-2),f(0), f(2)
<= means less than or equal to. i wasnt sure how to do the sign
for the second equation i (think) that i make for example -5 for x. not sure on first one
thanks
Click here to see answer by KMST(5328)

Question 633374: state the domain of the rational function:
f(x)= x^2+3x-10/x^2-2x-8
Click here to see answer by jsmallt9(3758)

Question 633686: Given the function f(x)=4x^2-8x+14, calculate f(-4).
Click here to see answer by Maths68(1474)

Question 633656: What are the possible values of x if the distance between the points (x, 3) and (�7, �1) is square root 137?
Which answer is it?
a. {�18, 4}
b. {18, �4}
c. {�9, 11}
d. {9, �4}
Click here to see answer by richwmiller(17219)

Question 633699: if g(x)=2xsquared-36
solve this equation
g(x)=0
x=
x=
Click here to see answer by ewatrrr(24785)

Question 633667: Determine (f g)(x) and (g f )(x) for the pair of functions. Also specify the domain for (f g)(x) and (g f )(x).
f(x)= 1/x
g(x)= 1/(x-4)
Click here to see answer by math-vortex(648)

Question 633755: Determine whether the relation is a function.
{(-5, -4), (-2, 9), (-1, -2), (-1, 7)}
Determine whether the relation is a function.
{(-7, -1), (-7, 2), (-1, 8), (3, 3), (10, -7)}
Determine whether the relation is a function.
{(1, -3), (1, 1), (6, -8), (9, -3), (11, -3)}
Determine whether the relation is a function.
{(-6, -9), (-2, 1), (1, -1), (7, -7)}

Click here to see answer by Edwin McCravy(20056)

Question 633819: what is the range of the function f(x)=2/3x+5 when the domain is (-3,2,6)
Click here to see answer by ewatrrr(24785)

Question 633819: what is the range of the function f(x)=2/3x+5 when the domain is (-3,2,6)
Click here to see answer by solver91311(24713)

Question 633897: Find the slope of the line that goes through the given points.
(3, -5), (-9, -8)
Find the slope of the line that goes through the given points.
(-7, 6), (-7, -9)
Find the slope of the line that goes through the given points.
(-1, 4), (5, 4)
Find the slope of the line that goes through the given points.
(-2, -6), (-9, -17)
Find the slope of the line that goes through the given points.
(-8, 8), (-5, 2)

Click here to see answer by Alan3354(69443)

Question 633899: Find the slope of the line that goes through the given points.
(-3, -7), (9, -7)
Use the given conditions to write an equation for the line in point-slope form.
Slope = 4, passing through (-3, 7)
Use the given conditions to write an equation for the line in point-slope form.
Slope = 6/7, passing through (8, 7)

Click here to see answer by Alan3354(69443)

Question 633907: Solve the following exponential equation. Exact answers only.
π^1-8x = e^3x
Please show work. I'd really like to understand how it's done.

Click here to see answer by jim_thompson5910(35256)

Question 633906: Find the inverse of the following function. Find the domain, range, and asymptotes of each function.
f(x) = ln (x+1) +1

Click here to see answer by lynnlo(4176)

Question 633882: The domain of the function f is {x: -1 < x < 5}. If g(x) = 2f(-x), what is the domain of the function g?

i know that the answer is (-5 < x < 1) but I am curious about the steps necessary to get that answer
Click here to see answer by KMST(5328)

Question 633931: Give the domain for g(x) = √(x-4)^2-1. Explain/show your reasoning.
(The whole (x-4)^2-1 part is "under" the squareroot symbol)
Click here to see answer by lwsshak3(11628)

Question 633965: Find the domain of the function:
f(x) = 5-3x/2x^2-14x+20
Click here to see answer by lwsshak3(11628)

Question 633966: complete the table if the function f is even x values are -8,-4,4,8 and f(x) are -6,?,-2,?
Click here to see answer by jsmallt9(3758)

Question 634148: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27
Click here to see answer by richwmiller(17219)

Question 634169: Select any two integers between -12 & +12, which will become solutions to a system of two equations. Write two equations that have two integers as solutions. Solve your system of equations, using the addition and subtraction method, showing all 5 steps.
Click here to see answer by solver91311(24713)

Question 634325: please help.
question: solve:5(x-4)^(2/3)=80
i cant really remember how to solve i thought maybe you substitute the (2/3) in for x but i still get lost.
im so sorry if i put this in the wrong category and if i did please try to help me the best way you can thank you
Click here to see answer by lwsshak3(11628)

Question 634327: please help.
question: consider the parabola ( i know that on a graph thats the if you say smiley face on a graph) with the equation y+5=2(x+2)^2.
a. What is the vertex?
(i thought the vertex was the (x+2) but im completely not sure)
b. what are its x-intercepts?
(i was lost after that to find the x-intercept wouldnt i have to take everything from the right expect the x to find the intercept) please help me their is a third question but i know it says no graphs so i will not include c.)
Click here to see answer by ewatrrr(24785)

Question 634343: Is { (13,14), (12,5) , (16,7), (13, 14), (-2, 33), (13, 14 } a function?
and give an explanation.. thanks! :)
-apple
Click here to see answer by jim_thompson5910(35256)

Question 634411: I have to give an example of a growth function in y=a(b)^x and explain how I got it.
Click here to see answer by jim_thompson5910(35256)

Question 634411: I have to give an example of a growth function in y=a(b)^x and explain how I got it.
Click here to see answer by stanbon(75887)

Question 634610: Determine algebraically whether f(x)=x^3-x^2+1 is odd,even,neither.
Click here to see answer by sachi(548)

Question 634608: If f(x)=2x-1 and g(x)=x-2, find f(g(x)) and g(f(x).
Click here to see answer by sachi(548)

Question 634649: Find the slope of the line that goes through the given points.
(3, -5), (-9, -8)
Find the slope of the line that goes through the given points.
(-7, 6), (-7, -9)
Find the slope of the line that goes through the given points.
(-1, 4), (5, 4)
Find the slope of the line that goes through the given points.
(-2, -6), (-9, -17)
Find the slope of the line that goes through the given points.
(-8, 8), (-5, 2)

Click here to see answer by Alan3354(69443)

Question 634651: Find the slope of the line that goes through the given points.
(-3, -7), (9, -7)
Use the given conditions to write an equation for the line in point-slope form.
Slope = 4, passing through (-3, 7)
Use the given conditions to write an equation for the line in point-slope form.
Slope = 6/7 , passing through (8, 7)
Click here to see answer by jim_thompson5910(35256)

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