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

Tutors Answer Your Questions about Functions (FREE)

Question 981442: solve the following system of equations algebraically
3x-1=0
5x+2y=22
part 1: multiply one of the equations by a constant in order to solve by elimination. show the new system of equations below?
part 2: combine the two equations to eliminate one of the variables. show the result go this combination.
part 3: solve for the variable. what is the value?
part 4: substitute this value back into an equation to solve for other variable. write the solution to this system below
Click here to see answer by macston(5194)

Question 981953: Please Help. Let
Simplify
Answer: 4x+2h-2
But how? I have tried:

Click here to see answer by josgarithmetic(39618)

Question 981953: Please Help. Let
Simplify
Answer: 4x+2h-2
But how? I have tried:

Click here to see answer by Edwin McCravy(20056)

Question 981953: Please Help. Let
Simplify
Answer: 4x+2h-2
But how? I have tried:

Click here to see answer by AnlytcPhil(1806)

Question 982249: Given the function f(x) = -3ex + 1 , find f(x) if x = 2
Click here to see answer by macston(5194)

Question 982248: f(x) = -2ex , find f(x) if x = 3
Click here to see answer by macston(5194)

Question 982449: Find the domain of the function given by each equation.

f(x)= 5/x - 3

Here's what I did:
x - 3 = 0
x = 3
{x|x is a real number and x ≠ 3}
Is this right? I ask because I'm concern about the 5 on the numerator. My answer is the same as the books answer.
Click here to see answer by stanbon(75887)

Question 982569: Please help me find the domain of f(x)=(5)/(absolute value of x+3)
Click here to see answer by macston(5194)

Question 982708: Please help me with this problem
Determine if the following relation is a function. y=� sqrt(x)
Click here to see answer by Fombitz(32388)

Question 982841: Piecewise-Defined Functions
Find the indicated function values.
f(x)= x^2, if -10 ≤ x ≤ 10
f(-10)
here's my answer:
-10^2 = -100
book's answer is 100.
I think I need to include the parenthesis on -10? Let me know if I'm right or wrong.
Click here to see answer by Fombitz(32388)

Question 982855: Please help me solve this problem.
(f+h)(1)
(3,5),(2,4),(1,7) +(3,2),(4,3),(1,6)
Click here to see answer by Alan3354(69443)

Question 982779: Does the speed you are traveling at each time in a foot race represent a function? Why?

Click here to see answer by t0hierry(194)

Question 982936: Function & graph:
The two curves are the branches of the graph of y=1/x. The straight line intercepts the x-axis at point (-1,0) and the y-axis at point (0,2).it also cuts the curves at points A and B. Find the coordinates of point A and of point B.
Click here to see answer by josgarithmetic(39618)

Question 982998: For this problem, let f(x) = 3x^2 - 1 and g(x) = 2x + 5.
Find f(g(-4)) and g(f(-4)).
The books answer is 26;99. I'm not sure how to solve this. Please show me how it's done.
Click here to see answer by jim_thompson5910(35256)

Question 983001: Explain the formula:
y=3(x+5) (x-2)
Click here to see answer by solver91311(24713)

Question 983021: Does every function have an inverse function? If so, is the inverse function also a function? Explain using an example.
Click here to see answer by josgarithmetic(39618)

Question 983151: 2x+3y=19
3x-2y=8
Click here to see answer by Timnewman(323)

Question 983351: I don't understand domain and range. Could you explain it to me?
Click here to see answer by rothauserc(4718)

Question 983373: for the function f(x)=-1/2x+1, find the value of x for which f(x)=x
Click here to see answer by macston(5194)

Question 983509: Hello, I really need some help on this problem I was assigned. It's pretty challenging.. Thank you in advance!
You have a $50 coupon from the
manufacturer good for the purchase of a cell phone. The store
where you are purchasing your cell phone is offering a 20%
discount on all cell phones. Let x represent the regular price of
the cell phone.
(a) Suppose only the 20% discount applies. Find a function f
that models the purchase price of the cell phone as a function of the regular price x
(b) Suppose only the $50 coupon applies. Find a function g
that models the purchase price of the cell phone as a function
of the sticker price x.
(c) If you can use the coupon and the discount, then the purchase
price is either (f o g)x or (g o f)x , depending on the
order in which they are applied to the price. Find both (f o g)x and (g o f)x . Which composition gives the lower price?
Click here to see answer by macston(5194)

Question 983678: F(x) =3x+1,g(x)=2x_6
Fiend(f+g)(x)and(f+g)(5)
Click here to see answer by solver91311(24713)

Question 983801: One thing that been confusing me for awhile now is functions. Why is it set up like an input to output operation. My understanding is that f(x)=...... you put a value in for "x" say 3,5,7 and depending on the arrangement of variable this input value for x somehow translates into what y will wholly equal, but why? why does this work? and why not backwards why not plug in say the y-value in order to find the wholly x-value like f(y)=...
Is my understanding even correct? does plugging in the value for x give you the y-value, or the (x,y) on the coordinate graph?
Why is x the input and y the output and not the other way around?
please help

Click here to see answer by Timnewman(323)

Question 984042: What does the | represent in 4-|-6|= and what is answer
Click here to see answer by jim_thompson5910(35256)

Question 984233: Does each equation represent a function? Explain why Yes or No.
A)y=-4x
B)y=3
C)x=-2
D)y=2x+3
Click here to see answer by jim_thompson5910(35256)

Question 984296:
Click here to see answer by Fombitz(32388)

Question 984305: Find the domain of f(x)= { sqrt (x-5) if x>3
{ 1/(x+5) if x<0
The answer is supposed to be (-infinity, -5) U (-5,0) U [5,infinity)
Click here to see answer by Fombitz(32388)

Question 984303: Let f( x)be fourth degree polynomial with coefficient of x4 is 1 such that f(-1)=-1;f(2)=-4;
f(-3)=-9 and f(4)=-16 than that value of f(1) is

Click here to see answer by Fombitz(32388)

Question 984315: Find f(-1), f(0) and F(1) for the following function
f(x)=-3x
f(-1)=
f(0)=
f(1)=

Click here to see answer by Boreal(15235)

Question 984318: Find f(-1), f(0) and F(1) for the following function
f(x)=5x-1
f(-3)=
f(0)=
f(2)=

Click here to see answer by solver91311(24713)

Question 984340: Given the following function, find f(-3), F(0), and f(2)
F(x)=5x-1
F(-3)=
F(0)=
F(2)=

Click here to see answer by Fombitz(32388)

Question 984571: A cone with a diameter of 6 feet and a height of 5 feet sitting with the vertex up is to be partially filled with water through an opening at the vertex.what is the volume of the water in the cone in terms of the height of the water?
Click here to see answer by josgarithmetic(39618)

Question 984598: I have a function f (x) = 7/2x-1 and, if possible, am meant to
a) determine f(0), and
b) also simplify the quantity f(1+h)-f(1)
I do not really understand what about f(0) I am meant to determine, and also what the value 'h' is i the second part of the question.
help please?
Click here to see answer by Fombitz(32388)

Question 984622: Chapter 3
42. Given the following function find f(-1), f(0), f(3) for the following function
f(x)= 4x-2
f(-1)=
F(0)=
F(3)=

Click here to see answer by Cromlix(4381)

Question 984622: Chapter 3
42. Given the following function find f(-1), f(0), f(3) for the following function
f(x)= 4x-2
f(-1)=
F(0)=
F(3)=

Click here to see answer by Timnewman(323)

Question 984623: Chapter 3
42. Given the following function find f(-2), f(0), f(1) for the following function
f(x)= 3x-2
f(-2)=
F(0)=
F(1)=

Click here to see answer by Cromlix(4381)

Question 984608: draw the graph of function

f(x)=|x if x less than or equal to 0(x |x if o less than x less than or equal to 2(0 |x if x>2
Click here to see answer by Fombitz(32388)

Question 984663: The linear function is parallel to the line y= 4/5x-7 and passes through the point (-5,0). What is f(-6)?
Click here to see answer by Fombitz(32388)

Question 984605: find the domain and range of:
f(x)=
i)1-|x|
ii)x^2 -1 /x-1
iii)-|x|
iv)|x-1|
v)|x-2|/2-x
vi)root of(3-2x)
Click here to see answer by ikleyn(52797)

Question 984709: Write a general formula to describe variation.
M varies directly with the square of d and inversely with the square root of x; M=36 when d=4 and x=9
M =________
I would appreciate any assistance in this problem.
Click here to see answer by solver91311(24713)

Question 984607: find domain and range for the following.also draw its graph.
f(x)=
i)2x+3
ii)4-2x
iii)|x+2|
iv)|x-2|
v)x|x|

Click here to see answer by solver91311(24713)

Question 984759: Let f(x)=2x+3 and g(x)=x^2
Determine the formula for the following composition:
(g o g o g...o g)(x) where there are n copies of the function g
This is a complete mystery o me, not even sure where to start.
Click here to see answer by Fombitz(32388)

Question 984612: Let f(x)= 2x+3 and g(x^2)
Determine the formula for (g o g o g....o g)(x) where there are n copies of the function g.
What do I do? help please
Click here to see answer by Fombitz(32388)

Question 984743: Suppose that the functions g and h are defined for all real numbers x as follows.
g(x) = x-4
h(x) = 4x+2
Write the expressions for (g-h)(x) and (g�h)(x) and evaluate (g+h)(1).
Click here to see answer by Fombitz(32388)

Question 984925: 11. Given the following function, find (f-1), f(0), and f(4)
F(x)=-5x+1
F(-1)=
F(0)=
F(4)=

Click here to see answer by MathLover1(20850)

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