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

Tutors Answer Your Questions about Functions (FREE)

Question 743599: Please help me solve this equation: Given f(x)= x^2 + 7 and g(x)= x^2 - 7, find f of g(x)
Click here to see answer by tommyt3rd(5050)

Question 743702: Tom was given this function table to complete.
X: -3, -2, -1, 0, 1, 2, 3
Y: -2, 0, 2, 4, 6, 8, 10
What is the rule of this function?
Click here to see answer by stanbon(75887)

Question 744069: what is the range of y=x-_1_ if the domain is {-1,1,5}
2
Click here to see answer by solver91311(24713)

Question 744597: Here are some real life examples for you. Can you determine whether or not each one is a function? Explain your reasoning.
* the relationship between the amount of a water bill and the amount of water used.
* the relationship between the average score on a standardized test an individual student's score.
* the relationship between the color of a person's eyes and the color of that person's parents' eyes.
* the relationship between a person's height and that person's weight.
Click here to see answer by lynnlo(4176)

Question 744604: Which of the following relations is a function?

A.(2, 6), (3, 9), (4, 2), (3, 6)
B.(2, 8), (3, 6), (2, 4), (0, 2)
C.(3, -2), (4, 7), (-2, 5), (-4, 5)
D.(4, 7), (-2, 5), (1, 3), (-2, 1)

Click here to see answer by lynnlo(4176)

Question 744609: let f(x)=4x-2 and g(x)=3x^2+2x-3
find: this is a fraction when i put the slash key the number after the slash is the denominator f(x=h)-f(x)/h
i really don't know exactly what to do with this problem your help would be greatly appreciated thanks so much

Click here to see answer by lynnlo(4176)

Question 744627: integrate 3x^2-1/x^3
Click here to see answer by Cromlix(4381)

Question 744970: Find all zeros of the function.
h(x)=5x^4+28x^3-48x^2+8x+7
Thank you.
Click here to see answer by Alan3354(69443)

Question 745032: Suppose that the functions q and r are defined as follows:
q(x)=x^2+3
r(x)= sqrt x+5
Find the following:
(r o q)(1)=
(q o r)(1)=
Thank you!!
Click here to see answer by josgarithmetic(39613)

Question 745105: Use composition of functions to show that the functions
f(x)=4-5x and g(x)=4/5-1/5 x are inverse functions
Carefully show that (fog)(x)=x and show that (gof)(x)=x.

Click here to see answer by sachi(548)

Question 745111: What is the equation y = 0.25x � 0.75 in general form?
Select one:
a. �x + 4y � 3 = 0
b. �x + 4y + 3 = 0
c. x � 4y � 3 = 0
d. x � 4y + 3 = 0
Click here to see answer by sachi(548)

Question 745110: The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/sec from a cliff 50 ft above an ocean beach is given by the function s(t)=-16t^2+64t+50, where t is the time in seconds. Find the maximum height above the beach that the rock will attain.
Click here to see answer by josmiceli(19441)

Question 745147: How do I write a rule for each function?
x: f(x):
-1 -11
0 -5
1 1
2 7
Click here to see answer by stanbon(75887)

Question 745384: The equation of the revenue function, R(x).
Demand function: p = -2x + 2 700
Cost function: C(x) = 300x + 540 000

Click here to see answer by stanbon(75887)

Question 742612: The function f is defined by f(x)= x^2-2x
Find f(3a)
Click here to see answer by tommyt3rd(5050)

Question 746038: Gostaria de calcular a fun��o
f(x + 3) = x2 - 4 quanto vale f(f(5)).
obrigado,
Givaldo
Click here to see answer by Edwin McCravy(20054)

Question 746262: For the given function x^2+1, find f(x+h)-f(x)/h
Click here to see answer by nerdybill(7384)

Question 746428: Suppose that the relation is defined as follows.

{(5,5),(8,0),(6,-2),(-9,-8)}
Give the domain and range of G. Write your answers using set notation

Click here to see answer by tommyt3rd(5050)

Question 746783: Find the range of the function. f(x)=1 (divided by) square root of -x
Click here to see answer by MathLover1(20849)

Question 747682: (Hi... I'm Dannielle. 8th grade student taking Algebra1) I'm confused... on a preparation packet that's 10% of my grade... Lovely isn't it? Yet another thing my Algebra1 teacher never got the chance to teach. The question says: "A function of g is described : g(x)=(x-3)2 +6... The domain of g is all real numbers greater than 0. The range of g is all real numbers greater than or equal to - A.) 9, B.) 6, C.) 3, D.) -3... " Okay... correct me if I'm wrong, but does g(x) mean basically the same thing as the f(x) but the function is just labeled g instead of f? Yes? No? Sigh.. Okay. All I could think of doing was starting by factoring out the original equation but I just got x2-3x+15. I'm almost positive that I did that wrong and to be completely honest I'm not exactly sure that was what I was supposed to be doing to get the answer. Any suggestions or help would be greatly appreciated... (PS: I don't know if I'm asking this in the correct category so my apologies if this is the wrong one to be asking this is! )
Click here to see answer by stanbon(75887)

Question 747714: For the given function, find the following values.
g(t)=*fourth root*t-8=
g(633)=
g(2)=
Could really use help on this one. Very confused.
Thanks,
Cassie
Click here to see answer by lwsshak3(11628)

Question 747887: The fuel efficiency F for a particular car is given by F(x) = �0.018 x2 + 1.548 x + 4.2
What is the fuel efficiency if the car�s speed is 70 mph? i got 24.36, is this correct?
What speed will yield the maximum fuel efficiency?
Click here to see answer by Alan3354(69443)

Question 747953: Find the indicated values for the function.
g(x)= - sqrt 3x + 3
Click here to see answer by tommyt3rd(5050)

Question 747886: I have two math related questions in need of explanation. 1rst:x:6x+8-3x+3=x-1. 2nd: After a 20%discount and 6% tax, a guitar cost $530.00. What was the original price?
Click here to see answer by rfer(16322)

Question 748180: The function f(t) = -0.14t2 + 0.5t + 30.6 models the U.S. population in millions, ages 65 and older, where t represents years after 1990. The function g(t) = 0.56t2 + 12.36t + 105.7 models the total yearly cost of Medicare in billions of dollars, where t represents years after 1990.
(a) What does the function g/f represent?
(b) Find (g/f)(15).
Click here to see answer by lynnlo(4176)

Question 746918: find the inverse of f(x)=x^3 +3 find the domain and range of f(x)
Click here to see answer by tommyt3rd(5050)

Question 748426: How do I set up and solve this problem??
Let f(x) = 2x^2+x-3 and g(x)= x-1. Perform each function operation and then find the domain.

1. (f-g)(x)
Click here to see answer by DrBeeee(684)

Question 748646: State the equations of the verticaland horizontal asymptotes of g(x)= 8/x+5 +6
Click here to see answer by stanbon(75887)

Question 748754: Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
f(x) = (3x-5)(3x + 2)
Click here to see answer by stanbon(75887)

Question 742639: if disatance between two points (a+2,3)and (5,-1) is 5 units,find the value of a.
Click here to see answer by tommyt3rd(5050)

Question 750115: how to find the domain of n(x)=x+3/4
Click here to see answer by tommyt3rd(5050)

Question 750175: What is the domain of the function defined by the following equation? 1/x

Click here to see answer by FrankM(1040)

Question 750346: g[(-4)]
Click here to see answer by Alan3354(69443)

Question 750408: Hi can u tell me what does the statement mean "The function is always positive or a negative".
Awaiting for your kind reply.
Click here to see answer by rfer(16322)

Question 750692: A high school basketball team has a budget specifically for towels and extra basketballs. A towel costs $4 and a basketball costs $22. Assume the budget is $350 and that 30 towels are needed for the team for the entire season. Use a standard form equation to determine how many basketballs may be purchased by the team.

Click here to see answer by stanbon(75887)

Question 750755: What is the domain and range of the function f(x)= square root 8-2x?

Click here to see answer by timvanswearingen(106)

Question 750803: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range.
For example, if you were asked to graph y= x2 + 1 using transformations, you would show the graph of y = x2 and the graph shifted up 1 unit. Please do not show only the final graph.
��= −√��−6
Click here to see answer by stanbon(75887)

Question 750937: 297 over 16 mixed numeral
Click here to see answer by Alan3354(69443)

Question 750938: square root of 3x
times
square root of 51x
Please simplify
Thanks
Click here to see answer by Edwin McCravy(20054)

Question 751266: find the domain of x^3-6x^2+15x+5
Click here to see answer by jim_thompson5910(35256)

Question 751266: find the domain of x^3-6x^2+15x+5
Click here to see answer by tommyt3rd(5050)

Question 751302: I am having trouble with this problem. Can someone please show me the exact steps, because the steps shown in my math book are extremely confusing. Thank you.
Given f(x)=2x^2-3x+5
and g(x)=3x-2, find the composite function (f o g)(x)

Click here to see answer by stanbon(75887)

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