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

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Question 110633: This is an absolute value function word problem. I do not need help with the graphing part. Here is the problem:
A car's speedometer reads 60 miles per hour. The error (E) in this measurement is E=|a-60| where (a) is the actual speed. Graph the function. For what value(s) of (a) will (E) be 2.5 miles per hour?
Again, I already know how to graph it. I do not understand how to figure out the value(s) of (a) that make (E) equal 2.5 miles per hour. Can you help me, please? Thank you so much. :)
Click here to see answer by scott8148(6628)

Question 110715: How would you solve this problem?
Given f(x)=x^2-4x+3 evaluate f(-1)
This is how I worked the problem but I don't think I did something right.
f(x)=x^2-4x+3
f(-1)=(-1)^2-4(-1)+3
=1-4(-1)+3
3+4+3
=10
answer:
(-1,10)
Click here to see answer by solver91311(24713)

Question 110754: I'm having problems with finding the domain for rational funtions.

(R(x)=2x^2-3)/4x

Click here to see answer by stanbon(75887)

Question 110828: Given f(x)=5x+2 and g(x)=2x+1 find (f-g)(-1) and (fg)(2)
Click here to see answer by edjones(8007)

Question 110840: Could someone please help me?
Given f(x)=x^2 and g(x)=3x-1, find (f*g)(2) and (g*f)(x)
Any help will be greatly appreciated.
Click here to see answer by stanbon(75887)

Question 110923: f(x)=
x^2-3x-10
---------
x^-6x+9

--- means divided by
find the domain
and
find the x-intercepts
Click here to see answer by jim_thompson5910(35256)

Question 111027: Let f(x)= -x^2+2x-3 and g(x)=-x^2+4x Find each of the following.
a. f(-2)
b. g(3)
c. g(-k)
d. g(3m)
e. g(k-5)
f. f(3-p)
I was able to get the following.....
a. 5(-2)-3
-10-3
=-13
b. -3^2+4(3)
-3^2+12
-9+12
=3
c. -k^2+4(-k)
=-k2+4k
d. -3m^2+4(3m)
-3^2+12m
=-9m2+12m
THe following is all that I could get for letter E but I dont think it is right can you please help? The answer is supposed to be -k^2+14k-45 but I cant get there
e. (-k-5)^2=4(k-5)
(k+5)^2+4(k-5)
(k+5)^2=4k+20

The following is all I could get for letter F. The answer is supposed to be 12-5p.
f. 5(3-p)-3
15-5p-3
10p-3
thank you for your assistance :)
Click here to see answer by stanbon(75887)

Question 111321: Directions: Solve each equation if the domain is {-2, -1, 1, 3, 4}
20. y = 4 - 5x
Click here to see answer by MathLover1(20850)

Question 111422: Indicate yes or no if the following are functions?
1. y=x^3
2. y=x^2-1
3. y=5
4. y=x^4
Click here to see answer by jim_thompson5910(35256)

Question 111691: Please help
If f(x) = 4x - 3 find the following f(-1)

Thanks
JMS
Click here to see answer by edjones(8007)

Question 111689: Please help,
Evaluate each function for the value specified.
f(x) = x^2 − 7x + 10; Find (a) f(0), (b) f(5), and (c) f(-2).
Thanks
JMS
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 111735: Crossword puzzle. The input of a function; a variable whose valu determines the value of the output is the ________ variable. It has 11 letters.
Click here to see answer by jim_thompson5910(35256)

Question 111761: Hi I am stumbled with this problem:
Find the inverse function g of the given function, and state the domain and range of g.
y = f(x) = (x+2)^3

Click here to see answer by jim_thompson5910(35256)

Question 111762: Hi, I am hoping someone can help me with this equation:
Let f(x) = 2x+5 and find a) f^-1 and b) 1/f(x)
Click here to see answer by nihat(10)

Question 111894: please help me solve this problem, i have been out of school for 28 years and have never did algebra. so iam thanking you in advance for your help.
i have to find the output for the negative in the frist row and the out put for non-negative in the second. find the indicated function values.
the problem
f(x) = {6x -1 if x < 0
7x +3 if x > 0, this is in the { with the top numbers.
Click here to see answer by Edwin McCravy(20056)

Question 112056: 14s+36=-6s
Click here to see answer by checkley71(8403)

Question 111950: Using the graph of y=-x^2+4x+5. what is the equation of the line of symmetry for this graph?
Click here to see answer by checkley71(8403)

Question 111951: If a rock is thrown upward with an initial velocity of 64 ft/second from the top of a 25-foot building.
1) write the hight (s) equation using this information.
2) how high is the rock after one second?
3) after how many seeconds will the graph reach maximum hight?
4) what is the maximum hight?
Click here to see answer by ankor@dixie-net.com(22740)

Question 112261: I have two questions from text book Beginning Algebra. Thank You in advance.
1. Given f(x)=5^2-3x+1, find f(-2)
2. Given f(x)=-5x-1, find f(a-1)
Click here to see answer by checkley71(8403)

Question 112415: Give the domain and range of the relation.
x y
5 11
6 13
0 0
-8 -15
Click here to see answer by uma(370)

Question 112445: f(x)=7x+2 find f(x) when x=0 and when x=1
Click here to see answer by checkley71(8403)

Question 112446: For the following function I am to determine wherether this function has a minimum or maximum value and I am to find the value. I have four problems like this and this is the first one. I am having a hard time getting started. Can you please help me with this problem so that i can learn how to compelete the rest. Thank you so much for all your help!!!!
Click here to see answer by solver91311(24713)

Question 112759: If f(x)=x^4-x+2, then f(-x)=
This is the problem and I cannot find the answer.
Click here to see answer by checkley71(8403)

Question 112907: Please help me find the answer: I am studying Graphs and Functions I am on a section called describing number patterns. I need help solving the following pattern, what are the next two numbers for this number pattern: 4,6,9,13 1/2,
(the last number is thirteen and a half).
Click here to see answer by checkley71(8403)

Question 112983: the sum of two consecutive integers is 49.find the two integers
Click here to see answer by veronica0626(5)

Question 113011: find the range and domain.
f(x)=1/x+2
Click here to see answer by jim_thompson5910(35256)

Question 113011: find the range and domain.
f(x)=1/x+2
Click here to see answer by MathLover1(20850)

Question 113115: I am not certain what kind of a problem this is so I apologize if this is in the wrong category.
I am trying to work on this problem and having difficulty.
I need to find the perimenter of a rectangle which is to be not greater than 300in., and the length must be 125 in. I have to find the maximum width of the rectangle.
Could anyone help me?
Thank you very much.
Tracy
Click here to see answer by stanbon(75887)

Question 113044: Please help.
Please rewrite the equation as a function of x.
-3x + 4y = 11
Thanks
JMS
Click here to see answer by ankor@dixie-net.com(22740)

Question 113498: Trying to find the domain and range for the function f(x)=eX
Both needs to be expressed in interval notation. The X following the (E) above should be typed as a exponent.

Click here to see answer by Fombitz(32388)

Question 113529: Determine the solution set to the inequality. Express your answer in set builder notation.
12x + 10 < 2(5x + 8)
Click here to see answer by kmcruz09(38)

Question 113575: Can someone please help me with this?
1/4 = 3-(2x-1/x+2)
Thank you in advance for your help
Click here to see answer by MathLover1(20850)

Question 113586: Someone please help, I am totally confused with the following.
a) show the steps you would take to solve the following
4-(x/x-2)=(-2/x-2)
b) What potential solution did you obtained? Explain why this is not a solution.
Thank you in advance for you help
Click here to see answer by stanbon(75887)

Question 113574: Can someone help me with this? I am really confused with the answers I keep coming up with.
If y= (sqrt of x) - 2, fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.
Thank you in adveance for your help.
Click here to see answer by checkley71(8403)

Question 113793: Although I know the answer to the following problem, I need to write it as a function and make a table. I hope you can help me. Here is the problem:
The temperature of a pool is 75 degrees. When the heater is on, the temperature of the pool rises 2 degrees every hour. What will be the temperature of the pool in 3 hours? Write a function and a table to solve this problem.
Click here to see answer by stanbon(75887)

Question 113806: Please help me with the following. Thank you in advance.
1)verify that f and g are inverses of each other:
f(x)= (8x/9)-(2/9)
g(x)= (9x/8)+(1/4)

Click here to see answer by stanbon(75887)

Question 113805: Please help me with the following. Thank you in advance.
1)state the domain and range of y=708/(x+3647)^2
Click here to see answer by stanbon(75887)

Question 113812: Find the domain and range of the inverse of the given function.
f(x)=x^2-7; x>/= 0

I believe the answer is.. Domain and range are all real numbers? Am I correct?
Click here to see answer by stanbon(75887)

Question 113886: Is there any one that knows how to work this problem?
Find the zeros of f.
f(x)= -x^(2)e^(-x)+ 2xe^(-x)
Click here to see answer by Edwin McCravy(20056)

Question 114024: Please help me with the following. Thank you very much.
Write a pieceswise function for f(x)=|24x-3|
Click here to see answer by Edwin McCravy(20056)

Question 114244: If f(x) =5x and g(x) = 2x+1, find (gof)(-1). Please work for me . I answered
-9.
Click here to see answer by MathLover1(20850)

Question 114293: I need help answering this homework question which I have learned from my textbook. I appreiciate any advice you can give me... The instructions say: Solve each equation if the domain is {-4, -2, 0, 2, 4}. Graph the solution set.
Please and Thank you.
Brianna

Click here to see answer by heidi(17)

Question 114417: Can some one help me state the domain for the following?
1.f(x)= square root x-8
2.h(x)=3x^3+5x-3
3.m(x)=5/x^2+9
4.l(x)=5x-4
5.g(x)=7x+4/x+4
Thank you
Click here to see answer by stanbon(75887)

Question 114242: Write the polynomial x^4-x^3-13x^2+x+12 in its fully factored form.
Thanks
Click here to see answer by scott8148(6628)

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