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

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Question 931058: Hello I could use some help on this question. Show work. I appreciate the help. Thank you!
What would f(g(x)) and g(f(x)) be if
f(x) = x^2 - 1
and
g(x) = x + 1

Click here to see answer by Fombitz(32388)

Question 931744: can not figure this out
Find functions f and g so that (fog)= H(x) and H(x)=√x^2 +1
Click here to see answer by ewatrrr(24785)

Question 931856: f(x) = x2 + 2x - 9
is it max or min
Click here to see answer by ewatrrr(24785)

Question 931860: Find the range of the function for the domain {�3, 1, 4.5}.
y = �x + 1
Find the range of the function for the domain {�3, 1, 4.5}.
f(x) = 2x
2

Click here to see answer by ewatrrr(24785)

Question 932055: Need help on this question. Kind of confused on what is being asked. Can you please show work on this to see how to do these problems. Thanks for your help!
Find the vertex of the function f(x) = -2x^2 - 12x +- 28. You�ll need to put it in the form of f(x)= a(x � h)^2 + k. Explain how you use this to find the vertex and how to graph the equation of the quadratic. What does �a� tell you? Describe the graph.
Click here to see answer by josgarithmetic(39618)

Question 932692: Find the vertex of the function f(x) = -2x^2 - 12x +- 28. You�ll need to put it in the form of f(x)= a(x � h)^2 + k. Explain how you use this to find the vertex and how to graph the equation of the quadratic. What does �a� tell you? Describe the graph. thanks.
Click here to see answer by MathLover1(20850)

Question 932905:
Find the fifth, ninth and hundredth term of the sequence.
-19, -22, -25, -28, ...
A(n) = -19 + (n - 1)(-3)
Click here to see answer by ewatrrr(24785)

Question 932908: Find the fifth, ninth and hundredth term of the sequence. Show your work for full credit!
4, 14, 24, 34, ...
A(n) = 4 + (n - 1)(10)
Click here to see answer by ewatrrr(24785)

Question 932974: Please help
express in standard form:
f(x) = -x^2+6x
Vertex?
x-intercept?
y-intercept?
Thank you
Click here to see answer by ewatrrr(24785)

Question 932980: The graph of a function F is a parabola that has the x-intercepts 7 and 13. The function has a minimum value of -12.
The function is
F(x) =
Thank you
Click here to see answer by ewatrrr(24785)

Question 932975: The graph of a function F is a parabola that has the x-intercepts 7 and 13. The function has a minimum value of -12.
The function is
F(x) =
Please explain
THANK YOU
Click here to see answer by josgarithmetic(39618)

Question 932976: Let g(x) = 11/x. Find the average rate of change, A, of g between x = -1 and x = a.
A =
Click here to see answer by Alan3354(69443)

Question 933031: I am confused how to solve this:
Let f(x) =
* The graph of function g is created by
* stretching the graph vertically by a factor of 40,
* then shifting the graph of f down 6 units,
* and finally shifting the graph right 5 units .
Find the function g.
g(x) =
I sadly don't understand any of this, what are they asking me to do exactly?
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 933029: How do I find the x intercept of this graph?

Click here to see answer by MathLover1(20850)

Question 933042: Hi I need help on my homework. Would you kindly please show me how to solve this problem. Thank you.

A radioactive element decays according to the function y=y0e^-0.0186T, where t is the time in years. If an initial sample contains y0=6 grams of the element, how many grams will be present after 50 years? What is the half-life of this element?

a.How many grams will be present after 50 years?
b.What is the half-life of this element?
My professor said that the answer in
A is 2.37 grams
B is 37.3 years
Would you please show me how to solve this problem. Thank you.
Click here to see answer by josgarithmetic(39618)

Question 933207: Given �(x) = x2 + 4x − 1 and g(x) = 3x − 4, find (g ○ g)(x).

Click here to see answer by josgarithmetic(39618)

Question 933263: What is the domain and range of x=5?
Click here to see answer by MathLover1(20850)

Question 933281: I need help with solving this problem. Here is the question: Chris has purchased 50 feet of fencing to build a rectangular pen along the side of a hay barn. Therefore, the barn can serve as one side of the pen.
a) Determine an algebraic function for the area of the pen.
b) Find the dimensions of the pen that will yield the maximum area.
Click here to see answer by lwsshak3(11628)

Question 933330: How to test for functions algebraically when the equation is y=|4-x|?
Click here to see answer by stanbon(75887)

Question 933404: Please help!
The graph of function h is created by shifting the graph of y=2^x to the left 3 units, then reflecting it in the x-axis, and finally shifting it up 8 units. Find h(x)
I think it's something on the order of: 2(x+3)+8 not sure about the 2. Unsure how to solve
Click here to see answer by MathLover1(20850)

Question 933421: Please help me solve theses problems: Let f(x)= x^2+2 and g(x)=x+1
a)f(2)=
b)g(x)=7
c)f(g(3))=
d)g(f(x))=
e) f^-1(x)=
Click here to see answer by Alan3354(69443)

Question 933421: Please help me solve theses problems: Let f(x)= x^2+2 and g(x)=x+1
a)f(2)=
b)g(x)=7
c)f(g(3))=
d)g(f(x))=
e) f^-1(x)=
Click here to see answer by MathLover1(20850)

Question 933402: Find the domain of the function K defined by
Write answer in interval form
Thanks!
Click here to see answer by josgarithmetic(39618)

Question 933452: Please explain how this works
I need to find the domain of the fucntion K defined by:

Must be in interval form
Thank you
Click here to see answer by josgarithmetic(39618)

Question 933520: Find the domain of the composite function f o g.
f(x)= x/x+3 ; g(x)=9/x+1
Click here to see answer by josgarithmetic(39618)

Question 933401: Let F(x) = 2x^2+4x-5. Find the average rate of change, A, or F from x=a to x=a+h. Don't forget to simplify?
Please help. I don't know how to go about solving
Thank you
Click here to see answer by richard1234(7193)

Question 933785: find f o g when f(x)=1/(x-15) and g(x)=13/x
Click here to see answer by stanbon(75887)

Question 933654: if the domain of the function y=f(x) is [0,1] then what is the domain of the function f(x+1/4) + f(x-1/4)?
Click here to see answer by richard1234(7193)

Question 933413: How to find the domain of f(x) = ln (5x-x^2)
Click here to see answer by Fombitz(32388)

Question 933859: if H and K are subgroups of a group G, then prove that HK is subgroup of G <=> HK=KH
Click here to see answer by richard1234(7193)

Question 934435: What's the value for x that makes the given equation true.

-48 = 2x - 54???

A theater needs to place seats in rows. The function, f(r), as shown below, can be used to determine the number of seats in each row, where r is the row number.

f(1) = 8
f(r) = f(r - 1) + 3

how do i Use the function to complete a table indicating the number of seats in each of the first four rows of the theater.

Row Number
Number of seats...

Consider a sequence whose first five terms are 6, 12, 24, 48, 96.

what are the function (with domain of all integers n≥1) that can be used to define and continue this sequence.

Click here to see answer by rothauserc(4718)

Question 934524: What is the output of the function f(p) = 3p � 2 when the input is 2
Click here to see answer by Alan3354(69443)

Question 934473: Jason is competing in a cycling contest. He starts in Cedar Creek, which is 245 miles from the finish. Jason averages 14 miles per hour. How far was Jason from the finish line after 12 hours? When Jason is 35 miles from the finish of the race, how long has he been cycling?
Click here to see answer by TimothyLamb(4379)

Question 934586: For the given functions f and g, find (f times g)(x)
f(x)=7x+5, g(x)=3x-4
Can you please show me the steps to how to find the answer? I don't understand this problem at all
Click here to see answer by jim_thompson5910(35256)

Question 934653: Let X={1,2,3,4}. Determine whether or not each relation below is a Function from X to X
(i) f={(2,3); (1,4); (2,1); (3,2);(4,4)}

(ii) g={(4,2); (3,1); (1,1)}

(iii) h={(2,1); (3,4); (1,4); (2,1); (4,4)}

Click here to see answer by jim_thompson5910(35256)

Question 934661: What is the range of f(x) with the function f(x) = |x + 1|
Click here to see answer by jim_thompson5910(35256)

Question 934738: Find the domain for the set of points {(-3,2), (5,1), (-4,8), (3,7), (0,6)}
Click here to see answer by MathLover1(20850)

Question 934760: sum 4/k=1k^2=

Click here to see answer by jim_thompson5910(35256)

Question 934781: Hello. I would like to know how to do this question and please if you could provided the work so I can see how to do these in the future. Thanks in advance for your help.
Solve for x. Describe the reason for each step you take.
27^(4x) = 9^(x + 1)
Click here to see answer by josgarithmetic(39618)

Question 934833: In the graph of the inequality X - 2y is less then or equal,to 4, which is a value for x on the inequality line and the x axis?
Click here to see answer by josgarithmetic(39618)

Question 934834: Which point on the axis satisfies the inequality y < x?
Click here to see answer by AnlytcPhil(1806)

Question 934993: If f(1) = 3 and f(n)=-2f(n-1)+1, then f(5)= ?
multiple choice options: -5,11, 21, 43
I tried plugging in f(1)=-2f(1-1)+1 but got 3= -2 (and they are obviously not equal).
I also tried just plugging in f(5) = -2f(5-1)+1 and got -7, but that was not among the answer choices.
Click here to see answer by Fombitz(32388)

Question 934304: For the given functions f and g find the following and state the domain of each result.

Click here to see answer by Fombitz(32388)

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