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

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Question 514310: Take a look at the following table:
X -2,-1,0,1,2
f(x)-5,-2,1,4,7
a. Write out an equation for f(x). Assume the function is linear.
b. What is the slope? Is it negative or positive? What information do we get from the slope?

Click here to see answer by stanbon(57377)

Question 514418: if f(x+1)=f(x)/x and f(3)=5, what is the value of f(7)?
Click here to see answer by solver91311(16897)

Question 514421: if f(x+1)=f(x)/x and f(3)=5, what is the value of f(7)?
Click here to see answer by solver91311(16897)

Question 514421: if f(x+1)=f(x)/x and f(3)=5, what is the value of f(7)?
Click here to see answer by josmiceli(9693)

Question 514444: if the domain is 1,3,5,7 and the range is 1,2,3,4 what is the rule of the function
Click here to see answer by stanbon(57377)

Question 514484: If f(x) = sqrt(x) and g(x) = x - 2 find (f og)(27)
Click here to see answer by stanbon(57377)

Question 514935: g(x)=(x+5)(x+1)
h(x)=3x-8
find g/h(-6) and then find all values that are not in the domain of g/h.
Click here to see answer by stanbon(57377)

Question 515059: Indicate whether the conjecture is true or false. If false, provide a counterexample.
If a/b > 0, then a > o and b > 0.

I say this is true.

I am not sure, however if I am wrong can you show an example to help me understand. Thank you for your time regarding this question.

Click here to see answer by stanbon(57377)

Question 515222: My question: Find the difference quotient for f(x) = 7x^2-9x+2
This is what I've come up with, I want to make sure I understand it and did it right!
f(x+h) = 7(x+h)^2 - 9(x+h) + 2
= 7(x+h)(x+h) - 9x-9h + 2
=7[x^2 + 2hx+h^2] - 9x-9h + 2
=7x^2 + 14hx+7h^2-9x-9h+2-(7x^2-9x+2)
=7x^2 + 14hx+7h^2-9x-9h+2-7x^2+9x-2/h
=14hx+7h^2-9h/h
=h(14x+7h-9)/h
=(14x+7h-9) Final Answer!
Wow, these wear me out, I'm praying I did it right or at least close!!
Thanks so much,
Tracy
Click here to see answer by jim_thompson5910(28595)

Question 515246: what is the domain of this function: F(x)=X*e^(x^2)
I know I can type it into my calculator but i would like to know how to find the domain as well.
Click here to see answer by jim_thompson5910(28595)

Question 515247: find the maximum value of the function
f(x)= 3+4x^2-x^4
hint: let t=x^2
Click here to see answer by drcole(72)

Question 515247: find the maximum value of the function
f(x)= 3+4x^2-x^4
hint: let t=x^2
Click here to see answer by richard1234(5390)

Question 515390: 1/√(8x+12) what is the domain of this function? Thank you so much!
Click here to see answer by Gogonati(809)

Question 515422: given the function of h described by h(x)=x+9, find each of the following:
h(0)
h(-18)
h(-20)
h(18)
h(x+19)
Click here to see answer by richard1234(5390)

Question 515505: what is the domain of g(x)=2/2-7
Click here to see answer by oberobic(2304)

Question 515533: Given that f(x)=6x^2+5 and g(x)=5x-8, find an expression for h(x) so that the domain of f/g/h is {x such that x is a real number and x cant be 8/5 and x cant be 9/4
Click here to see answer by stanbon(57377)

Question 515560: If f(x)=2x^2+3 and g(x)=x-5 find:
a. (f o g)(3)
b. (g o f)(3)
I am unsure as to where the (3) goes in this problem. I do know that the (3) will replace the x in the problem. My question is "How do I put a (3) in when I start with 2x^2?" This is how I started the problem:
(f o g)(3)=(f o g)*(3)=2*(x-5)^2+3. Would you please help me solve both of these problems step by step. Your guidance will be greatly appreciated.
Respectfully,
TLM

Click here to see answer by drcole(72)

Question 515569: What is the difference quotient of f(x)=x^4
Click here to see answer by drcole(72)

Question 515735: find domain of the function
g(x)=_7__
5-7x

Click here to see answer by oberobic(2304)

Question 515761: what is the answer to (3x+4)+2 if x is -1 ???
Click here to see answer by tracyc0912(40)

Question 515869: f(x) = 10x^2 + 3 find domain and range

Click here to see answer by drumwrrv(7)

Question 516156: Given: f(x) = (4x+6)/(6x-5).then f^-1(x)=?

Click here to see answer by stanbon(57377)

Question 516313: what is the domain and how do you find it? y = x-1/x-2 (the numerator has a square root over it)
Click here to see answer by nerdybill(6962)

Question 516389: For each function, find f(-2), f(-1/2), f(3), and f(7).
1. f(x)= -1/3x + 1
Click here to see answer by Maths68(1474)

Question 516551: i need to know how to work out f(k)=7(3-k)+3k-4
And i need to find the solutions.
F ( k)= - 19
F ( k) = 37
F (k) = - 43
Click here to see answer by stanbon(57377)

Question 516595: Find the domain and the range of the relation and determine wether it is a function.
{(10,3),(-9,-4),(1,-2),(4,-10)}
The domain is {}??
(Simplify your answers. Type an interger or a fraction. Use commas to seperate answers.)

can you explain to me how i solve this?? i have many more like it...
My email is amberdegen@yahoo.com
Click here to see answer by solver91311(16897)

Question 517060:
What is the domain of f(x) = 4/(x2 + x - 6)?

Click here to see answer by htmentor(789)

Question 517162: find the domain of the following function:
(1/x)+(2x/x^2-36)
Click here to see answer by stanbon(57377)

Question 517162: find the domain of the following function:
(1/x)+(2x/x^2-36)
Click here to see answer by solver91311(16897)

Question 517268: Determine whether the function f(x)=2x^4-x^2 is even, odd, or neither.
Click here to see answer by stanbon(57377)

Question 517276: If f(x) = -4x + 1, find the average rate of change from -2 to 1
Click here to see answer by richard1234(5390)

Question 517520: Okay, so my friend needs help and I haven't taken this class in awhile so this is kind of a refreshment.
Find the range for each equation if the domain is { -3,-1,0,2,3 }. Plug each number of the range into the equation - the answer will be the corresponding number in the domain "
This is one of the equeations
VVV
y=5x+1

Click here to see answer by scott8148(6628)

Question 517987: Find the domain of the following relation:
5x^2-10x+4=y
Click here to see answer by solver91311(16897)

Question 517988: what's the answer to 2 over 9 plus 2 over 9 times 1 over 4 in simplest form
Click here to see answer by rfer(12662)

Question 518185: Express the function h(x)=\frac{1}{x + 9} in the form f \circ g. If g(x)=x + 9, find the function f(x).
Click here to see answer by jim_thompson5910(28595)

Question 518451: find the domain and range from H(t)=2t^2+8t+14
Click here to see answer by solver91311(16897)

Question 519005: how do you solve -1=(5+x)/6
Click here to see answer by jessica43(140)

Question 519021: Please help me understand how to work this problem.
Evaluate each function at the given values of the independent variable and simplify.
f(x) = 4x + 5
a. f(6) b. f(x+1) c. f(-x)
Click here to see answer by jessica43(140)

Question 519148: If f(x) = 6x + 3and g(x) = 5x - 2, what restrictions are on the domain of (f/g)(x)?
Click here to see answer by stanbon(57377)

Question 519109: Express f(x)= -4x^2+40x-13 into f(x)=a(x-h)^2 + k and find the vertex of this quadratic function. I'm at a loss on where to begin and what to do, could someone more intelligent than I am, please give me an example to follow?
Thanks so much!!! :)
Click here to see answer by scott8148(6628)

Question 519190: Find the value of the function f(x) = (x^3 +9)/3x when x = - 3
Click here to see answer by unlockmath(1603)

Question 519189: Let f(x) = 2x - 4 and g(x) = 0.5x+2.
Find f(g(x))
Click here to see answer by bucky(2189)

Question 519218: Tell whether the following are symmetric to the Y-axis, X-axis, Origin, or neither.
y=\frac{1}{x}
x=\frac{1}{y}
y=\left|\frac{1}{x}\right|
y=\frac{2+x^4}{1+x^2}
Click here to see answer by Alan3354(30993)

Question 519363: Find the vertex: f(x)= -(x+6)^2-8
Solve: 5x^2=10
Find the vertex: f(x) = 5(x+5)^2+2
Find the vertex: f(x) = 3x^2-18x+8
Click here to see answer by stanbon(57377)

Question 519188: Find the inverse of the function: y = (3x + 9)/12
Click here to see answer by ankor@dixie-net.com(15657)

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