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

Tutors Answer Your Questions about Functions (FREE)

Question 255797: Please help me with this...
For all x=-4, which of the following is equivalent to the expression below?

x2 + 12x +32
-------------------
x+4
Click here to see answer by richwmiller(9143)

Question 255778: please help me with this, if 4/5+(3/10)=x+1/2, then x=
Click here to see answer by ankor@dixie-net.com(15657)

Question 255962: An open box is made from an 8-by-10-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. If x represents the side length of the squares, which of the following is a function giving the volume V(x) of the box in terms of x?
Click here to see answer by NRobinson(4)

Question 256029: State the domain of the following relation by clicking on the symbols to make the given answer correct.
{(x,y):y=x}
Domain {x: x R, x
Click here to see answer by drk(1908)

Question 256074: Please help me with this.
What is the slope of the line with the equation 2x+3y+6=0?
Click here to see answer by drk(1908)

Question 256075: Please help me with this
Point A (-4,1) is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB?
Click here to see answer by richwmiller(9143)

Question 256093: Please help me with this.
Listed below are 5 functions, each denoted g(x) and each involving a real number constant c>1. If f(x)=2x ( 2 exponent x), which of these 5 functions yields the greatest value for f(g(x)), for all x>1?
g(x)=cx
g(x)=c/x
g(x)=x/c
g(x)=x-c
g(x)=logcx
Click here to see answer by stanbon(57377)

Question 256094: please help me with this
If the function f satisfies the equation f(x+y)=f(x)+f(y) for every pair of real numbers x and y, what are the posible values of f(0)?
any real number
any positive real nuber
0 and 1 only
1 only
0 only
and why?
Click here to see answer by CharlesG2(828)

Question 256135: state the function? input x -3 0 3 6
output y 1 0 -1 -2
Click here to see answer by drk(1908)

Question 256123: what is the smallest positive value for x where y= sin 2x reaches its maximum?
Click here to see answer by drk(1908)

Question 256149: what is g-f(x) where f(x) is x+1 and g(x) is x^2-1
Click here to see answer by drk(1908)

Question 256171: given the domain{-1,0,2} Find the range values for the equation.
a. f(x)=-2x-4
-2(-1)-4
2+-4
-2

b. -2(0)-4
0+-4
-4

c. -2(2)-4
-4+-4
-8

Click here to see answer by Edwin McCravy(8909)

Question 256179: my son is having problems with this equation i think it is titled elemination
this is how the problem is written:
5x-y=13
2x-y=1

Click here to see answer by Alan3354(30993)

Question 214031: if f(a+b) = f(a) + f(b) for all real numbers. Show how f(2a) = 2*f(a) and show how f(0) = 0.
Click here to see answer by Doni305(1)

Question 256350: NEED HELP PLEASE!!
Give an example of a function whose domain is the set of integers and whose range is the set of positive integers.
Click here to see answer by palanisamy(496)

Question 256438: Take a look at the table below and write out an equation for f(x). Show your work.

Click here to see answer by volfkr(1)

Question 256549: Can you please do a step by step informative answer for the following question? I am having to take a placement test and cannot for the life of me remember how to perform a function!!! Thanks!
The whole question goes as follows:
Listed below are 5 functions< each denoted g(x) and each involving a real number constant c>1.
If f(x)=2 to the x, which of these 5 functions yeilds the greatest value for
f(g(x)), for all x>1?
a. g(x)=cx
b. g(x)=c/x
c. g(x)=x/c
d. g(x)=x-c
e. g(x)=logsubscriptc x
HELP!
Click here to see answer by drk(1908)

Question 257222: what is the domain of the relation (1,4)(0,-2)(2,3)(-1,4)(-3,0)
Click here to see answer by drk(1908)

Question 257232: If f(x) = 3x – 7, determine f^-1(x) and write your answer as a single fraction
Click here to see answer by drk(1908)

Question 257320: writ an equation of the line containing the given point and parallel to the givenline. express your answer in the form y=mx+b. (6,9), x+6y=7.... the equation of the line is y =
Click here to see answer by jim_thompson5910(28595)

Question 257117: Determine the domain: h(x): 8x/x(x^2-36)
Click here to see answer by Fombitz(13828)

Question 257400: f(x)=-10x-8
What is the y intercept (0, )
The Slope is -10
Click here to see answer by richwmiller(9143)

Question 257523: Please help me solve this problem: Find the equation of the line with slope -1
that is the tangent to the curve y = 1/x-1.

(1 mark each for the general equation of the line, for getting the quadratic, for solving for k and for the solution)(Advanced functions)
I have started with the slope of -1 is in the form of y= -x+k (k is used instead of b to prevent confusion with the quadratic). The intersection of
this line with the curve y= 1/x-1 is found by solving -x+k = 1/x-1.
Rearranging the equation :
Then I would like to use the discriminant formula to solve for k, however, I am not sure how, and, if I have rearranged the equation correctly. I would appreciate your help with solving this problem. Thank you.
Click here to see answer by MRperkins(300)

Question 257618: Suppose that f(x) = ax + b, where a and b are real numbers.
Given that f(f(f(x))) = 8x + 21, what is the value of a + b?
Click here to see answer by jim_thompson5910(28595)

Question 257620: What is the product of 25 and 52 ?
Click here to see answer by shahbazn(6)

Question 257652: Take a look at the table below and compute an equation for f(x).
x -3, -2, 1, 3 4
f(x) 0, 3, 12, 18, 21
Click here to see answer by Alan3354(30993)

Question 257728: Find the function value.
F(x) = x to the third power.
F(-9) =
Click here to see answer by drk(1908)

Question 257746: Find the domain and range of the following function: f(x)= square root(x-1/x+1)
Click here to see answer by jsmallt9(3296)

Question 258094: The perimeter of a rectangle is 54. If the length is three more than twice the width, what are the dimensions of the rectangle?
Click here to see answer by checkley77(12569)

Question 258299: is y2=3x A FUNCTION
Click here to see answer by Theo(3464)

Question 258929: Here’s the problem:
For a car renting for $15 per day plus $.10 per mile, the cost for 1 day is
C(m)=15+o.10m (dollars)
where m is the number of miles driven. If the person paid $35.30 for 1 day’s rental, how far did the person drive?
Now I can look at this and know what the answer is, but I have to solve it using
L(a)=-2/3+150
I not only do not understand how to do it – I don’t understand the function.
Could you guide me through this please?

Click here to see answer by stanbon(57377)

Question 258971: What are the domains and ranges of this function?
Is it even a function at all?

Thank you for the help because I am really stuck on this problem.
Click here to see answer by stanbon(57377)

Question 259095: The area of my question is the evaluating of a function.
I am at a loss when even beginningto plug in the numbers where they need to go.
The problem reads: Given P(x)=4x+7, write P(-2+h)-P(-2) in simplest form.
Thanks tons any assistance is greatly appreciated.
Click here to see answer by Edwin McCravy(8909)

Question 259163: My question is in regards to graphing linear functions.
I need to graph y=2/3x-4 I am unsure how to graph it. Could you also explain why I graph it the way I do based on that formula. Thanks a lot. ANy help is appreciated.
Click here to see answer by rfer(12662)

Question 259139: I have a question concerning exclusion, domain and function.
THe question reads:
What values are excluded from the domain of the function:
H(x)=x-2/x+2
Any help is greatly appreciated

Click here to see answer by Fombitz(13828)

Question 259181: show work and solve
f(x)=4x-7 difference quotient (f(3+h)-f(3))/ h h is not equal to 0
Click here to see answer by Fombitz(13828)

Question 259760: I need help with this on please
For the function, f(x) = 3x + 6, find f( -1)
Click here to see answer by richwmiller(9143)

Question 259815: Mountainside Fleece sold 40 neck warmers. Solid color warmers sold for $9.90 each and colored ones sold for $12.75 each. In all $421.65 was collected. How many of each were sold?!
Click here to see answer by drk(1908)

Question 259809: p(x) = two squared - 2x+9

Click here to see answer by jim_thompson5910(28595)

Question 259878: Determine algebraically whether each function is even, odd, or neither.
a.f(x)=3x4
b.f(x)=7x3

Click here to see answer by nerdybill(6962)

Question 259965: The function p(q) = q^2 - 7 and f(s) = 9. If 2f(s) = p(q), what is the value of q?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Click here to see answer by rfadrogane(214)

Question 259879: If f(x)=2x2+3a+5, and f(1)=-2, then a = ?
Click here to see answer by checkley77(12569)

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