|
Tutors Answer Your Questions about Functions (FREE)
Question 45202: Find the maximum or minimum value of the function:
f(x) = 1 + 3x -x^2
= x^2 + 3x + 1
=-(x^2 -3x + 2.25) +1 + 2.25
=-(x^2 -3x + 2.25) + 3.25
x= -b/2a = -3/2(-1) = 3/2 = max 1.5
y = 3.25
Thank you so much!
Click here to see answer by rapaljer(4667)   |
Question 45205: Find the maximum or minimum value of the function
f(x) = -x^2/3 + 2x + 7
x = 2/2(-1/3) = 2/(-2/3)= (2/1)(3/2)= 3 maximum
(-x^2 + 6x + 21 /3) = ((-x^2 + 6x + 9) + 21 + 9)/3)
= (-(x + 3)^2 + 30)/3
= -(x + 3)^2 + 10
y = 10
Thanks so much!
Click here to see answer by rapaljer(4667) |
Question 45369: It's been 15 years since I've taken algebra, please show me how you got to the answer.
If f(4)=0 and f(6)=6, what could represent f(x)?x can represent anyone number that solves the equation
Click here to see answer by hope(1) |
Question 45520: Use the property of Inverse Functions to show that f and g are inverses of each other:
f(x) = x^3 + 1; g(x) = (x-1)^(1/3)
f(g(x)) = f((x-1)^1/3) + 1 = x-1 + 1 = x
g(f(x)) = g(x^3 + 1) = (x^3 + 1)^3 + 1 = x + 1 -1 = x
f and g are inverses of each other.
Thank you very much!
Click here to see answer by stanbon(57407) |
Question 45518: Use the Property of Inverse Functions to show that f and g are inverses of each other:
f(x) = 2x, g(x) = x/2
f(g(x)) = f(x/2) = 2(x/2) = x
g(f(x)) = g(2x) = 2(x/2) = x
f and g are inverses of each other, correct?
Thank you very much!
Click here to see answer by stanbon(57407) |
Question 45583: A company produces a product for which the variable cost is $10.20 per unit and the fixed cost is $13000.The product sells for $ 19.99.Let x be the number of unitsproduced and sold.
a)Write the total cost of C as a function of the number of units produced.
b)Write the revenue R as a function of the number of units sold
c)Write the profit P as a function of the number of units sold.
Click here to see answer by stanbon(57407) |
Question 45654: I told my grandson I would help with his homework and I don't have the heart to tell him I don't know it Could you answer these questions for me:
Why is function notation important? and what's the reasons for function notation? I have not the slightest idea, can you help me on this one?
Bless you heart.....Bessie
Click here to see answer by stanbon(57407) |
Question 45790: From a square piece of cardboard with width x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x.
I am at a loss on how to start solving this one.
Click here to see answer by checkley71(8403) |
Question 45850: the following two lines represent a function: line (1) has points a(-3,1) b(-1,4) line (2) has points c(1,3) and d(4,1). Give the domain of the function.
i know from my reading it says the Domain is the highest values that make the function work. but i am not sure what that means given the data above.
Click here to see answer by tutorcecilia(2152)  |
Question 45851: values of two functions (f) and (g) are listed below find the composite (f little circle g)(6).
values for (f) [x=4 f(x)=7 ] for [x=5 f(x)=6] [for x=6 f(x)=5] [x=7 f(x)=4]
values for (g) [x=4 g(x)=6 ] for [x=5 g(x)=7] [for x=6 g(x)=4] [x=7 g(x)=5]
i know from my reading that the composite = f(g(x))
so does that mean i just go to the list and find what g(6)= which is 4.
to find my answer. is it that simple.
Click here to see answer by stanbon(57407) |
Question 45881: How do I even apprehend this? Can you explain each step for me please.
Thanks.
If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function P(x)=2.25x-7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Click here to see answer by Earlsdon(6287) |
Question 46288: Question is: Give the domain of square root of x + 1 over x in interval notation. My first answer was (-infinity, 0) U (0, infinity). I got the second part right but I did not get the first part of the answer right. I know that the reciprocal function f(x) = 1/x contains the domains of (-infinity, 0)U (0, infinity) but apparently this does not help me. Can anyone help?
Click here to see answer by AnlytcPhil(1278)  |
|
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
|
| |
