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

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Question 1176347: x -2 1 3 6
f(x) 6 3 1 -2
g(x) -7 -2 5 9

find the value of f(1)
Click here to see answer by josgarithmetic(39613)

Question 1176347: x -2 1 3 6
f(x) 6 3 1 -2
g(x) -7 -2 5 9

find the value of f(1)
Click here to see answer by ewatrrr(24785)

Question 1176447: Suppose a car rental company charges $110 for the first day and $60 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

Click here to see answer by Boreal(15235)

Question 1176450: f(x)=
{x+1 if x>4
{ -(x+1) if x<=4
;
f(1)
Click here to see answer by Solver92311(821)

Question 1176450: f(x)=
{x+1 if x>4
{ -(x+1) if x<=4
;
f(1)
Click here to see answer by math_tutor2020(3816)

Question 1176801: Compute f(x+h)-f(x)/h if f(x) = ax+b
Click here to see answer by Edwin McCravy(20054)

Question 1176800: For the function f(x) = 3^x find f(x+1)/f(x-2)
Click here to see answer by ikleyn(52747)

Question 1176845: f(x) =[ x − 3 if x < 1
[ x^2 if x ≥ 1
Evaluate the piecewise-defined function.
Click here to see answer by Solver92311(821)

Question 1176881: Let f(n) = 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + ... 1/n
Find a recursive formula for f(n). Do not forget to include any necessary base case(s).
Click here to see answer by ikleyn(52747)

Question 1176932: At an annual board meeting company X is deciding whether or not to take the company public. Each board member can vote "yes", "no", or "abstain". If there are n-board members, then how many different ways can the votes be cast? Express your answer as a recursive function, f(n). Do not forget to include any necessary base case(s).
Give another function to answer the above question, but this time your function must NOT be recursive. Hint: Think about the counting theory.
Click here to see answer by ikleyn(52747)

Question 1176930: A binary tree is a connected graph with no cycles, where each vertex has a degree less than or equal to 3. What is the maximum number of vertices of degree one that a binary tree with 15 vertices can have?
Click here to see answer by greenestamps(13195)

Question 1177097: I'm not sure how to do this, an explanation would be greatly appreciated!
Find the domain of the function using interval notation:
f(x) = -2x(x-1)(x-8)
Click here to see answer by MathLover1(20849)

Question 1177209: Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=4x+2
t(x)=5x
Write the expressions for (s-t)(x) and (s*t)(x) and evaluate (s+t)(1).

Click here to see answer by ikleyn(52747)

Question 1177279: find the largest interval d on which the formula f(x)=x^2 defines a one to one function solution
Click here to see answer by math_helper(2461)

Question 1177281: find the largest interval d on which the formula f(x)=x^2 defines a one to one function.
Click here to see answer by MathLover1(20849)

Question 1177280: Determine whether or not a constant function can be
a. One to one
b. An onto function
Click here to see answer by MathLover1(20849)

Question 1177363: An object is dropped from a height of 906 feet. The equation d = 16t^2 represents the distance fallen (d, in feet) after t seconds.

Click here to see answer by Solver92311(821)

Question 1177474: As shown in the accompanying figure, a pendulum of constant length L makes an angle θ with its vertical position.
Express the height h as a function of the angle θ.
Click here to see answer by ikleyn(52747)

Question 1177661: match each graph of f and it’s transformation g.
https://www.bartleby.com/questions-and-answers/1.-match-each-graph-of-f-and-its-transformation-g.-fo-0.5-fo0-0.5-fo-2-gx-fo-k-for-k-2-gx-fx-k-g0-x-/66e443a2-49b5-4ced-8962-5b75965f2324
could you answer this for me, please?
i don’t know how to import photos into this box, so i used this website for the question and graph.
Click here to see answer by MathLover1(20849)

Question 1177658: match each graph of f and it’s transformation g.
https://www.bartleby.com/questions-and-answers/1.-match-each-graph-of-f-and-its-transformation-g.-fo-0.5-fo0-0.5-fo-2-gx-fo-k-for-k-2-gx-fx-k-g0-x-/66e443a2-49b5-4ced-8962-5b75965f2324
could you answer this for me, please?
i don’t know how to import photos into this box, so i used this website for the question and graph.
Click here to see answer by MathLover1(20849)

Question 1177900: Given f(x)=x^2+7. Find f(8).
Click here to see answer by MathLover1(20849)

Question 1177902: For each of the following, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain:
a)f(x) = sqrt{x-5}
b)f(x) = {x}/{x^2+1}
c)f(x) = x + 1 + {1/x}
d)f(x) = |x| * sqrt{x}
Click here to see answer by ikleyn(52747)

Question 1177905: For each of the following, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain:
f(x) = sqrt{x-5}

Click here to see answer by MathLover1(20849)

Question 1177908: Find all real solutions for x in
2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 .
Click here to see answer by greenestamps(13195)

Question 1177942: Let q represent the number of widgets sold each week by a store, p represent the price in dollars of a widget, and D represent the demand.
Suppose that the demand function is
q= D(p)= 120/sqrt(q)
What is the decrease in the demand when p is changed from $9 to $25?
A.16
B.17
C.24
D.30

Click here to see answer by greenestamps(13195)

Question 1178232: Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's profit 3 days later.
Write a function formula for p using the function s.
p(x)=
write a function formula for s using the function p.
s(x)=

*p(x)=(s(x))^3/3 is not the correct answer
Click here to see answer by ikleyn(52747)

Question 1178251: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 70 items =
Number

Profit when producing 80 items =
Number

Can you explain, from our model, why the company makes less profit when producing 10 more units?

Click here to see answer by ikleyn(52747)

Question 1178362: Express f(x) in the form f(x) =ax+ b + c/x-2 for constants a b and c.
The function is f(x) = 2x squared - 6 / x-2
Click here to see answer by MathLover1(20849)

Question 1178430: f:k arrow k^2-3. Find f^-1:k
Click here to see answer by ikleyn(52747)

Question 1178431: f:k → k^2- 3. Find f^-1: k
Click here to see answer by ikleyn(52747)

Question 1178493: If
z = {{ sqrt{3}}^2 - 2{sqrt{2} }^2 }}/{{sqrt{3}} - 2{sqrt{2}} }
find floor z. I got 0, but it's incorrect, so can somebody tell me what they got for it? Thanks!
Click here to see answer by MathLover1(20849)

Question 1178514: For the given functions f and g , find the indicated composition.

f(x) = 3x + 13, g(x) = 4x - 1
(f∘g)(x)
Click here to see answer by ewatrrr(24785)

Question 1178513: For the given functions f and g , find the indicated composition.

f(x) = 12x2 - 9x, g(x) = 8x - 10
(f∘g)(6)

Click here to see answer by ewatrrr(24785)

Question 1178523: Find functions f and g so that h(x) = (f ∘ g)(x).
h(x)=2/X Squared +2
or h(x)=2/X2 +2
Click here to see answer by greenestamps(13195)

Question 1178521: Find functions f and g so that h(x) = (f ∘ g)(x).
h(x)=1/X Squared -8 or h(x)=1/X2-8
Click here to see answer by greenestamps(13195)

Question 1178520: Find the domain of the composite function f∘g.

f(x) = Square Root X ; g(x) = 4x + 8
Click here to see answer by MathLover1(20849)

Question 1178517: Find functions f and g so that h(x) = (f ∘ g)(x).
h(x) = (5x - 19)exponent 6
Click here to see answer by ewatrrr(24785)

Question 1178516: For the given functions f and g, find the indicated composition.

f(x) = 4x2 + 2x + 7, g(x) = 2x - 3
(g∘f)(x)
Click here to see answer by ewatrrr(24785)

Question 1178518: Find the domain of the composite function f∘g.

f(x) = 6x + 36, g(x) = x + 4

Click here to see answer by ikleyn(52747)

Question 1178519: Find the domain of the composite function f∘g.

f(x) = x + 6, g(x) = 2/x+7

Click here to see answer by MathLover1(20849)

Question 1178515: For the given functions f and g , find the indicated composition.
f(x)=4/x-6 , g(x)=4/3x (f.g)(x)
Click here to see answer by MathLover1(20849)

Question 1178595: Find the domain of the function.
f(x) = x2 + 4
Click here to see answer by ewatrrr(24785)

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