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

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Question 1166612: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final graph.
f(x) = sqrt x ; reflect in the y axis, shrink vertically by a factor of 1/2 and shift upward 2 units
Click here to see answer by greenestamps(13200)

Question 1166996: A videoke machine can ve rebted for P1,000 for three days, but for the fourth day onwards,an additional cost of P400 per day is added. Represent the cost of renting a videoke machine as a piecewise function of number of days it is rented
Click here to see answer by Theo(13342)

Question 1167054: What is the inverse function of f(x)=sqrt(5+8x)?
Click here to see answer by Boreal(15235)

Question 1167054: What is the inverse function of f(x)=sqrt(5+8x)?
Click here to see answer by greenestamps(13200)

Question 1167053: f(x)=x^2+1 and g(x)=x^2−1. Find (f∘f)(x), (f∘g)(x), and (g∘f)(x).
Click here to see answer by Edwin McCravy(20056)

Question 1167057: What is the inverse function of f(x)=x^2+x, x ≥ -1/2?
Click here to see answer by Theo(13342)

Question 1167057: What is the inverse function of f(x)=x^2+x, x ≥ -1/2?
Click here to see answer by solver91311(24713)

Question 1167068: If f(x)=1/x+1 and g(x)=4/x-9,find and simplify f∘g. Find the domain of f∘g.
Click here to see answer by josgarithmetic(39618)

Question 1167086: .If 'f' what is the largest possible domain of 'f(x)=(x+2)^(2)-1,' so that its inverse is also a function? Explain each step.
Click here to see answer by solver91311(24713)

Question 1167258: An epidemic is spreading by an average of 15 new cases per day. If a total of 750 cases have occurred as of today, what cumulative number of cases do we expect four days from now?

Click here to see answer by ikleyn(52794)

Question 1167273: y = 3 ( x + 5 ) ( x - 2 )
Click here to see answer by Alan3354(69443)

Question 1167273: y = 3 ( x + 5 ) ( x - 2 )
Click here to see answer by ikleyn(52794)

Question 1167404: 1.

I get the following for .
2.
I get the following for .
What are the domains?
Click here to see answer by josgarithmetic(39618)

Question 1167522: Find constants A and B such that
{x + 7}/{x^2 - x - 2} = {A}/{x - 2} + {B}{x + 1}
for all x such that x is not equal to -1 and x is not equal to 2. Give your
answer as the ordered pair (A,B).
Click here to see answer by Edwin McCravy(20056)

Question 1167738: A function f has a horizontal asymptote of y = -4, a vertical asymptote of x = 3, and an x-intercept at (1,0). Part (a): Let f be of the form f(x) = {ax+b}/{x+c}. Find an expression for f(x). Part (b): Let f be of the form f(x) = {rx+s}/{2x+t}. Find an expression for f(x). Can you please explain in detail? Thank you!
Click here to see answer by Boreal(15235)

Question 1167742: If h(x)=x2+x, with x -12, then what is h-1(20)?
What is the domain
Click here to see answer by ikleyn(52794)

Question 1167747: I apologize I phrased it wrong last time I meant
If h(x)=x2+x, then what is h-1(20)?
What is the Domain?
Click here to see answer by josgarithmetic(39618)

Question 1167801: Please help me to answer these questions about domain.
Q.What values of X are not part of the domain?
3/X=X-7/x+2
Click here to see answer by ikleyn(52794)

Question 1167802: Please help me to answer these questions about domain.
Q.What values of X are not part of the domain?
(3/X+4)(7/X-8)(2/2X+3)
Thank you!
Click here to see answer by ikleyn(52794)

Question 1168005: Suppose that the relation is defined as follows.
H {(9,-6)(-3,-3)(-6,9)(0,7)Give the domain and range of H.
Write your answers using set notation.
Click here to see answer by Boreal(15235)

Question 1168073: Express the function
h(x)=(x+8)^5 in the form f ∘ g. If f(x)=x^5, find the function g(x).
Your answer is g(x): ?
I really need to get this one, help!!
Click here to see answer by Boreal(15235)

Question 1168075: Let f(x)=√42−x and g(x)=x²−x.
Give the domain of f ∘ g using interval notation.
I can't figure this one yet, please!!
Click here to see answer by solver91311(24713)

Question 1168075: Let f(x)=√42−x and g(x)=x²−x.
Give the domain of f ∘ g using interval notation.
I can't figure this one yet, please!!
Click here to see answer by Theo(13342)

Question 1168165: Evaluate the indicated function, where
f(x) = x2 − 3x + 2
and
g(x) = 3x − 6.
(f/g)(−4)
Click here to see answer by ikleyn(52794)

Question 1168155: Carol and George drive away from a camp ground. Carol went North and George went
East. Carol’s speed s 40 kph and George’s speed is 75 kph.
a. Express the distance between the cars as a function of time.
b. Find the domain of the function.
(And explain how do you get the answer) I totally need it
Click here to see answer by ikleyn(52794)

Question 1168174: What is the amount of oxygen produced by the trees in Mt. Matutum 𝑡 years since 2000
when 𝑓(𝑡) represents the number of trees in Mt. Matutum t years since 2000 and
𝑔(𝑛) represents the amount of oxygen produced by 𝑛 trees?
Help me
Click here to see answer by ikleyn(52794)

Question 1168206: g(x) = 3x^2+2x-1. Find g(-1).
Click here to see answer by ikleyn(52794)

Question 1168378: Suppose that the cost for manufacturing n desks is C dollars, so we have C = f(n). Which of the following statements is the best interpretation of f(2n)?
1) The cost, in dollars, for manufacturing half as many desks.
2) The number of desks has doubled.
3) The cost, in dollars, for manufacturing n desks has been cut in half.
4) The cost, in dollars, of manufacturing twice as many desks.
5) The cost, in dollars, has doubled for manufacturing n desks.

Click here to see answer by ikleyn(52794)

Question 1168377: Suppose that the cost for manufacturing n desks is C dollars, so we have C=f(n). Which of the following statements is the best interpretation of 2f(n)?
1) The cost, in dollars, of manufacturing twice as many desks.
2) The cost, in dollars, has doubled for manufacturing n desks.
3)The cost, in dollars, for manufacturing n desks has been cut in half.
4)The number of desks has doubled.
5)The cost, in dollars, for manufacturing half as many desks.
Click here to see answer by ikleyn(52794)

Question 1168373: Let f(x)= 3|x| If g(x)is the graph of f(x) shifted right 4 units, write a formula for g(x)

g(x)= ?
Please help me on this one!!
Click here to see answer by Boreal(15235)

Question 1168438: For the function f(x)=x^2+2x-15 solve the following.
f(x) less than or equal to 0

Click here to see answer by ikleyn(52794)

Question 1168502: Suppose H(x)=√6x-1.
Find two functions f and g such that
(f °g)(x) = H(x)
f(x) =
g(x) =
I don't understand how I figure out the functions.
Click here to see answer by greenestamps(13200)

Question 1168430: This is a word problem relating to exponential functions:
The half-life of a substance is 250 years. If there were initially 100 grams of the substance, what is the exponential model for the situation? And how much will remain after 500 years?
Thank you so much in advance. Have a good day!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1168646: I wanted to know if y= 6/x + 3 is a function or not??
Click here to see answer by dkppathak(439)

Question 1168645: I wanted to know if y= 6/x + 3 is a function or not??
Click here to see answer by josgarithmetic(39618)

Question 1168645: I wanted to know if y= 6/x + 3 is a function or not??
Click here to see answer by ikleyn(52794)

Question 1168661: The formula that describes an object’s motion is given by S=ut+12at2
S
=
u
t
+
1
2
a
t
2
, where S
S
is the distance traveled, u
u
is the initial velocity, a
a
is the acceleration, and t
t
is the time. Which equation represents a
a
in terms of the other variables?
Click here to see answer by Boreal(15235)

Question 1168705: The total daily profit P, in dollars, from producing and selling x units is given by the function P(x)=19x−(8x+a), where a is some constant. If 200 units were produced and sold yesterday for a total profit of $2,000, what is the value of a?
(A) −200 (B) −100 (C) 0 (D) 100 (E) 200

Click here to see answer by solver91311(24713)

Question 1168768: Find all the zeros of the function and write the function in factored form, show all work.
Click here to see answer by josgarithmetic(39618)

Question 1168780: if g(x)=x^2-4 find the value of g(-4t)
Click here to see answer by ikleyn(52794)

Question 1168869: Can anyone tell me if f(x)= -x is a function or not? Thank you! ☺
Click here to see answer by math_helper(2461)

Question 1168956: solve the problem using a linear equation.
A motorist drives at a constant rate of 60 kph. if his destination is 240 kilometers away from his starting point, how many hours will it take him to reach the destination?
Click here to see answer by Alan3354(69443)

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