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

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Question 1074716: Let f∶ R→Z, where f(x)=⌈2x−1⌉.
(a) Find f(A), where A={x∈R∣1≤x≤4}.
(b) Find f−1(B), where B={−9,−8}.
Click here to see answer by Fombitz(32388)

Question 1074907: Find domain and range of f(x)=3/√9-3
Click here to see answer by Fombitz(32388)

Question 1074906: Given the graph below, write the radical function for f(x).
(-2,3)(-1,2)(2,1)(7,0)
I know that on this website there is no graph. But these are the coordinates that I took from my homework.

Click here to see answer by Fombitz(32388)

Question 1074997: WWhich list of ordered pairs is NOT a function?

a

{(1, 1), (3, 1), (4, 2), (5, 3)}

b

{(1, 1), (2, 2), (3, 3), (4, 4)}

c

{(1, 1), (1, 3), (2, 3), (3, 4)}

d

{(1, 1), (2, 3), (3, 4), (4, 5)}

Click here to see answer by Fombitz(32388)

Question 1074921: The graph of a function y+f(x) is vertically expanded by a factor of 2.
Find the equation of this expanded function in terms of function f(x)
Click here to see answer by KMST(5328)

Question 1075113: An internet provider charges a $110 set up fee and $70 monthly fee. Find the cost C(t) of having a contract with this provider for t months. If a person has paid $1440 for the internet provider, how many months has he had a contract with them?
Click here to see answer by josgarithmetic(39618)

Question 1075131: A curve has equation y = (x^2-5x+7)/(x-3).
Find the range of y for real x. Hence, or otherwise, find the coordinates of the turning points.
Click here to see answer by Boreal(15235)

Question 1075343: Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
Click here to see answer by Lightning_Fast(78)

Question 1075366: Given the graph below, write the radical function for f(x).
These are the coordinates that I took from my homework:
(-2,3)(-1,2)(2,1)(7,0)
I am sorry if I don't have a graph to place on this website, but radical function means A function that contains a radical expression with the independent variable in the radicand. Also a radicand is the number or expression inside a radical symbol.
Click here to see answer by KMST(5328)

Question 1075773: For each function f in Exercises 53-60, find f(-2) & f(5).
53. f={(-1,18), (-2,12), (0,4), (5,4), (-3,4)}
55. f={(-3/4,-1), (-2,4), (5,2), (8,10)}
I've never seen these types of problems before, & my professor never went over on how to deal with them.
Click here to see answer by ikleyn(52794)

Question 1075738: Evaluate each function at the given values of the independent variable and simplify
G(x)=x^2+2x+3

Click here to see answer by Alan3354(69443)

Question 1075973: Compare the number of intercepts and end behavior of an exponential function in the form of y=A(b)^x, where A > 0 and 0 < b < 1 to the polynomial where the highest degree tern is -2x^3, and the constant term is 4
Click here to see answer by stanbon(75887)

Question 1075770: Suppose $P(x)$ is a polynomial of smallest possible degree such that:
$\bullet$ $P(x)$ has rational coefficients
$\bullet$ $P(-3) = P(\sqrt 7) = P(1-\sqrt 6) = 0$
$\bullet$ $P(-1) = 8$
Determine the value of $P(0)$.
Click here to see answer by Fombitz(32388)

Question 1076006: What is the range of f(x)?
f(x)= 3^(x-2)-1

Click here to see answer by stanbon(75887)

Question 1075999: Find the inverse of each of the following functions.State the domain of the inverse function:
a) f:[-1,4]-R,f(x) 10-9x
I got f(x)= -(x-10)/9
b) f: (-6,infinity)-R, f(x)=(x+7)^2
I only got as far as (6+7)^2= f^-1(x)
Click here to see answer by htmentor(1343)

Question 1076059: for the equation: 3/200 + x/50 = 7/100
a. find a simpler equivalent equation (i.e., an equivalent equation with no fractions ) and solve for x
Click here to see answer by josgarithmetic(39618)

Question 1076062: 10-67. Solve these equations, if possible. Each time, be sure you have found all possible solutions. Check your work and write down the name of the methods(s)you used.
c. 2/x + 3/10 = 13/10
Click here to see answer by josgarithmetic(39618)

Question 1076078: (x+4)^2=49
Click here to see answer by MathLover1(20850)

Question 1076075: 3squarerootx+2=12
Click here to see answer by MathLover1(20850)

Question 1076077: Given: f(x)=x^2+27/x
Ultimately, I am supposed to analyze the graph of this function, but my immediate question is ONLY regarding what text says should be first step: "First, write f(x) as an improper rational function in lowest terms."
They show: f(x)=x^2+27/x = (x^3+27)/x.
I don't understand this result.
Does not multiplying both terms by "x" (the LCD) eliminate the fraction, resulting in just x^3+27 ?
Thank you.
Click here to see answer by Alan3354(69443)

Question 1076076: solve each equation by first rewriting the expression in each part with the same base
c. 4^2x=(1/2)^x+5
Click here to see answer by MathLover1(20850)

Question 1076076: solve each equation by first rewriting the expression in each part with the same base
c. 4^2x=(1/2)^x+5
Click here to see answer by jorel1380(3719)

Question 1076076: solve each equation by first rewriting the expression in each part with the same base
c. 4^2x=(1/2)^x+5
Click here to see answer by MathTherapy(10552)

Question 1076089: (x+4)^2=49
Click here to see answer by ikleyn(52794)

Question 1076089: (x+4)^2=49
Click here to see answer by Alan3354(69443)

Question 1076065: F(X)=4X(X+1)^3 KNOWING THAT X=2
Click here to see answer by josgarithmetic(39618)

Question 1076210: To avoid a sand trap, a golfer hits a ball so that its height is represented by equation h = -16t^2 + 80t, where h is height measured in feet and t is the time measured in seconds.
a. when does the ball land on the ground?
b. what is maximum height of the ball during its flight?
Click here to see answer by josmiceli(19441)

Question 1076491: If f(g(x)) = 4x^2 - 8x and f(x) = x^2 - 4 , then g(x) = ?
Click here to see answer by MathLover1(20850)

Question 1076816: A common type of graph you will encounter in life is one that shows a company�s stock price over time. Take a look at a few on the Internet if you are not familiar with them. These graphs are obviously not linear, quadratic, exponential, logarithmic, or rational functions. But are they piecewise functions? Explain why you think that they fit the description of a piecewise function or not.
Click here to see answer by rapture(86)

Question 1077055: f(x)= 2x+3 all over x-1
Show that f inverse of x= x+3 all over x-2
Click here to see answer by josgarithmetic(39618)

Question 1077109: given that f(x)=3x+4/3 and g(x)=4x+5 determine the value of gf(2)
Click here to see answer by rapture(86)

Question 1077252: If f(x)=(2√x)� what is f(107)?
Click here to see answer by MathLover1(20850)

Question 1077353: find the domain of f(x)=1/(x^2-2x-15)
Click here to see answer by MathLover1(20850)

Question 1077352: find the domain for h(x)= square root of (13+x)
Click here to see answer by jim_thompson5910(35256)

Question 1077429: Find the domain of the following function. Give your answer in interval notation. f(x)=sqrt x+4
Click here to see answer by ikleyn(52794)

Question 1077624: A table of values of a linear function is shown below. Find the output when the input is n

input 1,2,3,4,n
output −9,−11,−13,−15,

Click here to see answer by josgarithmetic(39618)

Question 1077691: If f is a polynomial of degree 4 such that
f(0) = f(1) = f(2) = f(3) = 1
and
f(4) = 0,
then determine f(5).
Click here to see answer by math_helper(2461)

Question 1077937: The depth of water in a tub varies directly as the length of time the Taps are on if the taps are left on for six minutes the depth of the water is 24cm . Watt is an equation that expresses the functional relationship between depth (d) and time (t)
Click here to see answer by josmiceli(19441)

Question 1078074: The question asks "Which of the following must be even?" and it lists 5 answer choices in function notation. How do I go about identifying which equations are even?
1. x^2+6x+9
2. x^2+7x+12
3. x^2+4x-21
4. x^2+4x-12
5. x^2+8x+15
Thanks for your help!
Click here to see answer by Fombitz(32388)

Question 1078151: Suppose that the relation H is defined as follows.
H= {(4,7), (-3,9), (1,-3), (4,0)}
Give the domain and range H
Click here to see answer by ikleyn(52794)

Question 1078104: Which point is not in the solution set of y< or = to 5x+ 7 and y> or = to 3x-3
Click here to see answer by Fombitz(32388)

Question 1078219: If f(x) = x2 + x and g(x) = x − 3, find f(g(7)).
Click here to see answer by Fombitz(32388)

Question 1078123:
17.Open-Ended Write an exponential function that begins its rapid increase
when 2 ≤ x ≤ 3. Write another that begins its rapid increase when 3 ≤ x ≤ 4.
Write a third that begins its rapid increase when 6 ≤ x ≤ 8.
Click here to see answer by solver91311(24713)

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