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

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Question 1044893: Kindly help me solving it i tried my best but I couldn't
lim 1%2F%28x%5E2%2Bx-2%29-x%2F%28x%5E3-1%29 is evaluated to be
x➡1
A)1/9
B)9
C-1/9
D)none of these

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1044899: find the domain of the function f(x)= (x^2-16)/7
Click here to see answer by josgarithmetic(39618) About Me 

Question 1044898: find the domain of the function f(x)= (x^2-16)/7
Click here to see answer by josgarithmetic(39618) About Me 
Question 1044898: find the domain of the function f(x)= (x^2-16)/7
Click here to see answer by ikleyn(52794) About Me 
Question 1044898: find the domain of the function f(x)= (x^2-16)/7
Click here to see answer by MathTherapy(10552) About Me 

Question 1044892: Kindly help me solving it i tried my best but I couldn't
lim %28x%5E%285%2F2%29-2%5E%285%2F4%29%29%2F%28sqrt+%28x%29-2%5E%281%2F4%29%29 is equal to
x➡sqrt+%282%29
a)1/10
b)10
c)20
d)none of these

Click here to see answer by KMST(5328) About Me 

Question 1044896:
Click here to see answer by ikleyn(52794) About Me 

Question 1044934: Given the function f(x) = x^2-8 over x-3, if x = -2, what is f(x)? What point is on the graph of f?

Click here to see answer by Theo(13342) About Me 

Question 1044982: -Suppose that the functions s and t are defined for all real numbers x as follows-
s(x)=x-1
t(x)=3x+4
Write the expressions for (s-t)(x) and (s⋅t)(x) and evaluate (s+t)(-2)


(s-t)(x)=
(s⋅t)(x)=
(s+t)(-2)=


Click here to see answer by MathLover1(20850) About Me 

Question 1044992: F(x)=3x-4
G(x)=the square root of 5x+2

(F divided by G)(x)=


Click here to see answer by ikleyn(52794) About Me 

Question 1045095: Find the Domain of the function (answer in interval notation)
G(x)=8x+|x|/x

Click here to see answer by richard1234(7193) About Me 

Question 1045147: When the function y=h(x)=ax^2+bx+c is graphed in the x-y plane, the result is a parabola with vertex at (4,7). If h(2)=0, which of the following must also equal to 0?
a.)h(5)
b.) h(6)
c.) h(8)
d.) h)9)

Click here to see answer by josgarithmetic(39618) About Me 
Question 1045147: When the function y=h(x)=ax^2+bx+c is graphed in the x-y plane, the result is a parabola with vertex at (4,7). If h(2)=0, which of the following must also equal to 0?
a.)h(5)
b.) h(6)
c.) h(8)
d.) h)9)

Click here to see answer by MathTherapy(10552) About Me 

Question 1045240: Please help me with this. Detailed workings are very much appreciated, thanks!
The weekly demand and supply functions for a type of watch is given by
p=-0.1x^2-x+40 and p=0.1x^2+2x+20 respectively,
where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity and price.

Click here to see answer by Boreal(15235) About Me 
Question 1045240: Please help me with this. Detailed workings are very much appreciated, thanks!
The weekly demand and supply functions for a type of watch is given by
p=-0.1x^2-x+40 and p=0.1x^2+2x+20 respectively,
where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity and price.

Click here to see answer by MathTherapy(10552) About Me 

Question 1045204: Find the Domain of the function (interval notation)
f(x)={x+9 if x<-3; -2x if |x|(< or=) 3; -6 if x>3

Click here to see answer by ikleyn(52794) About Me 

Question 1045448: 5 is added to twice a number
Click here to see answer by MathLover1(20850) About Me 
Question 1045448: 5 is added to twice a number
Click here to see answer by stanbon(75887) About Me 

Question 1045526: Determine the domain and range of the function f(x)=(3/(x−2))+1


Click here to see answer by advanced_Learner(501) About Me 

Question 1045576: Determine the domain and range of the function f(x)=(3/(x−2))+1
Click here to see answer by josgarithmetic(39618) About Me 

Question 1045671: A function $f$ has 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
$$f(x) = \frac{ax+b}{x+c}.$$
Find an expression for $f(x).$
Part (b): Let $f$ be of the form
$$f(x) = \frac{rx+s}{2x+t}.$$
Find an expression for $f(x).$

Click here to see answer by Fombitz(32388) About Me 

Question 1045664: Find all vertical asymptotes of the function f(x) = 9/2sin^2 x−sinx−1,
in the interval [0,2π], expressing your answers in radians.

Click here to see answer by solver91311(24713) About Me 

Question 1045715: I am a rational function having a vertical asymptote at
the lines x = 3 and x = -3, and a horizontal asymptote y = 1.
If my only x-intercept is 5, and y-intercept is -5/9, What
function am I?

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1045641: A videoke machine can be rented for 1,000 pesos for three days, but for the fourth day onwards, an additional cost of 400 pesos per day is added. Represent the cost of renting a videoke machine as a piece wise function of the number of days it is rented.
Click here to see answer by ewatrrr(24785) About Me 

Question 1045877: Let \[f(x) =
\begin{cases}
9x+4 &\text{if }x\text{ is an integer}, \\
\lfloor{x}\rfloor+5 &\text{if }x\text{ is not an integer}.
\end{cases}
\]Find $f(\sqrt{29})$.

Click here to see answer by solver91311(24713) About Me 

Question 1045876: The domain of the equation $y = \frac{3x}{2x^2 - 6x + 4}$ is the set of all real numbers with the exception of the values $x = A$ and $x = B$. What is $A + B$?
Click here to see answer by solver91311(24713) About Me 

Question 1045870: A function $f$ has horizontal asymptote of $y = -4,$ a vertical asymptote of $x = 3,$ and an $x$-intercept at $(1,0).$
Part (b): Let $f$ be of the form
$$f(x) = \frac{rx+s}{2x+t}.$$
Find an expression for $f(x).$

Click here to see answer by solver91311(24713) About Me 

Question 1045928: iam not understanding the question and in fact i have no idea how to solve it! plz help
let f(x)={ (x+2p if x<-2) }
{ (3px+q if x -2<=x<=1) }
{ (3x-2q if x>1) }
determine the values of p and q that make f continuous

Click here to see answer by ewatrrr(24785) About Me 

Question 1045971: GIVEN +Y=X%5E2%2B3X-2+ , ALGEBRAICALLY TEST WHETHER IT IS EVEN, ODD, OR NEITHER. I don't understand what an equivalent equation is, and hoe to tell whether an equation is even, odd, or neither.
Click here to see answer by ewatrrr(24785) About Me 

Question 1045981: A videoke machine can be rented for 1,000 pesos for three days, but for the fourth day onwards, an additional cost of 400 pesos per day is added. Represent the cost of renting a videoke machine as a piece wise function of the number of days it is rented.
Click here to see answer by josmiceli(19441) About Me 

Question 1046031: Let
f(x) = √x, g(x) = x + 12 and h(x) = 2/x
Find the domain of the following function then simplify the expression. (Enter your answer for the domain using interval notation.)
(h/g)(x)

Click here to see answer by josgarithmetic(39618) About Me 

Question 1046036: Let f(x) = √x, g(x) = x + 8 and h(x) = 5/x
Find the domain of the following function then simplify the expression. (Enter your answer for the domain using interval notation.)
(g/h)(x)

Click here to see answer by josgarithmetic(39618) About Me 

Question 1046097: The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. (-2,-1)
Click here to see answer by MathLover1(20850) About Me 

Question 1046215: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x)=x^2-2x-5
Click here to see answer by ikleyn(52794) About Me 
Question 1046215: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. f(x)=x^2-2x-5
Click here to see answer by solver91311(24713) About Me 

Question 1046233: If the input is 0,1,2,4 and output is 4,3,2,0 what's the rule
Click here to see answer by josgarithmetic(39618) About Me 

Question 1046277: Use the quadratic formula and a calculator to find all real solutions, correct to three decimals. (If there is no real solution, enter NO REAL SOLUTION.)
x2 − 0.018x − 0.068 = 0

Click here to see answer by ikleyn(52794) About Me 

Question 1046278: Domain and range of -2x^2+3
Click here to see answer by josgarithmetic(39618) About Me 

Question 1046302: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = -x2 - 2x + 2
a. {-1, -2}
b. {1, 2}
c. {-1, 2}
d. {-2, 1}

Click here to see answer by rothauserc(4718) About Me 

Question 1046334: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = -x^2- 2x + 2
a. Minimum-1
b. Maximum 3
c. Minimum 3
d. Maximum-1

Click here to see answer by MathLover1(20850) About Me 

Question 1046280: Prove the statement using the ε, δ definition of a limit.
lim x^2=0
x→0
Given ε > 0, we need δ > 0 such that if 0 < |x − 0| <  δ, then |x2 − 0| <  ε⇔ ____________ <  ε ⇔
|x| < _____________. Take δ = ____________.Then 0 < |x − 0| <  δ right double arrow implies
|x2 − 0| < ε. Thus,
lim
x→0 x^2 = 0 by the definition of a limit.

Click here to see answer by robertb(5830) About Me 

Question 1046483: Find functions f and g so that the composition of f and g is H.
H(x) = |4 - 3x^2|
Possible answer:
a. f(x) = x2 ; g(x) = 4 - 3|x|
b. f(x) = 4 - 3|x|; g(x) = x2
c. f(x) = |x|; g(x) = 4 - 3x2
d. f(x) = 4 - 3x2 ; g(x) = |x|

Click here to see answer by josgarithmetic(39618) About Me 

Question 1046530: A function f(x) contains points A, B, C, and D
A(-2,0)
B(0,2)
C(3,-1)
D(4,4)
The function is transformed to create g(x)
Such that g(x) = f (1/2 x) - 4.
Complete the table to show coordinates of points A', B', C', and D'
A'
B'
C'
D'

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1046616: For each of the following, fill in the table of values.
a. f(X) = lxl
(It has all of the X values listed. They are as follows: -3, -2, -1, zero, one, two, three. I have to fill in the, that is the output: f(X). How do I do this?
b. F(X) = x^3
C. f(X) = 2^x

Click here to see answer by Alan3354(69443) About Me 

Question 1046604: If the following defines a one-to-one function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
Possible Answer:
a. {(7, 6), (9, 10), (6, 10), (7, 8)}
b. {(7, 6), (6, 10), (6, 12), (7, 8)}
c. Not a one-to-one function
d. {(6, 6), (7, 12), (8, 10), (9, 8)}

Click here to see answer by MathLover1(20850) About Me 

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