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

Tutors Answer Your Questions about Functions (FREE)

Question 1022122: If h(x)=2*g(x) what is h(4)?
Click here to see answer by richard1234(7193)

Question 1022135: A country's population (in millions) t years after the year 2000 is given by: P(t)= 6*2^x/50. Find the country's population in 1900.
* x/50 is the exponent and 2 is the base***
Click here to see answer by josgarithmetic(39613)

Question 1022213: how can I find the domain and range of the function:
y=(under radical)x+2 then out of radical subtracting 3?
y= root x+2 close off radical -3
I hope that either of these phrasings are understandable.
If I would attempt to find the domain, would I make it x is less than or equal to -2 or should it be the other way around, with x is greater than or equal to +2?
I'm not so sure of when signs and symbols need to be switched, and for the range I'm not sure at all how to find it.
If you could please get back to me as soon as possible that would be great!
Click here to see answer by MathLover1(20849)

Question 1022211: I was given these sets: {(5,2), (5,6), (9,2), (9,6)}
{(-9,-3), (3,5), (9,9), (5,5)}
and told to determine whether the relation is a function. I must also "give domain and the range of the relation." Any help would be very much appreciated. Thank you.
Click here to see answer by MathLover1(20849)

Question 1022217: If a function, f(x) is shifted to the left four units, what will the transformed function look like?
Click here to see answer by Edwin McCravy(20054)

Question 1022220: how do you solve for the domain of f(x) = x/radical 9-x^2 ? Please provide steps.
Click here to see answer by Boreal(15235)

Question 1022220: how do you solve for the domain of f(x) = x/radical 9-x^2 ? Please provide steps.
Click here to see answer by macston(5194)

Question 1022260: please show explanation for this problems
1)if f(x) = ax+b, f(0) = 2, and f(1)=-2
2} The set {x:x is an integer and 1x - 11 < 2} equals ?
3) The inverse of the function y = 2x is ?
Click here to see answer by rothauserc(4718)

Question 1022368: A minor league baseball team plays 90 games in a season. if the team won 14 more that three times as many gmaes as they lost, how many wins and losses did the team have?
Click here to see answer by macston(5194)

Question 1022367: Hello. I was given these problems: x2(squared) + y = 16
x2(squared) + y2(squared) = 64
and told to determine whether or not this equation "defines y as a function of x." Would be very thankful for some help. Thanks for reading.
Click here to see answer by josgarithmetic(39613)

Question 1022330: lilly and rosie are sisters. the sum of their age is 19 and the positive difference of their ages is 9. set up a system of equations involving lilly's age, L, and Rosies age, R, assuming that lilly is the older child. solve the system to find their ages.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1022424: disciss continuity and differentibility at x=1
f(x)={ x if 0<=x<=1 }

2x_1 if 1<=x<=2
Click here to see answer by solver91311(24713)

Question 1022426: disciss continuity and differentibility at x=a

f(x)= { (x-a) sin (1/x_a) if x not equal to a

0 if x=a
Click here to see answer by solver91311(24713)

Question 1022422:
Click here to see answer by FrankM(1040)

Question 1022422:
Click here to see answer by fractalier(6550)

Question 1022629: Find the domain and range of the exponential function h(x) = �343^x .
As x decreases, does h increase or decrease? Explain.
As x increases, does h increase or decrease? Explain.

Click here to see answer by rothauserc(4718)

Question 1022618: Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
6x + 2y = 12
-3x + y = 8
3y = 9x
y = -1/3x
Click here to see answer by rothauserc(4718)

Question 1022639: Which equation is true for the function h(x) = 16^x?
h(�1.25) = �0.5
h(�0.5) = 0.25
h(0.75) = 12
h(1.25) = 20
Click here to see answer by stanbon(75887)

Question 1022718: P(1/P)^2
Click here to see answer by fractalier(6550)

Question 1022795: Thank you guys!
If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).
A:23
B:47
C:82
D:90
Click here to see answer by FrankM(1040)

Question 1022939: A window is to be formed by placing an isosceles right triangle on top of a rectangle as shown in the figure below. If the overall height of the window is 4 ft tall, express the area, A, of the window, in terms of its width w.

what I have so far:
Area of triangle: A=bh/2
Area of rectangle: A=lw
I know I have to add them but do I have to add the 4ft in there?
Click here to see answer by addingup(3677)

Question 1023126: I am just starting to learn this. Majorly confused. No access to teacher for 10 days. (suspension) I'm hoping if I get an answer and explaination of a few that I can complete the other 20-25 questions.
Find three ordered pairs that are solutions of the equation.
Problem #1. x = -2 Problem #16. y = -6 Problem #22. x = 0
Rewrite the equation in function form.
Problem #12 -2x - 4y = 3 Answer?
Problem #15 4x - 6y = 12 Answer?
Problem #18 4x + 2y = 1 Answer? 4*x + 2*y -1 = 0 ??????
Is this function form?? I'm so lost.
Thanks.. Nissy..
Click here to see answer by josgarithmetic(39613)

Question 1023391: Please help with these questions
1. Let f (x) = 5x^2� 6 and g(x) = x � 2.
(a) Find the composite function ) ( f o g)(x) and simplify. Show work.
(b) Find ( f og )(1)

2. Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in
dollars, is given by
P(x) = �0.002 x^2 + 4.1x � 1200
(a) What is the company�s profit if 600 donuts are made daily?
(b) How many donuts should be made daily in order to maximize the company�s profit?
Click here to see answer by josgarithmetic(39613)

Question 1023390: 1. Find the equation for a line which passes through the points (1, 8) and (4, �1) . Write the
equation in slope-intercept form. Show work.
A salesperson earns a base salary of $1,540 per month and a commission of 7.6% on the
amount of sales. If the salesperson has a paycheck of $4,291.20 for one month, what was the
amount of sales for the month?

Click here to see answer by josgarithmetic(39613)

Question 1023388: 1. Let f (x) = \sqrt{x+5} and g(x) = x-3 .
(a) Find (f/g)(-4) show work
(b) Find the domain of the quotient function
f/g
. Explain

2. Points (3, 2) and (5, �6) are endpoints of the diameter of a circle.
(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.
Show work.
(b) What is the center point C of the circle?
(c) Given the point C you found in part (b), state the point symmetric to C about the y-axis.
please help with this question.
Click here to see answer by solver91311(24713)

Question 1023375: Letf(x)=x2 +8x+23.
(a) Find the vertex.
(b) State the range of the function.
(c) On what interval is the function increasing?
Click here to see answer by josgarithmetic(39613)

Question 1023372: Suppose that for a function f , the equation f (x) = 0 has exactly one real-number solution. Which of the following statements MUST be true?
a.f is a linear function.
b.f (x) ≥ 0 for all x in the domain of f.
c.f is an invertible function.
d.f has exactly one x-intercept.
Click here to see answer by robertb(5830)

Question 1023479: Find the equation for a line which passes through the points (1, 8) and (4, �1) . Write the
equation in slope-intercept form
kindly please help me with this
Click here to see answer by Cromlix(4381)

Question 1023480: A salesperson earns a base salary of $1,540 per month and a commission of 7.6% on the
amount of sales. If the salesperson has a paycheck of $4,291.20 for one month, what was the
amount of sales for the month?
Click here to see answer by Cromlix(4381)

Question 1023491: Please show work
Letf(x)=5x2 �6 and g(x)=x�2.
(a) Find the composite function ( f o g)(x) and simplify. Show work.
(b)Find (f og)(1)
Click here to see answer by Cromlix(4381)

Question 1023498: Consider the function g(x) = -|x-3|+2. Describe the transformation in the correct order required to get from f(x)= |x| to g(x)?

Click here to see answer by Edwin McCravy(20054)

Question 1023535: f(x) = 3x and g(x) = x/3 f(g(x)) =?
Click here to see answer by robertb(5830)

Question 1023492: Giventhefunction f(x)=((1)/(3))x+8, find a formula for the inverse function
Click here to see answer by josgarithmetic(39613)

Question 1023586: Let f (x) = 5x^2� 6 and g(x) = x � 2.
(a) Find the composite function ) ( f o g)(x) and simplify. Show work.
(b) Find ( f o g )(1).
Click here to see answer by Cromlix(4381)

Question 1023616: Consider the polynomial P(x), shown in both standard form and factored form.
P(x)=(1/5)x^4 −(3/5)x^3 −3x^2 +(19/5)x+6=1(x+3)(x+1)(x−2)(x−5)
a. State the y-intercept
b. Please graph
Click here to see answer by ankor@dixie-net.com(22740)

Question 1023737: A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
Click here to see answer by Alan3354(69443)

Question 1023740: What is the value of x is f (x)>g (x) where x>0
Click here to see answer by Fombitz(32388)

Question 1023740: What is the value of x is f (x)>g (x) where x>0
Click here to see answer by fractalier(6550)

Question 1023487: Please show work

Let f(x)= sqrt(x+5) and g(x)=x−3.
(a) Find ((f)/(g))(− 4) . Show work.
(b) Find the domain of the quotient function f . Explain.
Click here to see answer by Fombitz(32388)

Question 1023869: Solve 5x sqaredt6x devided by1 equals 0
Click here to see answer by Alan3354(69443)

Question 1023909: THIS IS AN ALGEBRAIC FUNCTIONS VARIATIONS PROBLEM. There is also a constant k that is part of the equation I have to create. Can someone go through the logic for this problem?
Kepler's Third Law states that the square of time T required for a planet to complete one orbit around the sun (the period, that is, the length of one planetary year) is directly proportional to the cube of average distance d of the planet from the sun. For the planet Earth, assume d = 93 x 10^6 miles an T = 365 days. Find a) the period of Mars, given that Mars is approximately 1.5 times as distant from the sun as Earth; b) the average distance of Venus from the sun, given that the period of Venus is approximately 223 Earth days.
The units for Part a are in days and the units for part b are in miles.

Click here to see answer by josgarithmetic(39613)

Question 1023927: Find two points on the curve
(C)�� x^2 y+y^4 +6=4+2x,
where x = 1. At each of those points , find an equation of the tangent line to C.
Click here to see answer by Fombitz(32388)

Question 1024199: 1. Given f(x)=x^3-8, if f(x)=0, find x.
A. 2
B. -2
C. 2 or -2
D. 0
E. None of the above
2. If f^-1(6)=-8, find f(-8).
A. -1
B. -8
C. 0
D. 6
E. None of the above
3. If f(5)=−4and f(2)=5,find f−1(5).
A. -2
B. 5
C. 2
D. -4
E. None of the above
4. For each of the following functions, write an equation for the inverse function y = f −1(x).
f(x)=2x^3+1
5. For each of the following functions, write an equation for the inverse function y = f −1(x).
f(x)=5/7-x
Click here to see answer by robertb(5830)

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