Tutors Answer Your Questions about Functions (FREE)
Question 667304: Determine the domain of the rational function.
1) g(x)=3x+1/3x²-17x-6
Write each rational expression in lowest terms.
2) 24n-4n²/2n²-9n-18
3) 2p²-pq-10q²/3p²+2pq-8q²
Perform the indicated operations.
4) a²-16/12a²+48a × 6a³-30a²/a²+2a-24
Click here to see answer by ewatrrr(24785)   |
Question 668382: Find the inverse of f(x)=2^x. Here is where I went with this. Change f(x) to y so it would read y=2^x. Interchange the y and x to get x=2^y. I don't know how to write this on here, but you would take the y square root of x and the y square root of 2^y to get y square root of x=2. This is where I get stuck. Thanks!
Click here to see answer by Alan3354(69443)  |
Question 668382: Find the inverse of f(x)=2^x. Here is where I went with this. Change f(x) to y so it would read y=2^x. Interchange the y and x to get x=2^y. I don't know how to write this on here, but you would take the y square root of x and the y square root of 2^y to get y square root of x=2. This is where I get stuck. Thanks!
Click here to see answer by lynnlo(4176) |
Question 668382: Find the inverse of f(x)=2^x. Here is where I went with this. Change f(x) to y so it would read y=2^x. Interchange the y and x to get x=2^y. I don't know how to write this on here, but you would take the y square root of x and the y square root of 2^y to get y square root of x=2. This is where I get stuck. Thanks!
Click here to see answer by Edwin McCravy(20054)  |
Question 668394: State the domain and range of f(x)=2^x. Here is what I did.....The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2 for the y which would be the range.
I understand that the domain is all real numbers, but I still have to be able to state the entire range of the function. Thanks!
Click here to see answer by stanbon(75887) |
Question 668432: what is the value of the range of the function f(x)= xsquared+2 for the domain value 1/4?...please show work...a lil confused..
my choices are y=2...or y=2 1/4 or y= 2 1/8 or y= 2 1/16...I am thinking it is B. y=2 1/4 but not sure
Click here to see answer by ewatrrr(24785) |
Question 668903: Describe the effect of changes to the constant b in f(x)=|x|+b. This is what I incorrectly came up with.....The effect of changes to the constant b in f(x) = |x| + b show that the function is increasing or staying constant. This is because any number you enter for x and b will give you an increased slant or constant in the graph. You are finding the absolute value of x so that will give you a positive number. You can add any positive number as b and it will increase the slant of the graph. If you use a negative number as b then the graph will stay constant.
Click here to see answer by Theo(13342)  |
Question 669024: What is a quartic function with only the two real zeros given?
x = -4 and x = -1
A. y = x4 + 5x3 + 5x2 + 5x + 4
B. y = x4 - 5x3 - 5x2 - 5x - 4
C. y = -x4 + 5x3 + 5x2 + 5x + 4
D. y = x4 + 5x3 + 5x2 + 5x - 5
Click here to see answer by KMST(5328)  |
Question 669151: Hello,
I have been trying for hours to help my son with his Algebra I homework and I am stuck on one problem. The problem is this:
If f(x)=4x-2 and g(x)=x^2+2, then find the following g(2)=________
This is what I have done thus far:
1. f(g(1))
g(1)=1^2+2 (1)
g(1)=3
f(g(1))=f(3)
f(3)=4(3)-2
f(3)=12-2
f(g(1))=10
2. g(f(1))
f(1)=4(10)-2
f(1)=40-2
f(1)=8
g(f(1)=g(38)
g(38)=38^2-2(1)
g(38)=76-2
g(38)=74
3. f(g(x))=f(x^2+2x)
f(x^2+2)=4(x^2+2x)-2=8x^2+8x-2
Is this correct?
Click here to see answer by ReadingBoosters(3246) |
Question 669151: Hello,
I have been trying for hours to help my son with his Algebra I homework and I am stuck on one problem. The problem is this:
If f(x)=4x-2 and g(x)=x^2+2, then find the following g(2)=________
This is what I have done thus far:
1. f(g(1))
g(1)=1^2+2 (1)
g(1)=3
f(g(1))=f(3)
f(3)=4(3)-2
f(3)=12-2
f(g(1))=10
2. g(f(1))
f(1)=4(10)-2
f(1)=40-2
f(1)=8
g(f(1)=g(38)
g(38)=38^2-2(1)
g(38)=76-2
g(38)=74
3. f(g(x))=f(x^2+2x)
f(x^2+2)=4(x^2+2x)-2=8x^2+8x-2
Is this correct?
Click here to see answer by MathTherapy(10549)  |
Question 669391: how to solve for h if b=.26h-18.85
Anthropologists can estimate the height of a woman by measuring the length of her radius bone. The length (in cm) of the radius bone "b" is given by b=.26h-18.85 where "h" is the height in cm of the woman.
Click here to see answer by stanbon(75887) |
Question 669391: how to solve for h if b=.26h-18.85
Anthropologists can estimate the height of a woman by measuring the length of her radius bone. The length (in cm) of the radius bone "b" is given by b=.26h-18.85 where "h" is the height in cm of the woman.
Click here to see answer by ReadingBoosters(3246) |
Question 667867: (3) Suppose h is a function that takes a real number x and performs the following three steps in the order given: (1) square root; (2) make the quantity the denominator of a fraction with numerator 2; (3) subtract 9. Find an expression for
h(x)
and find its domain.
Click here to see answer by ReadingBoosters(3246) |
|
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
|
