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Question 1180504: Algebraically determine the point(s) of intersection between the following functions.
f(x) = 2x^2+3
g(x) = −3x+8
Click here to see answer by josgarithmetic(39613)

Question 1180766: Determine a possible equation of a exponential function that satisfy the following properties. Include a sketch of the function in your solution.
a) Its y-intercept is 2
b) It has a horizontal asymptote at y = 5
c) it is always increasing
Click here to see answer by ikleyn(52750)

Question 1180765: The domain of a function f(x) is {x∈R|−4 ≤ x ≤ 16}. The range of f(x) is
{y∈R| −8 ≤ y ≤ 12}
Given g(x) = 3/4f(−x+3) + 5, what is the domain and range of g(x) ?
Click here to see answer by ikleyn(52750)

Question 1180811: For the equations f(x) = (3)^x and g(x) = -(3)^2x+6-5, what are the transformations applied to f(x) to obtain g(x)?
Click here to see answer by MathLover1(20849)

Question 1180811: For the equations f(x) = (3)^x and g(x) = -(3)^2x+6-5, what are the transformations applied to f(x) to obtain g(x)?
Click here to see answer by greenestamps(13195)

Question 1180811: For the equations f(x) = (3)^x and g(x) = -(3)^2x+6-5, what are the transformations applied to f(x) to obtain g(x)?
Click here to see answer by ikleyn(52750)

Question 1180810: The equation f(x) = ac^x+d can be used to represent the following function. Determine the values of a, c, and d algebraically. Show all your work.
Please view graph here;
https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing
Click here to see answer by greenestamps(13195)

Question 1180950: An exponential function of the form passes through the points (2,15) and (4, 15/4) . Find an equation of f(x).

Click here to see answer by ikleyn(52750)

Question 1180950: An exponential function of the form passes through the points (2,15) and (4, 15/4) . Find an equation of f(x).

Click here to see answer by greenestamps(13195)

Question 1180949: Express the function in the form f(x) = 5(1/3)^2x-1 in the form f(x) = a•d^-x

Click here to see answer by greenestamps(13195)

Question 1181025: g(x) =3-8x^2 /2
Show that
(gr ◦ gr^-1)(x) = x for x ∈ Dgr^−1
and
(gr^-1◦ gr)(x) = x for x ∈ Dgr

Click here to see answer by ikleyn(52750)

Question 1181042: What is the inverse of this function

y = 3- \frac{ 3 }{ 2 } \sqrt{ x+4 }
Click here to see answer by MathLover1(20849)

Question 1181024: F(x) = 3/3-2x and g(x)=2x/2x-3
Determine f×g and give the set of Dt x g or it's domain
Click here to see answer by MathLover1(20849)

Question 1181106: The population P of a certain small-town t years from now is
predicted to be
3
( 2)
10000 ( ) 35000

 
t
p t . In your own method estimate
the population of the town in the long run
Click here to see answer by greenestamps(13195)

Question 1181160: Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 53 feet long and weigh 23 tons. Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age.
a.) If the relation between L. and t is linear, express L. in terms of t.

b.) What is the daily increase in the length of a young whale? (Use 1 month= 30 days)
???
c.) IF W and t are linearly related, express W in terms of t.
d.) What is the daily increase in the weight of a young whale?

Click here to see answer by ikleyn(52750)

Question 1181185: An exponential function of the form f(x) = ac^x passes through the points (2,15) and (4, 15/4) . Find an equation of f(x).
Click here to see answer by Solver92311(821)

Question 1181192: g(x)=\sqrt { ( x - 3 ) ^ { 2 } }
l(x)= \frac { 1 } { \sqrt { x } }
What Is the D l/g of this two functions
Click here to see answer by MathLover1(20849)

Question 1181190: Use quotient rule to differentiate wrt to x
1/x^3 + 5
Click here to see answer by Boreal(15235)

Question 1181267: Jenny wants to save $600 to buy a TV. She saves $18 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function.
A(w)=600-18w
Answer the following questions.
(a) How much money does Jenny still need after 5 weeks?
Dollar:
(b) If Jenny still needs $276, how many weeks has she been saving?
Weeks:
Click here to see answer by ikleyn(52750)

Question 1181302: Given the equation: f(x)= -2(x-1)^2+4, Determine the equation of its inverse. Restrict the domain of f(x) so that it’s inverse is a function. Then, state the new equation of its inverse.
Click here to see answer by MathLover1(20849)

Question 1181315: If Q(x)=f(g(x)−h(x)) andf(x)=3x , g(x)=log2(x) , h(x) =log2(x−4). Find the fully simplified expression for Q(x) and the value of Q(8).
Click here to see answer by MathLover1(20849)

Question 1181760: Hi!
I'm stuck on this problem and I'm not sure how to go about it.
Can anybody please help me solve this?
Suppose f(x) = x^2 - 5x + c and g(x) = f(x)/4 - 4.
Find f(2) if g(-1) = 1
Click here to see answer by MathLover1(20849)

Question 1181921: Let f(x) = x^2 + kx and g(x)=x + k. The graphs of f and g intersect at two distinct points. Find the value(s) of k.
Click here to see answer by josgarithmetic(39613)

Question 1181921: Let f(x) = x^2 + kx and g(x)=x + k. The graphs of f and g intersect at two distinct points. Find the value(s) of k.
Click here to see answer by ikleyn(52750)

Question 1181925: In the expansion of (2x+1)^n, the coefficient of the x^2 term is 40n , where n is a positive integer. Find the value of n.
Click here to see answer by ikleyn(52750)

Question 1181924: The first three terms of a geometric sequence are t1 = 32, t2 = -16, t3 = 8. Find the values for r, t6 and s6.
Click here to see answer by ikleyn(52750)

Question 1181923: On a small island there were 32768 deer and only 128 wolves. Statistics gathered revealed that the wolf population doubled every 3 years and the deer population halved every 6 years. How many years did it take for the wolf population to overtake the deer population? Create an algebraic solution to the problem.
Click here to see answer by Boreal(15235)

Question 1181920:
b) Let g be a function such that g^-1 exists for all real numbers. Given that g(9) = 4, find g(g^-1(4))

Click here to see answer by Solver92311(821)

Question 1181978: I need help solving this please.
The domain of a function is [-2,8) and the range is(2,♾). Using 2 sentences explain what values are included in the domain and range.
Click here to see answer by ikleyn(52750)

Question 1182118: The equation sec x=−0.5 does NOT have a solution because
it means that cos x = −2 which is outside the range
of the negative value on the right side

the equation is not well formulated

it means that sin x = −2 which is outside the range
Click here to see answer by math_tutor2020(3816)

Question 1182117: The equation sin x = csc x ______
has two solutions with the interval 0° ≤ x ≤ 360°
has no solution
has two solutions within the interval 0° ≤ x ≤ 180°
is an identity
Click here to see answer by math_tutor2020(3816)

Question 1182143: Which of the following values of x is a solution to the equation sinx + cos x = 1? Think about the graphs of sine and cosine separately.
x=45°
x=90°
x=135°
x=180°

Click here to see answer by Edwin McCravy(20054)

Question 1182145: Given 0≤θ≤360, solve 2sinθcosθ=cosθ
Include all relevant diagrams and graphs in this solution.
Click here to see answer by Edwin McCravy(20054)

Question 1182144: What is the maximum value of the transformed function: g(x)=−3cos[2(x−60°)]+3?
-6
3
6
-3
Click here to see answer by ikleyn(52750)

Question 1182144: What is the maximum value of the transformed function: g(x)=−3cos[2(x−60°)]+3?
-6
3
6
-3
Click here to see answer by greenestamps(13195)

Question 1182116: The population of a caribou herd varies sinusoidally with a period of one year. The population is at a minimum at the beginning of the year when the population is about 2000 animals. The population is at a maximum of 6000 animals after 6 months. How many caribou are there expected to be at the end of 1 months? Round to the nearest whole number.
Click here to see answer by greenestamps(13195)

Question 1182158: Which of the following is true based for the following periodic function.
a) only a sine function can be used to model this curve
b) f(45) = 0.5
c) The amplitude is 2
d) The period is 60
Graph: https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing
Click here to see answer by greenestamps(13195)

Question 1182157: State the amplitude, period, phase shift, and equation of midline/axis of curve, x and y axis for f(x) = 3cos(1/2x+90) −1
Click here to see answer by greenestamps(13195)

Question 1182247: Given the function g(x) = 2x^2 - 3

Is this statement true or false? g(2) = g(-2)

Click here to see answer by ikleyn(52750)

Question 1182217: The population of a city is 231000. If it is increasing by 19 people per year, estimate the population in 7 years.
Click here to see answer by ikleyn(52750)

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