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

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Question 1040827: If f(x+y) = f(x) + f(y) x€R and y€R then f(0) equals to what
Click here to see answer by ikleyn(52747) About Me 

Question 1040888: Please help me find the vertical shift, phase shift, amplitude, and period, and of this function?
y = 3 cos [2(0+60°)] - 1

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

Question 1040870: What is the vertical shift, amplitude, period, and phase shift of this function?
y = 3 cos [2(0+60°)] - 1

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Question 1041072: f%28x%29=3x%5E3-8x%5E2%2B5x-k
In the polynomial function above, k is a constant. If (x-2) is a factor of f(x). What is the value of k.

Click here to see answer by ikleyn(52747) About Me 

Question 1041073: %28a%2Bb%29x%5E2%2B%28a-2b%29x%2Bk=%28k-1%29x%5E2%2B5x%2B3
In the equation above a, b and k are constants. If the equation is true for all real values of x, what is the value of a?

Click here to see answer by ikleyn(52747) About Me 

Question 1041088: Hi, I'm having trouble figuring out this question:
Determine the domain of the variable "x" in each expression.
1.) 4 / x-5
2.) x / x+4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1041093: What is the expression that gives the solutions of -5+2xsquared+7x+2?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1041053: Let $A(t) = 3- 2t^2 + 4^t$. Find $A(2) - A(1)$.
Click here to see answer by Fombitz(32388) About Me 

Question 1041087: Hi, I'm having trouble figuring out this question:
Determine which of the value(s) given below, if any, must be excluded from the domain of the variable in each expression.
(a) x=3 (b) x=1 (c) x=0 (d) x=-1
1.) x^2 - 1 / x
2.) x / x^2 - 9
3.) x^2 / x^2 + 1
4.) x^2 + 5x - 10 / x^3 - x
Thank you.

Click here to see answer by Boreal(15235) About Me 

Question 1041172: 2xy/y2 - 14/y
Click here to see answer by Alan3354(69443) About Me 

Question 1041227: What is the remainder when x%5E2-3x%2B5 is divided by x-1?
A)1
B)3
C)4
D)5

Click here to see answer by rothauserc(4718) About Me 
Question 1041227: What is the remainder when x%5E2-3x%2B5 is divided by x-1?
A)1
B)3
C)4
D)5

Click here to see answer by MathTherapy(10549) About Me 

Question 1041226: If x%5E2%2Bkx%2Bk%2B1=%28x%2Bp%29%28x%2B2%29 for all values of x and k and p are constants, what is the value of k?
A)5
B)4
c)3
d)2

Click here to see answer by rothauserc(4718) About Me 
Question 1041226: If x%5E2%2Bkx%2Bk%2B1=%28x%2Bp%29%28x%2B2%29 for all values of x and k and p are constants, what is the value of k?
A)5
B)4
c)3
d)2

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1041303: P=4s;s is 8.8 in
Click here to see answer by Alan3354(69443) About Me 

Question 1041286: The function f is defined by f%28x%29=3x%5E3-2x%5E2%2Bcx, where c is a constant. The graph of f has three x-intercepts in the xy-plane.They are the points%28-1%2F3.0%29, (1,0),and(p,0).What is the value of p?
A)1
B)1%2F3
C)-1%2F3
D)0

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1041338: find the average rate of change for the function between the given values
f(x)= 3/x-2 from 4 to 7

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

Question 1041425: Given f(x)=4x^2-3x+3 Find f(x-h)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1041663: A poster with a total area of 500 sq inch must have a 2 inch margin at the sides and at the bottom and a 4 inch margin at the top. If x is the length of the bottom of the poster, express the area of the printed matter in terms of x.
Click here to see answer by Fombitz(32388) About Me 

Question 1041662: A right circular cylinder is inscribed in a cone with a height of 20 cm and base radius of 15 cm. If r is the radius of the base of the cylinder, express the volume of the cylinder as a function of r.
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Question 1041678: Show that A(2,3) B(-2,-1) and C(-3,-2) are collinear points
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Question 1041678: Show that A(2,3) B(-2,-1) and C(-3,-2) are collinear points
Click here to see answer by MathTherapy(10549) About Me 

Question 1041823: A retail store buys 40 VCRs from a distributor at a cost of $175 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.
Already know the answer. Just need help figuring out how to solve it :)

Click here to see answer by jorel555(1290) About Me 

Question 1041912: For f%28x%29+=+2%2F%28x-3%29 , solve for the domain and range in interval notation
I found already the domain:
(-infinity,3) u (3,+infinity)
and i'm confident that it is correct.
What confuses me is finding the Range.
I'm not confident on my answer:
(- infinity , 0] u [0, 3) u (3, + infinity)
can you give me the correct range in INTERVAL NOTATION and explain it efficiently? thanks.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1041914: For f%28x%29+=+2%2F%28x-3%29 , solve for the domain and range in interval notation
I found already the domain:
(-infinity,3) u (3,+infinity)
and i'm confident that it is correct.
What confuses me is finding the Range.
I'm not confident on my answer:
(- infinity , 2] u [2, + infinity)
for the + infinity there, i mean it to be positive but approaching zero making 2 as the maximum output that can be obtained in this function.
I'm lost in that part. so can you give me the correct range in INTERVAL NOTATION and explain it efficiently? thanks.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1041899: Find the rangs of : (1) f (x) = |x| + |x-1|
(2) f (x) = sinx÷1+ cosx (3) f(x) = square root of 5-4x-x^2

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Question 1041965: f(x)=-8x+6 f(-3)
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Question 1042112: Determine the domain of:
G(x) = (x^5-5) / (x^4 + 12x^3 + 60x^2 + 50x - 125)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1041898: Find domain and range of : {(x, x^2 - 1 ÷ x - 1 ): x belongs to R , x is not equal to 1 }

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Question 1041898: Find domain and range of : {(x, x^2 - 1 ÷ x - 1 ): x belongs to R , x is not equal to 1 }

Click here to see answer by ikleyn(52747) About Me 

Question 1042127: Use the graph y=f(x) to estimate the value(s) of x when f(x)=2
Click here to see answer by josgarithmetic(39613) About Me 

Question 1042129: Use the graph y=f(x) to find all the values for which f(x)=-1
Click here to see answer by solver91311(24713) About Me 

Question 1042255: A type of aquatic bird known as a cormorant is flying over open water and accidentally drops a small fish from a height of 30 feet. The distance the fish is from the water as it falls can be described by the function h(t)=-16t^2+30 where t= time in seconds. A seagull spies the falling fish and flies along a straight line to intercept the fish. His line of flight represented by the linear equation g(t)=-8^t+15
PART 1 After how many seconds does the seagull catch the falling fish?
PART 2 After the seagull catches the fish he changes his travel path to k(t)=-2t+12.The cormorant chases the seagull in an attempt to try to win back the fish,descending along the path -t^2+15.How many feet above the water will the cormorant catch up to the seagull?

Click here to see answer by ikleyn(52747) About Me 
Question 1042255: A type of aquatic bird known as a cormorant is flying over open water and accidentally drops a small fish from a height of 30 feet. The distance the fish is from the water as it falls can be described by the function h(t)=-16t^2+30 where t= time in seconds. A seagull spies the falling fish and flies along a straight line to intercept the fish. His line of flight represented by the linear equation g(t)=-8^t+15
PART 1 After how many seconds does the seagull catch the falling fish?
PART 2 After the seagull catches the fish he changes his travel path to k(t)=-2t+12.The cormorant chases the seagull in an attempt to try to win back the fish,descending along the path -t^2+15.How many feet above the water will the cormorant catch up to the seagull?

Click here to see answer by Boreal(15235) About Me 

Question 1042471: Give the domain and range of the quadratic function whose graph is described.
The vertex is left parenthesis negative 5 comma negative 6 right parenthesis(−5,−6) and the parabola opens upup.

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Question 1042608: A pendulum 4 feet long travels 10 feet in one direction each swing. What is the angle measure of the swing, as measured in radians?
Click here to see answer by Alan3354(69443) About Me 

Question 1042607: A wheel whose radius measures 18 inches is rotated. If a point on the circumference of the wheel moves through an arc of 10 inches, what is the measure, in radians, of the angle through which a spoke of a wheel travels?
Click here to see answer by Alan3354(69443) About Me 

Question 1042686: The period of a pendulum, T, is known to be a function of the length, L, ie, T=2pi root (L/9.8) where T is measured in seconds and L is measured in meters. Find T(9.8) in terms of pi.
Help, I just don't get what the question is asking for. T(9.8)? What is that? Thanks so much.

Click here to see answer by josmiceli(19441) About Me 

Question 1042694: Find the range of the function:
y=3x^2-6x+5
Help, are we supposed to tell the range just by looking at it?

Click here to see answer by Boreal(15235) About Me 
Question 1042694: Find the range of the function:
y=3x^2-6x+5
Help, are we supposed to tell the range just by looking at it?

Click here to see answer by ikleyn(52747) About Me 

Question 1042657: Please help me solve this question.
Suppose the functions g, h, l are defined as follows:
g(x) = 1/2x -3
h(x) = +sqrt%28%282+-+x%29%29%5E2+%2B+1%2F2+x+
l(x) = 2 - x - 3

1.1 Write down Dg and solve the equation 4^g(x) = 8
1.2 Write down Dg+h and solve the equation g(x) + h(x) = 0
1.3 Write down Dg.l without first calculating g(x).h(x) = 0
1.4 Write down Dl/g without first calculating l(x)/ g(x)
Thanks for your help...

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

Question 1042884: Find the domain of the function (f/g)(x), where f(x)=2x^(2)-x-20 and g(x)=x-5
Click here to see answer by ikleyn(52747) About Me 

Question 1042914: find the y-intercept of the graph in this equation?
9y+9x=-27

Click here to see answer by Fombitz(32388) About Me 
Question 1042914: find the y-intercept of the graph in this equation?
9y+9x=-27

Click here to see answer by ikleyn(52747) About Me 
Question 1042914: find the y-intercept of the graph in this equation?
9y+9x=-27

Click here to see answer by MathTherapy(10549) About Me 

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