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

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Question 1092142: Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = 8/(x^2) + 2

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

Question 1092143: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x) = x+4/6 and g(x) = 6x - 4

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Question 1092366: Give the domain and range of the function y=(x^2-3x-4)/(x+1) Show Solution
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Question 1092415: What is the domain of g(x)?

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Question 1092458: Determine the maximal domains of the functions f(x) = 1/x−5
and g(x) =
√8-2x

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Question 1092459: What are the coordinates of centre of the circle given by the equation x square -4x +y square +4y=0
it looks something like this
x
2 -4x+y
2 + 4y = 0?
I just can't get the square in top of the x and y
thank you :0

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Question 1092549: f(-5) = 4x-7
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Question 1092613: Express the function f(x) = abs(x) + abs(x-2) without using absolute value signs.
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Question 1092916: Expand the following using either the Binomial Theorem or Pascal’s Triangle. with steps please
(2x + 4)^3

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Question 1092864: Expand the following using either the Binomial Theorem or Pascal’s Triangle.
(2x + 4)^3

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Question 1092840: A family wants to build a fence around a rectangular area of their backyard using their house as one side of the rectangle. The family has $2400 to spend on the fence and is considering using either a fence that costs $50 a yard or a fence that cost $60 a yard.
Suppose the family builds the fence using the $60 yard fence. Let x be the width of the enclosed rectangle. Using a function for the area of the enclosed rectangle, find the maximum area.

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Question 1093100: I need help finding the product and the sum and difference of these two functions f(x)=x-6 g(x)=4x-4 I am asked to write a expression for (g*f)(x) and (g-f)(x) and evaluate (g+f)(4) can someone please help me and explain how to do this so I understand?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1093114: I don't understand how to simplify a function when trying to find out if it's odd, even, or neither.
Click here to see answer by addingup(3677) About Me 

Question 1093151: -4-8+6-4-3
Click here to see answer by Alan3354(69443) About Me 

Question 1093339: Without graphing state the domain and range for the following equations.
a) y=2(4x+1)+3
what I tried on this question...
x and y table
x:-3,-2,-1, 0,1
y:-8,-6,-4,-2,0
for my domain I wrote xer and yer because, staright lines always have the domain of xer and yer i think.
b)+y=4+sqrt%28+1%2F3x%2B1+%29-2+.
I mainly need help with this question. Also I dont understand the domain and range with equations.

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Question 1093460: what makes something a non function
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Question 1093548: The perimeter of a square is four times its side. translate it into verbal expression in algebraic expression
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Question 1093638: What is the value of f(-2)
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Question 1093648: Martin earns $7.50 Per hour proofreading ads at a local newspaper. His weekly wage w can be described by the equation w= 7.50 where h is the number of hours worked. Write an equation in function notation

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Question 1093784: How do you solve functions like these?
f(x) = x3

f(x + Δx) − f(x)
Δx
(Δx ≠ 0)

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Question 1093928: 1).<(1,2) (0,2) (1,2) (0,3)
2).<2,1) (2,2) (-2,3) (3,2)
3).<3,5) (-3,8) (2,4) (-2,4
4).<(0,3) (1,2) (-1,3) (3,2)(3,2)
5).(0,5) (0,6) (3,2) (1,2).
Hiw to solve these functions..thank you

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

Question 1094045: Use the remainder theorem to find
P(−3) for =P(x)+2x^3+6x^2+6
.
Specifically, give the quotient and the remainder for the associated division and the value of
P(−3)
.

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Question 1094008: The domain of the function h(x) = sqrt{25-x^2}+sqrt{-(x-2)} is an interval of what width?

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Question 1094088: if f(x)=2x^2+5 sqrt(x-2) complete the following statement(round your answer to the nearest hundredth): f(0)=
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Question 1094012: If f(x) = x^3 - 6x^2 + 3x - 4, and g(x) = x^3 + 5x^2 + 9x - 2, then find the constant term of f(g(x)).
Click here to see answer by ikleyn(52747) About Me 

Question 1094122: -8+6×4
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1094153: Using the graph of f%28x%29=x, write an equation for each function whose graph is shown. Each transformation includes only reflections or expansions/compressions


a) graph%28300%2C200%2C-3%2C+3%2C+-5%2C+2%2C+%284x%29%29 (goes through the point (-1, -4))
b) graph%28300%2C200%2C-6%2C+3%2C+-2%2C+4%2C+%28-3x%2F5%29%29 (goes through the point (-5, 3))

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

Question 1094172: f(x)=-4x+5. Find a simplify f(x+2)

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Question 1094172: f(x)=-4x+5. Find a simplify f(x+2)

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Question 1094324: Determine whether each relation is a function.
y=3x+2y

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Question 1094324: Determine whether each relation is a function.
y=3x+2y

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Question 1094380: How do i determine the intervals where the function is increasing and where it is decreasing in
f(x) = 2x^3 + 2x^2 - 2x + 2

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Question 1094380: How do i determine the intervals where the function is increasing and where it is decreasing in
f(x) = 2x^3 + 2x^2 - 2x + 2

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Question 1094380: How do i determine the intervals where the function is increasing and where it is decreasing in
f(x) = 2x^3 + 2x^2 - 2x + 2

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

Question 1094396: Let f(x) = 3x-2 and g(x) = 5/(3x), for x does not equal 0.
Find f^-1(x).
Show that ( g ° f^-1) (x) = 5/(x+2).
Let h(x) = 5/x+2, for x is greater or equal to 0. The graph of h has a horizontal asymptote at y=0.
Find the y-intercept of the graph of h.
Hence, sketch the graph of h.
Find the graph of h^-1, write down the x-intercept.
For the graph of h^-1, write down the equation of the vertical asymptote.
Given that h^-1(a)=3, find the value of a.

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

Question 1094430: An equation that defines y as a function of x is given. a. Solve for y in terms of x and
replace y with the function notation​ f(x). b. Find​ f(3).

y plus 2 x squared equals 5 minus 3 y+2x2=5−3x

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Question 1094464: What two numbers add to -5 and multiply to 6
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Question 1094464: What two numbers add to -5 and multiply to 6
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Question 1094464: What two numbers add to -5 and multiply to 6
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Question 1094399: How do you graph y=f(-x)?
Also, where is the section where you can post function questionspthat still in include graphing?

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Question 1094399: How do you graph y=f(-x)?
Also, where is the section where you can post function questionspthat still in include graphing?

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

Question 1094388: I am asked to describe the relation and make a table values and find the domain and range and describe the function transformation as if i was graphing it and solve and evauate and solve for x . The function is f(x)-4 ? Can someone please help me?
Click here to see answer by MathTherapy(10549) About Me 

Question 1094526: Suppose f(x) = x^2+1 and g(x)=1-x. Then (fog)(-2) = ?
Is it alright to ask for a solution for this, please? I have another item in my assignment similar to this that I want to be able to solve myself. Thank you!

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Question 1094525: If f(x)= -2/x+3, what would be the simplest form of f(x+h)-f(x)/h assuming that h ≠ 0
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Question 1094480: If g(x)=x^2+5x, then what is the value of g(-2)+2.
Please explain in details.

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