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

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Question 1125997: Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=4x-2
S(x)=x+3
Write the expressions for (s*r)(x) and (s-r)(x) and evaluate (s+r)(3)

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Question 1125988: f(x)+4x-5; g(x)=x+3 which is equal to (g(f)(x) a.4x-2 b.4x+7 c.4x+12 d.5x-2
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Question 1126031: Find the equation for a line which passes through the points (9, –2) and (3, 10). Write the
equation in slope-intercept form.

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Question 1126032: Find the exact solutions and simplify as much as possible: 11x^2 + 2 = 10x.
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Question 1126028: Multiply and simplify: (1 – 3i)(7 – 4i).
Write the answer in the form a + bi, where a and b are real numbers.

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Question 1126046: Find the exact solutions and simplify as much as possible: 11x2 + 2 = 10x
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Question 1126035: decide whether f is even, odd, or neither??
f(x)=x^4-3x^2+9

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Question 1126047: Let f (x) = 3x2 + 9 and g(x) = x – 4.
(a) Find the composite function (f*g)(x) and simplify.
(b) Find (f*g)(−1)

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Question 1126056: Sound intensity varies inversely as the square of the distance from the sound source. If you are in a movie theater and you change your seat to one that is six times as far from the​ speakers, how does the new sound intensity compare with that of your original​ seat?
The sound intensity of what it was originally. ?
​(Type an integer or a​ fraction.)

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Question 1126311: find the zeros of the function f(x)=3x-1+1/x+1
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Question 1126313: find the zeros of the function f(x)=3x-1+1/x+1
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Question 1126680: For the function f(x) = 3x^4- 4x^3 +x^2+ 6x-2
a. State the degree of the polynomial.
b. State the number of zeros the polynomial function will have.
c. Use the Rational Zero Theorem to list all of the possible rational zeros
d. Use your calculator to determine which numbers in the list of rational zeros are probable rational
zeros.
e. Use synthetic division to verify one rational zero.
f. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros
of the polynomial function.

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Question 1126808: The population,

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Question 1126783: Is the following relation (R) symmetric or not? Explain.
R={(x,y)∈Z×Z:x^2+y^2=1} where Z is the set of integer numbers.

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Question 1126782: Is the following relation a reflexive relation or not? Explain.
A={(x,y)∈RXR:x is less than or equal to y} where R is the set of real numbers.

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Question 1126785: Explain if the following relation (R) is a reflexive, symmetric, or transitive one:
R={(x,y)∈N×N:x is a factor of y} where N is the set of nonzero natural numbers.

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Question 1126968: If N represents the set of natural numbers, and the function f: N → N such that f(x)=3x. Is the function one to one? comprehensive? Explain.
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Question 1126974: 2x4(10_1+b_2)=40
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Question 1126972: If N represents the set of natural numbers, and the function f: N → N such that f(x)=3x. Is the function surjective? injective? bijective? Explain.
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Question 1127040: x ∈ ℝ, y ∈ ℝ and the absolute value of x + the absolute value of y = 2.
What is the Domain?
Previously, I had the domain as all real numbers, but it wasn't right. I'm not sure how to figure out the domain.

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Question 1127040: x ∈ ℝ, y ∈ ℝ and the absolute value of x + the absolute value of y = 2.
What is the Domain?
Previously, I had the domain as all real numbers, but it wasn't right. I'm not sure how to figure out the domain.

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Question 1127039: A long-distance company charges $2.25 for a 6-minute call. An 12-minute call costs $3.75
a.) Write a linear function to describe the cost of a phone call in terms of the number of minutes of the call.
b.) How much would a 20-minute phone call cost?
I have no idea how to solve this. What I tried for the first part was f(x)=6x + 1.5 and I didn't have the right equation. I can't solve part B if I don't have part A right. I know how to do part B though, I just need to figure out how to get part A.

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Question 1127341: What is the range of g(x)=-x+4 when the domain is -1,3,5
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Question 1127373: q(x) =x(x) +3
r(x) =the square root of x + 2
find (q o r)(2)
find (r o q)(2)

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Question 1127499: What would be the rule to represent the function for these coordinates:
(1,0) (1,3) (2,9) (3,27) (4,81)

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Question 1127500: Write a rule that represents the function for these coordinates:
(0,1) (1,0.5) (2,0.25) (3,0.125) (4,0.0625)

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Question 1127489: x^2 −y^2 + mx + 5y − 6 = (ax + by +c)(dx + ey + f). Determine the values for a, b, c, d, e, f, and m.
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Question 1127529: Find the average rate of change of f(x)=-x^3+3x^2 from x=-1 to x=4
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Question 1127528: Determine algebraically whether the function f(x)=x^3-2x+1 is odd, even, or neither
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Question 1127528: Determine algebraically whether the function f(x)=x^3-2x+1 is odd, even, or neither
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Question 1127526: f(x)=11-x^2
find the domain of the function using internal notation

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Question 1127527: find and simplify
f(a+h)-f(a)/h
(h ≠ 0)
for the function
f(x)=6x^2-2x+7

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Question 1127621: Suppose f(x)=3x+6 and g(x)=-x+4
(D) solve f(x) less than or equal to g(x)

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Question 1127619: Suppose f(x)=3x+6 and g(x)=-x+4
(B) solve f(x)greater than equal to 0

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Question 1127618: Suppose f(x)=3x+6 and g(x)=-x+4
(C) solve f(x)=g(x)

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Question 1127617: 2.Suppose f(x)=3x+6 and g(x)=-x+4
(A) solve f(x)=0

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Question 1127617: 2.Suppose f(x)=3x+6 and g(x)=-x+4
(A) solve f(x)=0

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Question 1127525: y=f(x)
find the domain and range of f and use interval notation

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Question 1127677: -21=-1/6(x+4)
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Question 1127783: Beth has saved $4500. She would like to earn $250 per year by investing her money. She received advice about two different investments: a low-risk investment that pays a 5% annual interest and a high-risk investment that pays a 9% annual interest.
How much should Beth invest in each type of investment if she wishes to earn $325 per year?

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Question 1127791: Find the inverse of the function. (Enter the domain using interval notation.)
f(x) = sqrt (4x − 6) + 3
* I know that the inverse of the function is f(x)= x^2-6x+15/ 4. However, I am running into trouble finding the domain. My answers so far have been, (- infinity, + infinity). [3/2, +infinity). and (-infinity, 3/2} U{3/2, +infinity)

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Question 1127822: 1:writte down the domain of -5/4x∧2+1
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Question 1128075: I have a table with
f(x):
x: 0,3,1,7
y: 2,0,4,0
I need to answer these questions about the table.
a) Determine the value of f(3)
b) Solve f(x)=2
c) Determine f^-1(4)
d) Determine if f^-1 is a function.

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Question 1128079: f(x)={(1,4),(2,2),(8,3),(3,3),(-7,1),(8,-1)}
I need to answer these questions about the relation above.
a) Determine the value of f(3)
b) Solve f(x) = 2
c) Determine f^-1(4)
d) Determine if f^-1 is a function.
e) What is the domain and range?

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Question 1128110: 1) f(x) = x^2+1
2) f(x)=2x + 3
With each function equation I need to solve this question
Q: Solve f(x) = 1

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