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

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Question 1122792: Find the zeros and y-intercepts of each function.
f(x)= x^2 - 10x + 16
g(x) = 3x^2 + 5x - 2

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Question 1122791: Solve x^3 + x^2 - 12x + 12 = 0
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Question 1122791: Solve x^3 + x^2 - 12x + 12 = 0
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Question 1122835: Find the zeros and y-intercept of
g(x) = 3x^2 + 5x - 2

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Question 1122822: The point (-12,2) is on the graph of y=f(x). Find the corresponding point on the graph of y=g(x), where g(x)=f(-x)
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Question 1122936: Hello,
I'm a little confused about the order of transformation order. I have a problem which states:
Given h(x)=-(x-2)^3 + 4, which order is correct?
shift right 2, shift up 4, reflect across x-axis
OR
shift right 2, reflect across x-axis, shift up 4
Thank you!

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Question 1122946: What does "The sum of b and 11"look like as an equation?
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Question 1123126: The rate of change of f(x) in the period [1,3] is 4. h(x)=f(x)-x. Find the rate of change of h(x) in the same period.
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Question 1123115: You are buying packages of beads to make bracelets.Each package cost$3 plus 7%tax.You have a gift card for $15 and you plan to use only the gift card to pay for the beads.Which functions c(p)represents the total cost, where p represents the number of package of beads you purchase?What is a reasonable domain?
A. c(p)=3.21p-15;{0,1,2,3,4}
B. c(p)=3.21p;all nonnegative integers
C. c(p)=0.07(3p-15);all nonnegative integers
D. c(p)=1.07(3p);all nonnegative integers

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Question 1123233: Find x if f(x) = 2x + 7 and f(x) = -1.
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Question 1123257:
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Question 1123357: f(x)=2x^2-1,g(x)=x-2. What is f(g(-2))?

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Question 1123354: f(x)=x^2+1,g(x)=x-2. What is f(g(x)) and g(f(x))?
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Question 1123356: f(x)=x-2,g(x)=3x+3. What is f(g(x)) and g(f(x))?

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Question 1123391: Hello,
I'm not sure how the equations were obtained for the following piecewise function.
x+11, for -9 less than or equal to x<-2
2, for -2 less than or equal to x less than or equal to 0
3x-9, for 0 For -9 less than..., for -2 less than..., and for 0 less... than were obtained by viewing a graph but I'm not sure how x+11, 2, and 3x-9 were obtained.
Thank you very much!

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Question 1123444: What is the value of k in the function ƒ(x)=112-kx if ƒ(-3)=121?
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Question 1123444: What is the value of k in the function ƒ(x)=112-kx if ƒ(-3)=121?
Click here to see answer by solver91311(24713) About Me 

Question 1123449: The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, and the number of monthly payments made since January, x, can be represented by the equation y = 2,570 - 125.50x. In what months does the loan balance, y, meet the condition, $1,600 < y < $2,000?
Click here to see answer by Theo(13342) About Me 

Question 1123452: I've been wrapping my head around this for a while and would like an easier explanation to solving these functions. Thank-you.
Suppose that the functions p and q are defined as follows.
p(x)= x^2+9
q(x)= √x+8
Find:
(p ∘ q)(8) =
(q ∘ p)(8) =

Click here to see answer by Boreal(15235) About Me 
Question 1123452: I've been wrapping my head around this for a while and would like an easier explanation to solving these functions. Thank-you.
Suppose that the functions p and q are defined as follows.
p(x)= x^2+9
q(x)= √x+8
Find:
(p ∘ q)(8) =
(q ∘ p)(8) =

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Question 1123341: If f is a function such that for all integers m and n, f(m,1) = m+1 and f(m,n) = f(m+2,n-3), then f(84,967) equals...
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Question 1123469: Suppose that the functions q and r are defined as follows.
q(x)=2x+4
r(x)=-4x-5
Find:
(r ∘ q)(-4)
(q ∘ r)(-4)

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Question 1123503: You are making balloon bunches to attach to tables for a party.
You are using 8 balloons in each bunch, write a rule for the function for the total number of balloons used as a function of the numbers of the bunches created.
Identify the independent and the dependent variables. How many ballons will you use if you make ten bunches/

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Question 1123515: Find the tangent line equation for the function f(x)=(2x+1)(x^2-3) at the point x=0.
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Question 1123526: A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that has an original price of x ?
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Question 1123484: Give at least two examples of functions from A to B, where neither A nor B is a set of numbers.

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Question 1123587: How to determine if the equation x^2=(1+y^2) is a function.
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Question 1123586: How to determine if the equation x^2=(1+y^2) is a function.
Thank you

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Question 1123544: I've been trying to solve this problem for a while and would appreciate the help thank-you.
The one-to-one function g and h are defined as:
g(x)=x-9/5
h={(-7,-1),(-4,4),(-1,3),(7,1)}
Find:
g^-1(x) =
(g ∘ g^-1)(-2) =
h^-1(-1) =

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Question 1123637: if p(x)= -1/2x^3 - x^2 + 4x ,
**-1/2 is a fraction
find all intercepts and graph y > p(x)

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Question 1123646: If the function is f(x)=2x^2+x-3, how do I find the domain?
Thank you.

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Question 1123672:
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Question 1123634: Find all zeros using synthetic division. Please show all of your work and the solution.
P(x)= 6x^4 - 5x^3 - 25x^2 + 10x + 24

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Question 1123716: question 1= f(x)=x/x+1; function domen and range =?
queation 2= f(x)=x-3/2x+1; function domen and range =?

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Question 1123636: Find all zeros using synthetic division. Show your work.
Q(x)= x^3 + (k+3)x^2 - k(2k-3)x - 6k^2 where k is a real number

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Question 1123899: Please help me solve: if f(x)=6x^3+13x^2+2x-5 and f(-1)=0, find the factors of f(x).
Click here to see answer by Theo(13342) About Me 

Question 1123993: Please help me solve this question: if x-2 and x-1 are factors of the expression; lx^3+2kx^2+24, find the values of l and k.
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Question 1124106: Let A = {the Rationals} and B = {the Irrationals}. Find A B
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Question 1124173: Find the range of the function rule y=5x-2 for each domain.
{0.5,11}
Am I correct:
f(0.5)=5(11)-2
f(o.5)=55-2
f(0.5)=53

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Question 1124172: Give the domain and range for each relation.
y= 3^x
y= 3

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Question 1124274: let f be the function defined by f(x)=4x-3. Find f(4), f(1/4), f(0), f(a), and f(a+1)

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Question 1124273: Find the domain of these functions.
f(x)=7-x^2
g(x)=2x+1/x-1
f(x)=sqrt(x-5)
g(x)=sqrt(2x^2+3)

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Question 1124272: Let f be the function defined by f(x)=2x^2+5. Find f(a+h), f(-a), f(a^2), f(a-2h), f(2a-h)
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Question 1124272: Let f be the function defined by f(x)=2x^2+5. Find f(a+h), f(-a), f(a^2), f(a-2h), f(2a-h)
Click here to see answer by josgarithmetic(39613) About Me 

Question 1124218: State the domain, range and determine if the relation is a function.
1. {(-2,4),(-1,1),(0,0),(1,1)
State whether the equation is a function.
2.y=2x^2-2x+4
3.2x^2+3y^2=1
Find the following for each function.
(A) f(0)
(B) f(1)
(C) f(-1)
(D) f(-x)
(E) -f(x)
(F) f(x+1)
(G) f(2x)
(H) f (x+h)
4. F(x)=3x^2+2x-4
5. F(x) = x/x^3+x

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