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

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Question 919737: Let
f (x) = x^7

The graph of a function g is created by
reflecting the graph of f in the x-axis
then shifting left 15 units
and finally shifting up 12.
Find the function g.
g(x)=
Click here to see answer by ewatrrr(24785)

Question 919755: Can someone explain why I am getting these transformation problems wrong?
Here is the image:
http://i.imgur.com/iJmtf4A.png

Please explain
Thank you
Click here to see answer by josgarithmetic(39613)

Question 919840: The sum of three numbers is
82
. The third number is
2
times the second. The second number is
6
less than the first . What are the numbers?
Click here to see answer by ewatrrr(24785)

Question 919776: The question to this section of homework is: "graph each equation and determine the domain and range. Determine whether the equation is a function,is one-to-one, onto, both, or neither. Then state whether it is discrete or continuous"
All I really need help with is determining the domain and range of y=-x^2
Also, how do I find out if an algebraic problem is discrete or continuous? I understand with word problems, obviously, I'm just a bit confused on numeric examples like the one above.
Thank you.
Click here to see answer by richard1234(7193)

Question 919876: Find the inverse function of y = √(x^2-5x-6)
I have tried doing:
x = √(y^2-5y-6)
x^2 = y^2-5y-6.......and couldn't isolate y from here.
Thank-you for your time!
Click here to see answer by MathLover1(20849)

Question 919887: What must the domain be restricted to for y = √((x-4)/3) +2 to be a function?

Click here to see answer by stanbon(75887)

Question 919912: f(x)=5x^3-13x^2+4x-6;f(1)
Click here to see answer by Fombitz(32388)

Question 920002: Hi, Thank you for your help in advance.
This is the question below:
Find the value of f(12) for the function f(x) = (-2x^2+3x-58)-3(x+10).
Thanks again.
Click here to see answer by ewatrrr(24785)

Question 920041: i am stuck on the following problem for my math hw. included is a picture of the problem
http://imgur.com/zEmhtaP
any help would be appreciated
Click here to see answer by Fombitz(32388)

Question 920107: Use the function to answer the question.
f(x)= |x-1|
What is the range of f(x)?
A. all real numbers greater than or equal to 0
B. all real numbers greater than 0
C. all real numbers greater than or equal to 1
D. all real numbers greater than 1

Click here to see answer by ewatrrr(24785)

Question 920126: given the functions f(x)=3square root x+1 find f^-1(x)
Click here to see answer by josgarithmetic(39613)

Question 920131: Use the function to answer the question.
{ -10 if x < -5
{ x^3 if -5 ≤ x ≤ 2
{ 2x + 4 if x > 2
What is the value of f(-4)?
A. -64
B. -12
C. -10
D. -4
Click here to see answer by Fombitz(32388)

Question 920133: Use the functions to answer the question.
f(x)= x^2 + 3 ; g(x) = x-1
Which is equal to (f+g)(x)?
A. x^3 - 3
B. x^2 + x + 2
C. x^2 - 2x + 4
D. x^3 - x^2 + 3x - 3
Click here to see answer by ewatrrr(24785)

Question 920139: Use the functions to answer the question.
f(x)= 2x - 8 ; g(x)= x-5
What is the value of (g o f)(6)?
A. -6
B. -1
C. 1
D. 6
Click here to see answer by ewatrrr(24785)

Question 920170: i am stuck on this problem
f(x)=9x^2+20x+1 and g(x)=9x^2-13x+31, find (fg)(0)
any help would be appreciated
Click here to see answer by ewatrrr(24785)

Question 920169: i am stuck on this problem
f(x)=-3x-20 and g(x)=8x-4, find (f-g)(b)
any help would be appreciated
Click here to see answer by ewatrrr(24785)

Question 920210: Use the functions to answer the question.
f(x)= 3x; g(x)= 4x^2 + 1
Which is equal to (f o g)(x)?
A. 12x^3 + 3x
B. 12x^2 +3
C. 36x^2 + 1
D. 4x^2 + 3x + 1

Click here to see answer by ewatrrr(24785)

Question 920306: I'm working on relations and functions. Please help me solve this equation for f(3)
Click here to see answer by jim_thompson5910(35256)

Question 920410: let f(x) = 12x^2 - 29x+10, and let a=10. find f(a+h) - f(a)/h
f(x)=-5/23 x+33, and a=-12, find f(x)-f(a)/x-a
f(x)=-x^2 +2x+15, and g(x)=18x^3 -11x^2-24x-21, find (f-g)(-2)
f(x)=-9x^2+10x+4, and g(x)=-7x^3-24x+6, find (f-g)(8)
f(x)=10x^2+11x+8, and g(x)=11x^3+4x^2-8x+3, find(f/g)(1)
f(x)=16x^2+19x+1, and g(x)=20x+21, find f/g (y)
f(x)=9x^2-11x-7, find f(x+h)-f(x)/h
im am stuck, any help would be appreciated

Click here to see answer by Alan3354(69443)

Question 920406: Given f(x)=8xsquared + 9x - 3 and g(x) = -7x + 5 find (f+g)(x)

Click here to see answer by Fombitz(32388)

Question 920520: The price p and quantity x sold of a small flat screen television set obeys the demand equation below.
p= - .18x+288
a. How much should be charged for the television set if there are 50 television sets in stock? Round to nearest cent
b. What quantity x will maximize revenue? What is the maximum revenue?
c. What price should be charged in order to maximize revenue?

Click here to see answer by ewatrrr(24785)

Question 920519: The dollar price for a barrel of oil sold at a certain oil refinery tends to follow the demand equation below, where x is the number of barrels of oil on hand (in millions).
p= -1/4x+160
a. How much should be charged for a barrel of oil if there are 3 million barrels on hand? Round to nearest cent
b. What quantity x will maximize revenue?
c. What price should be charges in order to maximize revenue?

Click here to see answer by ewatrrr(24785)

Question 920574: Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1070. The cost of producing x lawnmowers is given by the function C(x)= 110x+6,000.
a. Express the revenue R as a function of x. Simplify answer, do not factor.
b. Express the profit P as a function of x. Simplify answer, do not factor
c. Find the value of x that maximizes profit. What is the maximum profit?
d. What price should be charged in order to maximize profit?

Click here to see answer by ewatrrr(24785)

Question 920611: Given the function f(x)=x^2-6x+12 find its minimum.
Click here to see answer by MathLover1(20849)

Question 920668: dots represent a pattern ->
....
.........
................
can you write a rule to predict how many dots will be in the 10th step ?

Click here to see answer by josgarithmetic(39613)

Question 920991:
if
The first two is supposed to be multiplying not an exponent. I don't know why it is doing that.
Thank you so much!
Click here to see answer by josgarithmetic(39613)

Question 921074: If the function f is defined by f (x)=3x+4, then 2f (x)+4=
Click here to see answer by jim_thompson5910(35256)

Question 921139: What are the zeros of the function? f(x)=-2x^2+2x+1
Click here to see answer by josgarithmetic(39613)

Question 921026: Please help me figure out how to solve this: if f(x)=(8x^4-3)^3 and g(x)=8x^4-3, given that f(x) = is ( h o g) (x), find h(x. Thank you!
Click here to see answer by ewatrrr(24785)

Question 921247: A health club currently charges its 1800 clients monthly membership dues of $44. The board of directors decides to increase the monthly membership dues. Market research shows that each $1 increase in dues will result in the loss of 7 clients. How much should the club charge each month to optimize the revenue from monthly dues? Round to the nearest cent.

Click here to see answer by stanbon(75887)

Question 921261: Silver Scooter Inc. finds that it costs $100 to produce each motorized scooter and that the fixed costs are $1,500. The price is given by p=600-2x where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters the company should produce and the price it should charge to maximize profit. Find the maximum profit.
Click here to see answer by ewatrrr(24785)

Question 921327: sorry, i submitted a question but it was missing an essential part.
here it is in its entirety: If f(x)=1/x and g(x)=1-2x, find the value of f(g(-3)). thank you again
Click here to see answer by MathLover1(20849)

Question 921325: If f(x)=1/x, find the value of f(g(-3)). please and thank you
Click here to see answer by josgarithmetic(39613)

Question 921324: If f(x)=x^3, simplify the expression (f(x+h)-f(x))/(h). thanks
Click here to see answer by josgarithmetic(39613)

Question 921280: An orchard contains 30 apple trees, each of which yields about 500 apples over the growing season.The owner plans to add more trees, but each new tree will reduce the average yield per tree by about 7 apples over the season. How many trees should be added to maximize the total yield of apples? What would be the maximum yield for the apple orchard for the season?
Click here to see answer by josgarithmetic(39613)

Question 921321: Express the area A of a circle as a function of its circumference C.
Please explain to me what the question is asking me to do. Thank you.
Click here to see answer by richard1234(7193)

Question 921397: Hi there, I've been trying and trying this problem with no luck. Could you help me out with this, please?
Given the function y=(x-11)^2, where x is less than or equal to 11, find the inverse and its domain.
I keep getting y=plus or minus sqrt(x)-1 which is incorrect.

Click here to see answer by josgarithmetic(39613)

Question 921458: Limx->1
(Limit as x approaches 1)

Click here to see answer by Alan3354(69443)

Question 921458: Limx->1
(Limit as x approaches 1)

Click here to see answer by KMST(5328)

Question 921685: i am stuck on the following hw problem. included is a pic of the problem
http://imgur.com/qmhXu81
any help would be appreciated
Click here to see answer by rothauserc(4718)

Question 921683: i am stuck on the following hw problem. included is a pic of the problem
http://imgur.com/IPhMu79
any help would be appreciated
Click here to see answer by Theo(13342)

Question 921682: i am stuck on the following math hw problem. included is a pic of the probem
http://imgur.com/Kwn8quw
any help would be appreciated
Click here to see answer by richwmiller(17219)

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