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

Tutors Answer Your Questions about Functions (FREE)

Question 916414: How do I complete the square for y= 2x^2+12x to determine maximum or minimum value.
Click here to see answer by josgarithmetic(39618)

Question 916457: Find the domain of the function. (Enter your answer using interval notation.)
f(x) = 9x2 + 7x − 1

Click here to see answer by MathLover1(20850)

Question 916525: G(X)=K[X(X-200)] where X= 100 How do you solve this?
Click here to see answer by Alan3354(69443)

Question 916542: Please help me sketch the graph of this piecewise- defined function?
f(x)= {3 if x<1
{-2 if x≥1

Click here to see answer by ewatrrr(24785)

Question 916627: For the function f(x) Determine the range of f for this equation. Write range in interval notation
f(x)= {2x-3 if x≤1
{ x+1 if x>1
Click here to see answer by Edwin McCravy(20056)

Question 916647: what is the horizontal and vertical asymptote of (x-4)e^x

Click here to see answer by stanbon(75887)

Question 916650: Find the x and y-intercept of rational function:
y = (4x(x+20))/(x+10)(x-1)
Thank you
Click here to see answer by stanbon(75887)

Question 916567: Please help me sketch the graph of this piecewise- defined function.?
f(x)= {2x-3 if x≤1
{ x+1 if x>1
Click here to see answer by MathLover1(20850)

Question 916767: Suppose f(5)=7 and f(5.3)=7.9, approximate f'(5)
I can't seem to get started on this problem.
I am very grateful for all your help. Yours Faithfully, Michael.
Click here to see answer by stanbon(75887)

Question 916809: How do I set up this problem? I think I have an idea but I don't know if I'm right
The question is: For the pair of functions defined, find f+g
f(x)=x squared-9;g(x)=4x+16

Click here to see answer by MathLover1(20850)

Question 916733: You are selling banana bread that costs P 5 each. Each week, you have 50
customers. When you decrease the price by P1, you expect 30 customers to be
added. What is the price of the banana bread that yields a maximum profit?
a. Analyze the problem.
b. What is the weekly sale if the cost of the banana bread is P5?
c. If the revenue (R) = number of bread x bread price. Write the equation of
the quadratic function given the situation above?
d. What is the price that yields the maximum revenue?
e. Find the maximum revenue.
Click here to see answer by MathTherapy(10552)

Question 916869: Find the y-intercept and graphing of this rational function?
(8x-4x^2)/((x+2)^2)
VA: x =-2
HA: y = -4
X-int: (2,0),(0,0)
How would I find the y-intercept
How would I go about graphing this as well?
Thank you!
Click here to see answer by solver91311(24713)

Question 916916: Please check my work for the domain of:
f(x)=log_2(x+4)+log_2(x+6)
I set up a table of signs to solve this, please tell me if there is a better way to do this.

_____|-∞|-6|__|-4 |-∞ | .(x+4)| - | - | - | o | + | (x+6)| - |o |+| + | + | answ| +|X| - | 0 | + |

therefore the domain is: (-∞,-4) U (-4,∞)
Is this correct?
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 917060: What is the range of the function f(x)=1/1-x? Express your answer in interval notation. Thank you!
Click here to see answer by ewatrrr(24785)

Question 917638: There are 4 consecutive multiples of 3 such that the sum of the first 3 multiples is twice the fourth. Find the four multiples of 3
Click here to see answer by Edwin McCravy(20056)

Question 917865: The function f has a domain of (2, 4, 6, 8) and a range of (5, 7, 11). Can f be represented by (2,5; 4,7; 6,8; 8,5).

I say no because 8 is in the domain but there is no corresponding range element. Would this be correct?
Click here to see answer by rothauserc(4718)

Question 918125: how do i solve f{x) = 0, find the value of x? i am just starting algebra and having a hard time with it.
Click here to see answer by Fombitz(32388)

Question 918432: you purchased a used car that depreciates at a rate of 9% per year. what is the decay rate?

Click here to see answer by stanbon(75887)

Question 918565: integration of x*sec(x)dx
Click here to see answer by Edwin McCravy(20056)

Question 918644: if g(x) = 8 - 4x, what is the value of g(-3)

My response would be g(-3) = 8 - ((4(-3))
g(-3) = 8 - (-12)
= 8 + 12
= 20
Would this be correct?
Click here to see answer by ewatrrr(24785)

Question 918677: Determine whether each of the following is a function. Identify any relations that are not function.
1. The correspondence matching a member of a rock band with the instrument the person can play.
2. The correspondence matching a triangle with its area.
Click here to see answer by ewatrrr(24785)

Question 918723: How do you find the domain of ^6 square root(x-5)
Click here to see answer by ewatrrr(24785)

Question 918916: Give the open interval on which the function is increasing:
f(x)=(x-3)^2-2
Click here to see answer by MathLover1(20850)

Question 918925: I worked this math problem but it says I am wrong, what did I do and what is the correct answer?
Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1,030. The cost of producing x lawnmowers is given by the function C(x)= 150x+3,000.
Express the profit p as a function of x. Simplify but do not factor answer.
I got the answer -1/20x^2+880x-3,000

Click here to see answer by ewatrrr(24785)

Question 918934: Please help me solve the rest of this math problem, I am lost. I've done most of it.
Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1,030. The cost of producing x lawnmowers is given by the function C(x)= 150x+3,000.
a. Express the revenue R as a function of x. Simplify, do not factor answer.
The answer I got was 1,030x-1/20x^2
b. Express the profit P as a function of x. Simplify, do not factor answer
The answer I got was -1/20x^2+880x-3000
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 918965: Please tell me what I did wrong on the last part of this math problem and what is the correct answer?
Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1,030. The cost of producing x lawnmowers is given by the function C(x)= 150x+3,000.
a. Express the revenue R as a function of x. Simplify, do not factor answer.
The answer I got was 1,030x-1/20x^2
b. Express the profit P as a function of x. Simplify, do not factor answer
The answer I got was -1/20x^2+880x-3000
c. Find the value of x that maximizes profit. What is the maximum profit?
The answers I got were 8,800 and 3,869,000
d. What price should be charged in order to maximize profit? Round to the nearest cent.
The answer I got here was $150.34 but it says I am wrong, what is the correct answer?
Click here to see answer by ewatrrr(24785)

Question 919012: let g(x)=-x^2+5x+3. find and simplify g(1/2)
The value of the function is 5 3/4 type an integer or a fraction
Click here to see answer by drvidmar(5)

Question 919025: f(x)=4x-4 over x-3
f(a+2)=?
Click here to see answer by Alan3354(69443)

Question 919029: let g(x) =-x^2+5x+3. find and simplify g(-3)
Click here to see answer by MathLover1(20850)

Question 919040: find the slope of the line containing the pair of points
(-5,-10) and (-4,-3)
Click here to see answer by Alan3354(69443)

Question 919040: find the slope of the line containing the pair of points
(-5,-10) and (-4,-3)
Click here to see answer by MathLover1(20850)

Question 919090: find the distance between the points (-20,16) and (-15,19). also find the midpoint of the segment that joins the points.
what is the distance?_____
what is the midpoint?______
Click here to see answer by meldocallos(2)

Question 918910: Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1,030. The cost of producing x lawnmowers is given by the function C(x)= 150x+3,000.
a. Express the revenue R as a function of x. Do not factor answer
b. Express the profit P as a function of x. Do not factor answer
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 919120: (-4,6)(8,2)(15,-7) What is the domain

Click here to see answer by ewatrrr(24785)

Question 919180: I have x and y table I need help with
X=2 Y=15
X=? Y=30
X=8 Y=?
X=20 Y=?
X=? Y=180
Click here to see answer by ewatrrr(24785)

Question 919113: Let f(x) = x2 - 16. Find f-1(x). ?
Click here to see answer by jim_thompson5910(35256)

Question 919253: Hi, I need help on my word problem homework. Would someone kindly help me please.Please show me the steps on how to solve the problem as well. Thank you.
Between 1989 and 1998, the population of small town, USA (in thousands) can be modeled by f(x)=0.8x^2-12.8x+54.2, where x=0 represents 1989. Based on this model, in what year did the population of small town reach its minimum?
My teacher said that the answer is: 1997
Would you please show me how he got the answer. Than you.
Click here to see answer by KMST(5328)

Question 919285: Hey guys im having a hard time with this word problem. Ive spent about 2 hours trying to figure it out with no success. Please show the steps, thank you!

A farmer with 12,000 feet of fencing wants to enclose a rectangular field and then divide it into two (non-equal) plots by running a fence parallel to one of its sides. What is the largest area that can be enclosed?
Click here to see answer by Theo(13342)

Question 919456: i am stuck on the following math problem. here is a pic of the problem
http://imgur.com/nALNSOb
any help would be appreciated
Click here to see answer by rothauserc(4718)

Question 919458: i am stuck on the following math problem. here is a pic of the problem
http://imgur.com/ad4wfTz
any help would be appreciated
Click here to see answer by rothauserc(4718)

Question 919533: I have answered this question but I want to make sure it is correct. Please check it.
Here is the question:
An aerobics class is being offered once a week for 6 weeks. The registration fee is $15 and the cost for each class attended is $10. Write a function rule to describe the total cost of the class. Find a reasonable domain and range for the function.
My answer:
y=15+10x
Domain: All real numbers
Range: All real numbers
Thank you!
Click here to see answer by Alan3354(69443)

Question 919680: assume that all variables represent real numbers. determine whether each equation determines y to be a function of x y=x

Click here to see answer by ewatrrr(24785)

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