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

Tutors Answer Your Questions about Functions (FREE)

Question 81302: Graph the functions: f(x)=-2x-5
Click here to see answer by praseenakos@yahoo.com(507)

Question 81331: Complete the ordered pairs for the function h(a)=4a-5
a. (2,?) b. (11,?)

Click here to see answer by funmath(2933)

Question 81250: How do I start this problem:
Given f(x)=4+3x-x^2 ,find and simplify f(h+5) - f(h-3)
Click here to see answer by ankor@dixie-net.com(22740)

Question 81404: If F(x) = 3x^2 - 5x and G(x) = 2x - 4, find G of F(2) and F of G(2)
I'm having trouble with this problem. Any help is appreciated. Thanks.
Click here to see answer by SMM52091(3)

Question 81514: How to find a domain and range?
Click here to see answer by rapaljer(4671)

Question 81535: I am needing assistance on this one, here is the equation.
Rewrite each equation as a function x.
-3x+4y=11
Click here to see answer by praseenakos@yahoo.com(507)

Question 81604: I would like to ask a business and finance applcation involving functions.
The inventor of a new product believes that the cost of producing the prodict is given by the function, example;
C(x)=1.75+7000
How much does it cost to produce 2000 units of her invention?
If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function.
P(x)=2.25x-7000
a.) What is her profit isf she sells 2000 units?
b.) What is her profit if she selss 5000 units?
C.)What is the break-even point for sales?
Please help

Click here to see answer by scott8148(6628)

Question 81711: Problem #8
I have read the chapter many times and can not seem to figure it out.
Determine whether each relation is a function.
y=square root of x-1.
How do I figure this out? Please help

Click here to see answer by rapaljer(4671)

Question 81725: How is does slope relate to function notation?
Click here to see answer by rapaljer(4671)

Question 81734: Given f(x) = �2x � 1, find f(a � 3).

Click here to see answer by rapaljer(4671)

Question 81738: Rewrite the equation y = 4x + 1 as a function of x.
Click here to see answer by rapaljer(4671)

Question 81801: I need to see if I did this right....I was asked to find the zero of the linear function.
F(x)=5x+20
5x+20=0
5x+20-20=0-20
5x/5=-20/5
x=-4
Did I do that right????
Thanks!!
Click here to see answer by stanbon(75887)

Question 81892: It's for an exam review and I don't remember this at all.
Describe, in the graph in the graph of y=ax^2+bx+c what the effect on the graph is, if...
A. a>0
B. c<0
C. a=3, c=-2
Click here to see answer by stanbon(75887)

Question 82159: I don't know how to do this one. My teacher doesn't use the book to teach and he usually makes up his own problems. The book defines inverse of a function but I don't understand what it is trying to say, this stuff confuses me so much...
Find the inverse of f(x)=-2x^-1+3 and prove it's the inverse.
I know it has to do with f^-1 but I just don't understand where to plug this stuff in and how to solve it.
Click here to see answer by stanbon(75887)

Question 82031: solve
2(7x-4)-31>3x+4(2x-6)

i have no idea how to do this can you explain to me how to do it and how you got the answer please?
Click here to see answer by stanbon(75887)

Question 82189: Hi and thank you in advanced for your help. I'm in a pre-algebra class and I missed class yesterday and I'm supposed to finish 2 work sheets about functions. My pre-algebra teacher gave me the definition but I don't fully understand it. Could you please explain it to me in a way that I can understand? Also in one of the work sheets it says to "find four solutions to each equation" and then it gives me this:
1. y = x - 5
What am I supposed to do with it?
Click here to see answer by Edwin McCravy(20056)

Question 82200: Sorry for asking so many questions, but I really need to kow this one: how do I know wheter a relation is a function or not?
and how am I supposed to graph this type of equation? my work sheet says to "graph each equation by plotting ordered pairs" and then it gives me several equations such as this one:
y = 2x - 1

Click here to see answer by stanbon(75887)

Question 82195: I have this problem:
y = -3x + 1
I did:
y= -3 1 + 1
y = -3 + 1

and I got (1,2)
is that right?
thanks for all your help!
Click here to see answer by sofiyacherni(99)

Question 82193: Please do step by step.
f(x)=-x to the third power+3x to the second power-x+4, find f(-2), f(0), and f(3).
Click here to see answer by sofiyacherni(99)

Question 82157: I came out with a weird answer and I don't know if I did this correctly. Please help me! My teacher makes up problems for the homework so I don't have a chapter or book number.
If F(x)=4x-2 and g(x)=x(2-x)^-1 Find:
a) g(f(g(4)))
b)f(g(x))
I did this and it just doesn't look right.
A)
g(x)=4(2-4)^-1
-2
4(-.5)
g=2
f(-2)=4(-2)-2
-8-2
-10
g(-10)=-10(2+10)^-1
12
1/12
-10(.083)
-.833
f(g(x))
f(g(x))=4(x(2-x)^-1)-2
4(x(1/2))-2
4(x/2-x)-2
(4x/2-x)-2
-8x/2-x
I don't know...help!
Click here to see answer by scott8148(6628)

Question 82412: What is the natural domain of f(t)=t/(t-1)? Please explain the reasoning. Thanks.
Click here to see answer by stanbon(75887)

Question 82452: what is the relationship between the domain and the range of a function?
Click here to see answer by stanbon(75887)

Question 82486: I need to match the function has with its possible range.
function is y=-5x + 1
ranges to choose from:
-7,-4,-1,2,5,8
-5,-3,-1,1,3
11,6,1,-4,-9,-14
4,3,2,1,0
I have no idea how to even begin to solve this question. Can you tell me the range and explain how it is done. This is from a worksheet from McDougal Littell Middle School Math, Course 2 Chapter 7.
Click here to see answer by stanbon(75887)

Question 82578: Given f(x)=-x-4, find f(a-3)
Click here to see answer by scott8148(6628)

Question 82609: This is rather confusing, problem from assignment sheet.
Problem: g(x)= x^2+ 3x
h(x)= (x+3)/2
find: (h o g)(-1)

Click here to see answer by stanbon(75887)

Question 82668: This problem is not from a textbook:
I understand that I need to create two equations but I am not sure how to formulate them. I am not sure how to position the variables in the "rate x time = distance" formula...
In a canoe race, a team paddles downstream 560 meters in 70 seconds. The same team makes the trip back upstream to the starting point in 80 seconds. First, write a system of two equations in two variables that models the problem. (Let r = the rate of the canoe team in still water and c = the rate of the current.
Second, find the team's rate in still water and the rate of the current
Click here to see answer by stanbon(75887)

Question 82670: HI. PLEASE HELP ME WITH THIS PROBLEM : IF f(4)=0 and f(6)=6, which of the following could represent f(x)? THANK YOU!
A. 2/3X-4
B. X+2
C. X-4
D. 3/2X+6
E. 3X-12
Click here to see answer by scott8148(6628)

Question 82651: Which is a zero of the funtion?
f(x)=x2+6x-7
-7
-6
7
41
Click here to see answer by scott8148(6628)

Question 82678: Hi, could you please check my answer for this question. If it is wrong, could you explain to me how you got the right answer. Thank you so much!
Find the domain of f(x)= 7 + squared 3x + 21, and express it using interval notation.
The answer I received is [-7, 00
Click here to see answer by stanbon(75887)

Question 82866: X-SQUARE ROOT X=0 how do I solve for all values of x to satisfy this equation?Please show the work step by step. Thank you sooo much!
Click here to see answer by stanbon(75887)

Question 82906: My teacher doesn't explain well & I don't understand how to do elimination & substitution problems.
ex.-3x-1/2y=10
5x+1/4y=8
How do I figure out this problem?
Thank you so much for your help!
Chapter 8.4 Algebra 1
Click here to see answer by checkley75(3666)

Question 82903: My teacher doesn't explain well & I don't understand how to do elimination & substitution problems.
ex.-3x-1/2y=10
5x+1/4y=8
How do I figure out this problem?
Thank you so much for your help!
Chapter 8.4 Algebra 1
Click here to see answer by jim_thompson5910(35256)

Question 82902: Find the zeroes of the function.
f(x)=x^2-6x+14
Click here to see answer by jim_thompson5910(35256)

Question 82865: is square root x^2 = x an identity?
Click here to see answer by jim_thompson5910(35256)

Question 82993: I need help with this, please!!
The equation l(r) = 400r expresses the amount of simple interest earned by an investment of $400 for 1 year as a function of the rate of interest (r). Compute l(0.11), l(0.12), and l(0.15).

Click here to see answer by Earlsdon(6294)

Question 82956: given a slope of a line is 2 and its y-intercept is 8, what is the equation in slope-intercept form?
Click here to see answer by checkley75(3666)

Question 82951: How would you graph f(x)=|x + 3|?
Click here to see answer by ryanman(19)

Question 83036: Evaluate the function (f)x=x^2+2x-3 at the given x values
A. x=-2
B. x=0
C. x=-5
Click here to see answer by adamchapman(301)

Question 82994: Can you explain how a graph shows whether relations are functions or not functions? I get confused when using the vertical-line test.
Click here to see answer by stanbon(75887)

Question 83115: Help!!! I'm having a very hard time with this exam review.
Determine the linear function whose graph is a line with a slope of 5/7 and contains the point (-1,5). Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 83157:
The main road in Belleville is 7 3/10 miles long. so far 2 3/4 miles have been repaved. How many miles have not been repaved?

Click here to see answer by Edwin McCravy(20056)

Question 82952: Find the x-intercepts and the vertex of the parabola.
f(x) = 4x^2 - 56x + 160
Click here to see answer by ankor@dixie-net.com(22740)

Question 83110: Suppose that the equation p(x) = 3x^2 + 426x -2200, where x represents the number of items sold, describes the profit function for a certain business. How many items should be sold to maximize the profit?
(I have a problem understanding word problems! Thanks for your help!)
Click here to see answer by Mona27(45)

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