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

Tutors Answer Your Questions about Functions (FREE)

Question 423655: Does the following quadratic have a graph that opens up or opens down?
f(x) = -3x2 + 5x - 7

Click here to see answer by Alan3354(30993)

Question 423656: What is the vertex of the equation f(x) = 2(x-4)2+5
Click here to see answer by Alan3354(30993)

Question 423688: What would be the vertex of the following:
f(x)=x^2+10x+9

Click here to see answer by Alan3354(30993)

Question 423733: Is the following statement true or false?
The verticle line test says that a graph is a function if no verticle line crosses the graph at more than one point.
Click here to see answer by jim_thompson5910(28545)

Question 423913: what is the greatest number that you can fill in here 3x- <20
Click here to see answer by MathLover1(6625)

Question 423759: Please help me figure out the domain of the function

Click here to see answer by ankor@dixie-net.com(15646)

Question 424011: A little help please?...
Given the function: f(x)=-2x^2+8x+1
Find the value of f(-3)
Thank you in advance!! :)
Click here to see answer by robertb(4012)

Question 424112: What would the axis of symmetry be in the following function?...
h(x)=-4(x+6)^2+7
Thank you in advance!! :)
Click here to see answer by Gersid(33)

Question 424266: I home school, I need to be able to explain this equation to student. I am lost, book is somewhat brief on procedure. Please help! thank you in advance
For the function f(x)=x^2-2x+1,
(a)find f(1)
(b) solve f(x)=0
Graph the function y=f(x)=x^2+1
Thank you for your help regarding this problem
Click here to see answer by AnlytcPhil(1276)

Question 424449: Find the domain of the function.
f(x)=-x+7
type the answer in interval notation
Click here to see answer by stanbon(57290)

Question 424450: Find the domain of the function.
f(x)=sqrt(7x-35)
type answer in interval notation
Click here to see answer by nerdybill(6958)

Question 424675: what is the domain and range of the function y=5x-2?
Click here to see answer by MathLover1(6625)

Question 424839: How do you write a function rule to describe the amount of sales tax as a function of the price of an item purchased if the sales taxis 6%?
Click here to see answer by JoeFourier(1)

Question 425119: michael found 36 coins. 1/4 of them were pennies, 1/3 of them were nickles,1/6 of them were quarters, and the rest were dimes.
tell how many of each coin micheal found.
____ pennies
____ nickles
____quarters
____dimes
2. explain how you found the number of quarters?
3. how much are the coins worth all together ?
Click here to see answer by stanbon(57290)

Question 425321: How do i simplify the expression; -7xy^2/28x^5y?
Click here to see answer by stanbon(57290)

Question 425205: find the indicated outputs for these functions.
h(x)=19 find h(4), h(-6), and h(12)

Click here to see answer by richard1234(5390)

Question 424902: f(x)=3(0.5)^x
what is the domain of f(x):
what is the range of f(x);
find an intercept of f(x);
Click here to see answer by jsmallt9(3296)

Question 425503: I have a hard time with word problems, and would like some detailed explanation of how to solve this. Thanks, Sue
You pay a certain long distance rate that depends on your number of minutes talked. If you talk from 0 to 700 minutes, you pay 20 cents a minute. If you talk 701 to 1500 minutes, you pay 12 cents a minute. If you talk anything over 1500 minutes, you pay 8 cents a minute.
a. Is the number of minutes you talk a function of your long distance rate?
b. Is your long distance rate a function of the number of minutes you talk?
Click here to see answer by josmiceli(9668)

Question 425516: if there a function g that satifies f o g = g o f = f for all funtions? If so, what is it?
Click here to see answer by richard1234(5390)

Question 425942: Hi, Im having trouble coming up with an equation for this problem. Can someone help.
You pay a certain long distance rate that depends on your number of minutes talked. If you talk from 1 to 700 minutes, you pay 20 cents a minute. If you talk 701 to 1500 minutes, you pay 12 cents a minute. If you talk anything over 1500 minutes, you pay 8 cents a minute.
a. Is the number of minutes you talk a function of your long distance rate?
b. Is your long distance rate a function of the number of minutes you talk?

Click here to see answer by Theo(3458)

Question 425967: Determine the value(s) of the variable that must be excluded from the domain.
x + 8
_____
x - 4

Click here to see answer by nerdybill(6958)

Question 426404: find the domain of each of the following functions
f(x)=√x + 6

f(x)=1/√(x + 6)
Click here to see answer by edjones(7569)

Question 426462: Why can't I get even the simplest concepts in algebra? I don't think i'm stupid because I do well in every other subject including geometry. Is algebra some kind of a subliminal filter used to keep most people out of engineering jobs?
Click here to see answer by richard1234(5390)

Question 426628: A block of ice loses one third of its weight every hour. After 2 hours, the block weighs 40 pounds. How much did the block weigh to begin with?
Question 25 answers
Click here to see answer by ewatrrr(10682)

Question 426826: for the function f(x)=2x-1/x+1 what are the horizontal asymptote, vertical asymptote, and zeros
Click here to see answer by stanbon(57290)

Question 426825: for the function f(x)=-ln(x+2) if x = -1.9,-1,1,5?
Click here to see answer by Alan3354(30993)

Question 426936: A little help please!?
Which of the following points will minimize the objective function z = 4x + 3y?
Choose one answer.
a. (1, 1)
b. (2, 4)
c. (5, 2)

Click here to see answer by edjones(7569)

Question 426933: A little help please?!
One of the following points, (1, 1) (5, 2) (2, 4) maximizes the objective function z = -2x +5y, what is the maximum value of z?
Thank you!
Click here to see answer by Alan3354(30993)

Question 426932: Provide an example of at least five ordered pairs that do not model a function. The domain will be any five integers between 0 and 20. The range will be any five integers between -10 and 10. Why does your example not model a function?
Click here to see answer by richard1234(5390)

Question 427087: if x=5,what is the value of 18x+23
Click here to see answer by Alan3354(30993)

Question 427272: What are the domain and the range of each relation? Is the relation a function?
C = {(1/2,5),( -3,7),(3/2,5),(1/2,-1)}
E = {(40, 10), (-18, 27), (38, 10), (57, -15)}
Click here to see answer by robertb(4012)

Question 427904: If i'm given g(1)=5 g(5)=17 what formula should I use to figure out g(-3)
Click here to see answer by Alan3354(30993)

Question 427986: I need help with functions I dont really understand.
the question is asking,for each function find f(-2),f(-1/2),f(3),and f(7)
1.f(x)=5x+2
Click here to see answer by richard1234(5390)

Question 428031: QUESTION: Given the following inputs and corresponding outputs, is the relation a function? Justify your reasoning.
Inputs: {1, 1, 2, 3}

Outputs: {3, -3, 4, 4}
Click here to see answer by Theo(3458)

Question 428246: Which describes the solution set for:
abs(x+2)>10
Click here to see answer by John10(245)

Question 428248: Write an equation for the line that has a slope 3/4 and passes through (-8,1)
Click here to see answer by John10(245)

Question 428892: Good day,
I am doing functions, and i'm trying to get the grasp of how to solve these problems but, i just can't get it. The problem that I have is f(x)= x^2+1 and g(x)=x-2. Determine the following:
1.
I tried solving the following using this method
step 1. f(x)=(x^2+1)-x-2(3)
step 2. f(x)= x^2+1-x-6
step 3. f(x)= x^2-5-x
step 4. x^2-x-5
I just cant quite get it.
Thanks in advance!
Click here to see answer by solver91311(16877)

Question 429592: X-4/x^2+5x-36
Click here to see answer by ewatrrr(10682)

Question 429687: Find the domain of the given function. Express the domain in interval notation
R(x)= 64/x^2-64
Click here to see answer by ewatrrr(10682)

Question 429355: How do you solve 9y squared - 64 =0
Click here to see answer by Alan3354(30993)

Question 429773: How do I find out what the Vertical Asymptote is for this function:
2x^2-6/x^3-8?

Click here to see answer by stanbon(57290)

Question 429773: How do I find out what the Vertical Asymptote is for this function:
2x^2-6/x^3-8?

Click here to see answer by richard1234(5390)

Question 429903: f(x)=sin(x°) G(x)=2x
a. Find expressions for
(i) f(g(x))
(ii) g(f(x)).
b. Solve 2f(g(x))=g(f(x)) for 0≤x≤360
I got f(g(x))= sin2x° and g(f(x))=2sinx
I am unsure if these are correct and I am stuck on part b.
Any help would be greatly appreciated.
Andrew.
Click here to see answer by Alan3354(30993)

Question 430056: given the function h described by h(x)=7x find h(-17)
Click here to see answer by richard1234(5390)

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