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

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Question 19186: Solve this problem.
Office space. The length of a professor`s office is x feet, and the width is x + 4 feet. Write a polynomial that represents the area. and find the area if x = 10ft.

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Question 19322: We are learning about "f of g" (fog as the teacher calles it) and "g of f" (gof as the teacher calles it)! Please explain the procedure for this!
Perform the following operation on the listed problem (a) f of g, & (b) g of f;
f(x) = 2x + 1 g(x) = 3x - 2
Thank you so much!
Sheri

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Question 19333: 3(x-6)+6=5(x+2)-12
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Question 19341: Hello
My daughter need help finding the domain of the rational function.
f(x)=x^2-36/x^2-7x+6
Thanks

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Question 19427: Chage the fraction 93/1000 to a decimal
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Question 19431: A druggist is perparing a medication. Each caspsule reqires 0.007 gram of aspirin. He has 14grams of aspirin. How many capsules can he prepare?
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Question 19030: my son needs three interesting facts about algebra
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Question 19530: how do I solve this problem [please show step by step]

9t-(2t-8)=1

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Question 19592: What is the funtion of fof; gog; given f(x)=3-5x and g(x)=1-3x? I understand that gof is equivocated to g(f(x)) but don't understand how to do fof & gof.
Click here to see answer by venugopalramana(3286) About Me 

Question 19885: Why do mathmagicians use the letter m for slope in the function y=mx+b?
Click here to see answer by christinaaa192(28) About Me 

Question 19704: how do u solve : Graph the soulution set if the domain is { -2, -1, 0 , 2, 4} problem : 3x-y=10
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Question 20298: Can you help me solve for P:I=Prt ?
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Question 20363: State the domain and range of the function f(x)= x(squared)- 3
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Question 20373: For f(x)= 2x-5 and g(x)= 3-x , find (f (times) g)(-2)
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Question 20565: Is the following true or false?
The set of whole numbers is closed under subtraction
The set of whole numbers is closed under multiplication
The set of whole numbers is closed under division
Thanks,
Teri

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Question 21179: Please help me solve this:
Find the missing coordinate in the following solution for y=-4x+2:(-1,?)
Thanks

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Question 21178: Please help me solve this:
Let g(x)= -2(xsquared)+x+2. Find g(2) and g(1/2).
Thanks

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Question 21177: Please help me solve this:Write the equation 2x=3y-6 in standard form
Thanks

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Question 21543: 4-2y=10-6y what does 'y' equal?
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Question 21884: 12x+44=x
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Question 21909: ok! i have no earthly idea what anyone is talking about, i have final exams next week, i have a 46 in algebra right now, were in graphing and slopeing and stuff and i neeed some help. can anyone explain it simplier?
Click here to see answer by queenofit(120) About Me 

Question 21877: rewrite the equation in function form:

-3x-4y=6


3/2(x-6y)=-8

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Question 21874: let f(x)=3-x and g(x)=x^2-1
h(x)=(g(x))f(x)

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Question 21862: x^2-2x=4x+16
for x

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Question 22006: How do you find the domain and range
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Question 22210: I've had a problem with math since 5th grade and just last yeat in 8th grade I've been taking a math tutorial class, but all we learn is fractions and decimals. I'm afraid to confront a teacher about my confusions in algebra it because to get the topic fully in my head, i'll be too behind in class. I have a low "B" in my algebra class, and I'm trying to go for an "A" student because I'm technically in high school now. 9th grade.
We were just introdouced to functions, graphing, domains, and ranges. And I really don't want to get lost on this unit. Please can you try your hardest to go through step by step, these functions, and go through several problems about every one of these certain topics?

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Question 22233: 6(X+9)+9=-7{9X+5)+7x

SOLUTION
TO GET THE VALUE OF X =
6(X+9)+9= -7(9X+5}+ 7X
6X+54+9 = -63x-35+7X BY MULTIPLYING THE BRACKET OUT
6X+63X-7X = -35-54-9 BY COLLECTING THE LIKE TERMS BY ISOLATING THE UNKNOWN
62X = -98
X= -98/62
X= -1.58
WE CAN ALSO CHECK IF WE ARE RIGHT BY SUBTITUTING -1.58 IN THE EQUATION,IF WE DO SO THE LEFT HAND SIDE MUST EQUAL TO THE RIGHT HAND SIDE.
Let's see.
6x+54+9= -63x-35+7x
6(-1.58)+54+9 = -63(-1.58)-35+7(-1.58)
-9.48+54+9 = 99.54-35-11.06
53.52 = 53.48
54=54
SO OUR VALUE OF X is correct.

Click here to see answer by MORUPHOSUOLALE(24) About Me 

Question 22363: Is this correct?
(5x^2-20)/(x^2+x-2)=
5(x^2-4)=
5(x+2)(x-2)=
(5(x-2))/(x-1)

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Question 22362: Please help me solve this equation f%28x%29=%28x%5E2-x-12%29%2F%28x-2%29
Find: (x+3)(x-4)/x-2
(a)domain: +3 or -4
(b)zeros,if any: All real numbers except 0 and -2
Is this correct?

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Question 21873: HOw is the graph of y=x^2-4 obtained from the graph of y=x^2?
Click here to see answer by MORUPHOSUOLALE(24) About Me 

Question 22495: what does this mean again? |3| and if it is -|6| when do you change the sign that is in front?
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Question 22422: The points (0,3) and (3,5) lie on the graph of a linear function f. Find f(x)
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Question 22507: Find the slope of the graph of the linear function of f
f(6) = -1, F(3)=8 I know the answer (-3) I just don't know how to get it.

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Question 22539: why is math so difficult some times and why am i such a retard.
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Question 22548: 16(7n+8)=-8(5n-(65))
this seems difficult but i came up with
240n=2600n
can you explain what i did wrong

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Question 22731: I need to see if I got this answer correct. -3xtothe 1/4power (y1/2power) (-2x1/2power y1/3 power) i got x5power y2power x0.49? help me
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Question 22668: Solve for x
16 - 3x = 2x

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Question 21826: I'm studying for the cbest test and unfortunatly when I was in school
I never did study algebra and I ran in to a few that really stumped me
and well I do not think i can pass this test if i do not learn how
they find out what y or x is. My son is cute he is trying to teach me
but I think that this way I can get help from here also.
if not thats ok I can always go get a bunch of books.
julie

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Question 22835: Okay. This is a relation (set of ordered pairs) that I have to write an equation for...
(2,12)(1,48)(-1,48)(-2,12)(-4,3)
x : 2,1,-1,-2,-4
y : 12, 48, 48, 12, 3
Okay, I'm supposed to divide the range difference by the domain difference. Well, obviously I have more than one difference so :
range difference : 36, 0, 9
domain difference : 1, 2
So would I divide the 36/1 = 36, 0/2 = 0, and then...9/1??? Or am I going about this entirely wrong? (like I think I am)

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Question 22642: How do you solve: 3000=2000(1+.06)^t.
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Question 22842: the quotient when 3 more than a number is divided by 3 less than that same number
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Question 22834: I believe this would be the best place to ask...Okay, this is a relation (set of ordered pairs) that I have to write an equation for. The set is :
(-3,10)(-2,5)(-1,2)(0,1)(1,2)(2,5)(3,10)
x : -3, -2, -1, 0, 1, 2, 3
y : 10, 5, 2, 1, 2, 5, 10
I'm supposed to divide the range differences by the domain differences :
range difference : 5, 3 1
domain difference : 1
But, if I divide 5/1, 3/1 and 1/1, I end up with 5, 3 and 1, as any number divided by 1 is that number. So where do I go from here and how do I get there???

Click here to see answer by venugopalramana(3286) About Me 

Question 22602: If f(x)=3x+11, what is the value of (f^-1 o f)(2)....I don't even know where to start on this one!!!
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