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

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Question 628429: Find f(x) and g(x) so that the function can be described as y = f(g(x)
y = (9)/(x^2) + 2

Click here to see answer by Tatiana_Stebko(1539)

Question 628649: Area of the region of a circle that is divided in 1/2 noted as 4 inches
the answer needs to be the area = ? inches ^2
Click here to see answer by Alan3354(69443)

Question 628852: y=6-4/x
Click here to see answer by Alan3354(69443)

Question 628953: the general form of the constant function is : f(x)=a(x^0), where a is constant.
So when the function passes by any point on the y-axis, the function will be :f(x)=a(0^0).
This means there must be a hole in the point of intersection of the y-axis and the constant function on the graph because (0^0) is undefined.
So why don't we draw the hole on the Cartesian coordinate plane ?
Click here to see answer by stanbon(75887)

Question 628993: find the function and determine the domain and range: y = 3x � 4
im so stuck on this? i need help. and steps please
Click here to see answer by reviewermath(1029)

Question 629013: g(x)=2x/x exponent 2-16
Click here to see answer by solver91311(24713)

Question 629043: Find the domain
y=√60x-25x^2-36
Please note that the square root sign cover not just 60x but 60x-25^2-36.

y=√5x^2+6x+1+1/3x+5
Please note again that the square root sign cover 5x^2+6x+1.
Click here to see answer by solver91311(24713)

Question 629437: I need help with the following:
Find p(3a-5)
P(x)=-6x-10
Answer: p(3a-5)=

Click here to see answer by jsmallt9(3758)

Question 629477: Find function value
f(z^2)
formula is f(x)=x^2-3x+3
Click here to see answer by reviewermath(1029)

Question 629478: Find function value
g(3)
formula is g(x)=2x^2-1
Click here to see answer by reviewermath(1029)

Question 629479: Find function value
f(4)
formula is f(x)=x^2-3x+3
Click here to see answer by reviewermath(1029)

Question 629480: find function formula
f(z)
formula is f(x)=x^2-3x+3
Click here to see answer by reviewermath(1029)

Question 629482: find function value
g(w^3)
g(x)=2x^2-1
Click here to see answer by reviewermath(1029)

Question 629549: Find f(-3) if f(x) = x 2
Click here to see answer by jim_thompson5910(35256)

Question 629778: find dy/dx for Square root of x + the square root of y = 9. at (16,25)
Click here to see answer by reviewermath(1029)

Question 629793: find dy/dx for x^2y - xy^2 = -6 at (2,-1)
Click here to see answer by solver91311(24713)

Question 629730: What is the inverse of ((1,7) (3,4) (5,6) (-1,4))
Click here to see answer by jsmallt9(3758)

Question 629779: find dy/dx for 2sinxcosy=1
Click here to see answer by jsmallt9(3758)

Question 629920: 5. Determine the point-slope form of the linear function f(x) that has the following properties:
f(1) = 0
f(0) = 1

Click here to see answer by ewatrrr(24785)

Question 629919: 4. Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties:
g(2) = 9
g(-1) = -1
Click here to see answer by ewatrrr(24785)

Question 629968: I've been trying to do this problem for a while.
2. The Iron Range Steel Company determines that a monthly production
level of 10,000 tons of steel allows for a sell price of $206/ton. Doubling production
results in a price drop to $166/ton. Find the price y in terms of the
number x of tons of steel produced and sold. Assume that the graph of y to
x is linear. How much steel must Iron Range produce if the sell price is set at
$190/ton?
3. Find the revenue function R = xy for the Iron Range Steel Company in
problem 3. Write R in the form: R = ax2 + bx + c.
A. Find the vertex.
B. What is the maximum revenue?
C. How many tons of steel should be produced and sold in order to obtain
maximum revenue?
D. What price should be charged/ton to guarantee that the company earns
maximum revenue?
I found the slope of the line to be -.004 by using 206-166 over -10000 making the linear equation y=-.004x+40 However when i get to trying to find how much steel in terms of 190 per ton im lost.
also i am not sure what to do with #3 in terms of writting it in
Click here to see answer by stanbon(75887)

Question 629996: Hello I am working on even, odd, or neither functions. I have been doing great on most of them until I hit one that i really do not get.
My question: is log(x^2/y) even, odd, or neither?
i know that when log(x/y) it is the same as logx-logy. I tried separating it like that, and then changing the sign. so my problem was like :
log(x^2/y)= logx^2-logy
f(x)=logx^2-logy
f(-x)=-logx^2+logy
this function is odd.
I do not know if i am doing it right, I would just want to know how to do it. Thanks
Click here to see answer by jsmallt9(3758)

Question 630043: the reciprocal of 7/3 is

Click here to see answer by stanbon(75887)

Question 629914: two function f and g are defined by :
f(x)=2x+1
g(x)=x^2
verify that (fog)^-1 = g^-1 o f^-1
Click here to see answer by jsmallt9(3758)

Question 629913: find inverse for each of the following function..
x-1/x + 2
Click here to see answer by jsmallt9(3758)

Question 629912: find inverse for each of the following function..
3/x minus 2
Click here to see answer by jsmallt9(3758)

Question 630005: What is the Range of g(x)= square root x-1? and please explain
Click here to see answer by jsmallt9(3758)

Question 630131: Please help me solve this problem.
Describe how patterns a and b are related.
a=4 b=16
a=3 b=8
a=2 b=4
a=1 b=2
a=0 b=?
a=-1b=?
a=-2 b=?
I know that each one is a-1 and b/2. But I do not under stand how to write the relationship.
Click here to see answer by Alan3354(69443)

Question 630223: find inverse..
(x-1) / (x+2)
Click here to see answer by jsmallt9(3758)

Question 630300: What is the Degree, Domain and Range of the function f(x)=3x^2-2x^4+5-x^3
Thank You
Click here to see answer by lynnlo(4176)

Question 630458: Please help me with this problem, using the piecewise function:
f(x)= $5o if o< x < 60
4/3x - 30 if x > 60
this function describes the rate of a computer repairman.
The question is what is the cost if the repairman works for 45 minutes?
Thanks.
Click here to see answer by rapaljer(4671)

Question 630460: What is the cost a computer repairman if he works for 105 minutes, using the piecewisw function;
f(x)= $50 if 0< x < 60
4/3x - 30 if > 60
thanks
Click here to see answer by Tatiana_Stebko(1539)

Question 630765: Find the domain and range of the function: f(x)= sqrt(64-x^2)
for the domain i got (-8,8)
and range (1,8)
Click here to see answer by dfrazzetto(283)

Question 630709: given: f(x)=3x+5 and g(x)=4x-2
question: answer f(g(x))
Click here to see answer by nerdybill(7384)

Question 630818: Given f(x)=x^2
Find (f(x-4)-f(4))/x , x =/ 0
Click here to see answer by stanbon(75887)

Question 630997: can u help me..
composite function..
f(x)=x^2 - 1
g(x)= 1/sqrt x + 1
fog(x)
Click here to see answer by stanbon(75887)

Question 631065: What's a function?
Click here to see answer by 55305(86)

Question 631069: f(x)=-3x-6 and g(x)=5x+2
find f(x)+g(x)
Click here to see answer by ewatrrr(24785)

Question 631105: f(x) = 5x - 6 and g(x) = x2 - 5x + 6, find the function (f + g)(x)
Click here to see answer by Tatiana_Stebko(1539)

Question 631194: What is the domain of X^4 - 1
Click here to see answer by jim_thompson5910(35256)

Question 631264: Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3
a. (f+g)(x) B.(f-g)(x) c. (fg)(x) d. f o g Thanks
Click here to see answer by solver91311(24713)

Question 631551: Please help me with this inverse function.
Show that f(x)= -2x + 19 has the inverse of f^-1(x)= x-19/-2 by finding
f^-1(f(x))

Click here to see answer by stanbon(75887)

Question 631649: f(x)=2x^2-16x-7
I found the vertex which is (4, -39)
I am looking to find the domain of "f" I'm not understanding how this is obtained.
Click here to see answer by jim_thompson5910(35256)

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