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

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Question 885527: What is f(x) = x^8 - 1 divided by x - 1?
Click here to see answer by josgarithmetic(39613)

Question 885594: determine the - x intercept (s)
- y intercept (s)
- vertex/local maixmium/local minimum
- range
- domain
of: y = 4x^2 + 5x - 0

Click here to see answer by josgarithmetic(39613)

Question 885670: For the function h(x)=-(x-5)^2+3, do the following:
(a)Identify the parent function
(b)Describe the transformation from f to h
(c)Sketch the graph of h(x)
Click here to see answer by Edwin McCravy(20054)

Question 885876: convert 2/5 , 5/3 , and 1/2 to from fraction to decimal
Click here to see answer by Alan3354(69443)

Question 885985: f(x)=3x-1 and g(x)=9x-3x

Click here to see answer by oscargut(2103)

Question 885930: Hi, I am needing help with my functions homework. I'd really appreciate any assistance.
For certain pairs of functions f and g. (f o g)(x)=x and (g o f)(x)=x. Show that this is true for each pair of exercises below:
1. f(x)=4x+2, g(x)= 1/4(x-2)
Also help with this one:
Find functions f and g such that (f o g)(x)=h(x)
1. h(x)=(6x-2)^2
2. h(x)= √6x +12
Click here to see answer by rothauserc(4718)

Question 886104: (Hope this is the right section)
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)? Thanks.
Click here to see answer by josgarithmetic(39613)

Question 886121: I a longer word problem that I have not been able to get the second part answered correctly.
Reacting with water in an acidic solution at a particular temperature, compound A decomposes into compounds B and C according to the law of uninhibited decay. An initial amount of 0.60 M of compound A decomposes to 0.55 M in 30 minutes. How much of compound A will remain after 2 hours? .42 is the answer I came up for on this part.
How long will it take until 0.10 M of compound A remains?
I got to .10=0.60e^ln (.55/.60)/30 times t
I then divided both sides by .60 and
ln.10/.60=e^ln(.55/.60)/30 times t
If I'm on the right track I'm kind of stuck now.

Click here to see answer by stanbon(75887)

Question 886196: If f(x) = 3x2 - 2x + 5, find f(-2)
Click here to see answer by rothauserc(4718)

Question 886198: The area of a trapezoid is given by the formula A=1/2
h(B + b). Solved for b, this formula becomes b =

Click here to see answer by josmiceli(19441)

Question 886376: write an equation in the form y = mx + b for the line which contains the points (-8,20) and (-4,0).
Click here to see answer by rothauserc(4718)

Question 886524: y equals the square root of x plus 3
Click here to see answer by jim_thompson5910(35256)

Question 886547: F(x) 4x-3 and g(x) -7x^2-9x+6; (f+g)(x)
Click here to see answer by fcabanski(1391)

Question 886550: For the given pair of functions, find the requested function
f(x)=5x^2-4x-1 and g(x) x-1;( f of g)(x)
Thank you
I do not know if my answer is right but somehow I got 5x^2-4x+8 and the teacher gave us multiple choice and that's not one of the answer choices
Click here to see answer by josgarithmetic(39613)

Question 886665: Suppose my friend Bob has a cat, and he likes it. Consider two scenarios:
1) I take Bob�s cat, and bring it to my house.
2) I take Bob�s cat and stick it in a blender, which I turn on.
Why is scenario 2 very different?

Click here to see answer by JulietG(1812)

Question 886715: For the pair of functions, find the quotient (f/g)(x) and give any x-values that are not in the domain of the quotient function.
F(x) = 14x^2-2 , g(x) 2x
Could you explain the steps if possible. Thank you
Click here to see answer by nerdybill(7384)

Question 886663: Consider f(x) = 2x + 3. Find the inverse of this function. Verbally, compare what f does to x (�multiply by 2, then add 3�) to what f^-1 does to x.
Click here to see answer by josgarithmetic(39613)

Question 886832: How do i get the F(16) From this problem
F(x)= 3x-9 if x <(or equal to)-2
-2/5x if x > -2
Click here to see answer by rothauserc(4718)

Question 886820: Let f(x) = x2�- 8x + 5. Find f(-1)
Click here to see answer by josgarithmetic(39613)

Question 886820: Let f(x) = x2�- 8x + 5. Find f(-1)
Click here to see answer by MathTherapy(10549)

Question 886962: Suppose my friend Bob has a cat, and he likes it. Consider two scenarios:
1) I take Bob�s cat, and bring it to my house.
2) I take Bob�s cat and stick it in a blender, which I turn on.
Why is scenario 2 very different, in terms of compositions and inverses?
Click here to see answer by ankor@dixie-net.com(22740)

Question 887077: The distance traveled by a ball rolling down a ramp is given by s(t)=2.25t^2, where t is the time in seconds after the ball is released, and s(t) is measured in feet. Evaluate the average velocity of the ball for the time interval [1.0,1.1].
Please show me your work in this problem, Thank you!
Click here to see answer by stanbon(75887)

Question 887268: If the range of the function f(x)= 5x − 3 is {-13, -8, -3, 12, 17}, what is its domain?
Click here to see answer by Fombitz(32388)

Question 887320: Using his riding lawnmower, John can mow a baseball field in two hours. John�s son, Logan, using a
smaller lawnmower, can mow the same field in five hours. How long would it take them to mow the
baseball field working together?
Click here to see answer by lwsshak3(11628)

Question 887322: A conservationist wants to estimate the number of trout in a lake. He begins by catching and tagging
100 trout. A week later, he catches 50 trout and finds that 17 of them are trout that he tagged. What
will be his estimation of the number of trout in the lake?
Click here to see answer by josgarithmetic(39613)

Question 887495: Let f(x)=x^2 and g(x)=3x+4 Find the sum of the functions and simplify (f+g)(x)
Click here to see answer by Alan3354(69443)

Question 887510: When a function has an asymptote of y=-3, what's the rage?

Click here to see answer by jim_thompson5910(35256)

Question 887510: When a function has an asymptote of y=-3, what's the rage?

Click here to see answer by Edwin McCravy(20054)

Question 887652: Hi,
having a challenge with two HW questons
1). g(x)=\frac{\sqrt{x-3}}{5-x}
2). Let G(u)=4−3u−u2. Find G(−2u)
G(−2u)= ?

Thank You,
V.

Click here to see answer by josgarithmetic(39613)

Question 887641: graph the function g(x)=log3 (x-2) and give its domain and range using interval notation
Click here to see answer by jim_thompson5910(35256)

Question 887714: 6 2/3 +5/6= must show work
Click here to see answer by jim_thompson5910(35256)

Question 887715: 8 3/4 - 3 1/3=
Click here to see answer by Alan3354(69443)

Question 887887: state the transforamtion necessary to transform
f(x)=1/2(2^3x)-4 to g(x)=8^x

Click here to see answer by Edwin McCravy(20054)

Question 887914: What must be invested today, to be worth $20,000 in 10 years, if it is compounded yearly at 8%?
Click here to see answer by jim_thompson5910(35256)

Question 887915: Write as a sum or difference of simple (single symbol argument) logs: Log [(AB)/(CD)]
Click here to see answer by Fombitz(32388)

Question 887917: The half-life of carbon 14 is 5730 years. How old is a bone containing 20% of its original carbon 14?
Click here to see answer by Fombitz(32388)

Question 888530: For the function, the vertex of the graph is given. Find the unknown coefficients.
y=x^2+bx+c; (4, 9)
Click here to see answer by Fombitz(32388)

Question 888590: find an equation for the graph that has the shape of |x|, but shifted left 9 units and 3 upwards units
Click here to see answer by jim_thompson5910(35256)

Question 888590: find an equation for the graph that has the shape of |x|, but shifted left 9 units and 3 upwards units
Click here to see answer by josmiceli(19441)

Question 887504: Given that f(x) = 10x + 1 and g(x) = x2 + 7x, find ( f o g )(4).
Click here to see answer by Fombitz(32388)

Question 888761: Which of the following relations is a function? A.{�(1,�2),��(1,�3),��(2,�8),��(3,�9)�} B.{�(1,�2),��(2,�3),��(3,�4),��(4,�5)�} C.{�(3,�-1),��(2,�3),��(3,�4),��(1,�7)�} D.{�(3,�0),��(4,�-3),��(6,�7),��(4,�4)�}
Click here to see answer by jim_thompson5910(35256)

Question 889091: Solve for x: 2x + y = 5
x � y = 13
Click here to see answer by Alan3354(69443)

Question 889167: Given the following equations:

y = 8t2 � 6t � 11

and

x = 2t � 7

find y as a function of x and then give the value for f(8).

That is, solve for y in terms of x and replace y with the "f(x)" notation.
Click here to see answer by rothauserc(4718)

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