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

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Question 275721: How to I find f(g(x)) and g(f(x)) ?
f(x) = x^2 - 5x + 2
g(x) = 2x
Would someone please show me how to solve these?
Thanks a million!
Click here to see answer by stanbon(75887)

Question 275809: Why is the area of a square a function of the length of the side of the square?
why is the key word.
Click here to see answer by stanbon(75887)

Question 276239: The gravitational force between two objects varies inversely as the square of the distance between the objects. If a force of 25 pounds results from two objects that are 6 miles apart, how much force results from two objects that are 15 miles apart?

Click here to see answer by scott8148(6628)

Question 276322: find the domain of the function g(x)= the square root of 11-x
Click here to see answer by edjones(8007)

Question 276577: I dont know exactly what topic this is in but i need to write a rule for a function table: here are the variables
X - (-2) (-1) (0) (1) (2)
Y - (1/121)(1/11)(1)(11)(121)
Click here to see answer by solver91311(24713)

Question 276619: 18r 4s5t6
_____________
-3r 2st3=

Click here to see answer by user_dude2008(1862)

Question 276896: how does x+5/x-5 - x-5/x+5= 20x/(x-5)(x+5) ---I do not understand how to get the answer, where does the 20 come from??
Click here to see answer by stanbon(75887)

Question 277568: I need some help with 2 word problems...
the sum of two positive integers is 25. The difference of their squares is 275. what are the two integers?

find the dimensions of a rectangular rug whose length is 5 feet longer than its width and whose area is 66 square feet
thanks so much :)
Click here to see answer by JBarnum(2146)

Question 277613: Find the domain of each of the following functions.
Write the domain in interval notation.
f (x) = 2x + 60
Click here to see answer by jim_thompson5910(35256)

Question 277488: Write an equation for each relation.
n (-4) (-2) (0) (2) (4)
m(n) (-11) (-3) (5) (13) (21)
The above is a table.
I have tried:
The difference in range numbers is +8. The difference in domain numbers is +2.
Range difference over domain difference is: 8/2=4 Is the correct function
m(n)=4n ? Thanks for your help.
Click here to see answer by scott8148(6628)

Question 278152: Not sure where to start with this one:
An orchard contains 30 apple trees, each of which yields approx 400 apples over the growing season. The owner plans to add more trees, but the guys at Texas A&M advise that b/c of crowding, each new tree will reduce the average yield per tree by about 10 apples over the growing season. How many trees should be added to maximize the total yield of apples, and whit is the maximum yield?
x=30
y=400 I think, but how do I plug this into a quadratic function? Or is that even the direction I need to go?
Click here to see answer by jim_thompson5910(35256)

Question 278141: I was hoping to check the solution to a word problem:
An airline chart shows that the temperature T in degrees Fahrenheit at an altitude, h, of 15000ft is 5. At an altitude of 20,000ft T=-15. If T is a linear function of h, write a function to describe this. What do the slope and y intercepts tell you in the context of this problem?
F(h)=-.004(h)+65
As your altitude increases, the temperature decreases.

Thanks in advance for your help! -Courtney
Click here to see answer by jim_thompson5910(35256)

Question 278482: How do you solve questions like f(0)=2, f(2)=4 and write an equation for the linear function?
Click here to see answer by Edwin McCravy(20056)

Question 276518: One of the accepted functions used to express this correspondence is: h(x) = 1.95 x + 72.85.
where (the domain) x= length of the femur bone in cm and (the range ) h is the height of the female subject in cm. (Brand, 2009).
Show all detail calculations and find answers to 2 decimal precision.
a) Find the height of a female whose femur is 35 cm long

b) Find the length of a femur in a female who is 165 cm tall.

c) What is an invalid value for the domain in this function. Using the function, show why it is invalid using lucid and correct algebraic detail calculations.

Click here to see answer by wayne2343(1)

Question 278610: Among all rectangles that have a 20 ft perimeter find the dimensions of the one with the largest area?
Click here to see answer by solver91311(24713)

Question 278657: If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what?

thank you, your help is very much appreciated.
Click here to see answer by nyc_function(2741)

Question 278812: How do you solve:
What is the domain and range of f(x) = (x-5)^2 - 3?
Thank you!
Click here to see answer by stanbon(75887)

Question 279694: Can you please assist me with this problem.
Find all real solutions of the equation. (x^2+1)^2 - 18(x^2+1) = - 17.
Click here to see answer by mananth(16946)

Question 279696: Hi Guys,
The problem give was to find the perfect square trinomial whose first two terms are q^2 + 3q. I came up with: q^2 + 3q + 9/4
Can you let me know if this is correct?
Thanks

Click here to see answer by Alan3354(69443)

Question 279825: f(x) is a linear equation. If f(4)=5 and f(6)=12, what is the slope of the graph f(x)?
Click here to see answer by Alan3354(69443)

Question 280087: find domain of the function
gx= _2_
5-7x

Click here to see answer by stanbon(75887)

Question 280048: Function and Model:
Consider the various tasks and activities completed through out your day. Identify one such task / activity that could be readily described via function.
Please help. I need an example.
Click here to see answer by stanbon(75887)

Question 280563: Is this relation a function? {(2,4), (3,2), (4,6), (5,4)}

Click here to see answer by richwmiller(17219)

Question 280807: find f(g(x)if f(x)=x2 and g(x)=-1
plot 3x=6y =12
y=5
x=2
Click here to see answer by stanbon(75887)

Question 280809: find the midpoint between (0,0) and (1,1)
Click here to see answer by Alan3354(69443)

Question 280861: what is the domain of f(x)=-√3-2x
Click here to see answer by nabla(475)

Question 280888: please help me solve the followin function:
f(x)= x^2-6x+2
Click here to see answer by nabla(475)

Question 280959: i am supposed to use the factor theorem to determine if (x-3) is a factor of f(x)=x^4+12x^3+6x+27 how do i do this
Click here to see answer by stanbon(75887)

Question 281105: find the domain R(x)=3+2x/x3+x2-2x
Click here to see answer by edjones(8007)

Question 281224: Can you help solved the domain of (1)/(sqrt(19x+16)) Thank You
Click here to see answer by stanbon(75887)

Question 281393: A movie stunt double jumps from the top of a building 50 ft above the ground onto a pad on the ground below. The stunt double jumps with an initial vertical velocity of 10 ft/second. Write and graph a function that models the height (in feet) of the stunt double t seconds after she jumps. How long does it take the stunt double to reach the ground.
Click here to see answer by Mathematicians(84)

Question 281333: solve g(5) if
g(x) = {-12 if x=0
{g(x-1)+x if x>0
Click here to see answer by Inkyvoyd(17)

Question 281600: Given the function h described by h(x)=x+8, find each of the following. h(x+5)
Click here to see answer by Mathematicians(84)

Question 281844: How do you solve a mixture problem like this?:
One solution is 80% acid and another one is 30% acid. How many of each solution is needed to make a 200L solution that is 62% acid?
Click here to see answer by mananth(16946)

Question 281846: I am looking for a function rule for the following:
n f(n)
1 3
2 5
3 8
4 12
Click here to see answer by subudear(62)

Question 282221: Find the domain of the function: g(x)=1/10-7x.
Click here to see answer by Mathematicians(84)

Question 282229: Is y=4x^3 symmetric with the y-axis, x-axis, origin, or none?
Click here to see answer by Alan3354(69443)

Question 282359: What is the domain of the function. g(x)=5/5-4x. a) {x|x is a real number and x does not equal 0. b) {x|x is a real number and x does not equal 5. c) {x|x is a real number and x is greater than or equal to 5/4}. d) {x|x is a real number and x does not equal 5/4}.
Click here to see answer by edjones(8007)

Question 282414: Graph the function by plotting points
f(x)=1/2x+8
Click here to see answer by solver91311(24713)

Question 282611: What is the domain if f(0)=0 and f(-2)=4? {x| }
Click here to see answer by solver91311(24713)

Question 282873: Hello,
This question is from our online homework.
The domain of the function
x+10
-----
x^2-1
Write the answer in interval notation.
I know that x cannot =1 or the denominator would = 0, I am pretty sure it is a multi-part answer needing the U symbol, but no matter how I enter it I get an incorrect answer. I know when you have infinity you always use (or). I may be confused on when to use [ and ].
Any help would be greatly appreciated.
Thanks!
Click here to see answer by Alan3354(69443)

Question 281941: the domain of the function f(x)X:x^3-5 is D= {0,1,2,3,4}. find the range of F
Click here to see answer by user_dude2008(1862)

Question 281933: what is the the domain of 2x squared minus 1
Click here to see answer by user_dude2008(1862)

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