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

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Question 1044236: Hi can I have some help concerning functions?
A quadratic function is given.
F(x)=x^2-6x
express the quadratic function in standard form.
Click here to see answer by rothauserc(4718)

Question 1044299: The figure shows an open box with a square base. The box is to have a volume of ten cubic feet. Express the amount of material needed to construct the box, A as a function of the length of a side of its square base,x.
Click here to see answer by josgarithmetic(39618)

Question 1044380: What is f(-1) and what is f(3)?
Click here to see answer by MathLover1(20850)

Question 1044401: The graph of the function f(x)=mx+b contains the points (r,3) and (7,s). Express s in terms of r if the graph is parallel to the line 3x-2y=7. The answer is s=-3/2r+27/2 I just don't know how to get there thank you
Click here to see answer by Alan3354(69443)

Question 1044441: Find the average value of the function; :
F(x)=(e^2x)-(e^x) over0 ≤ x ≤ In4
Click here to see answer by robertb(5830)

Question 1044533: find f [g(6)] and g [f(6)].
f(x)=2x-1; g(x)=x^2+5

Click here to see answer by oscargut(2103)

Question 1044606: Kindly help me solving it I tried my best but I couldn't
If f(x)=q�(x-p)/(q-p) + p�(x-q)/(p-q) then f(p)+f(q) is equal to
A)p+q
B)f(pq)
C)f(p-q)
D)none of these
Click here to see answer by Alan3354(69443)

Question 1044610: Please help me solving it I tried my best but I couldn't
If f(x)=ax^2+bx+c then lim {f(x+h)-f(x)}/h is equal to
x-->0
A)ax+b
B)ax+2b
C)2ax+b
D)none of these
Click here to see answer by oscargut(2103)

Question 1044612: Kindly help me solving it I tried my best but I couldn't
lim {(x^2-5x+6)(x^2-3x+2)}/x^3-3x^2+4
x-->2
Click here to see answer by rothauserc(4718)

Question 1044612: Kindly help me solving it I tried my best but I couldn't
lim {(x^2-5x+6)(x^2-3x+2)}/x^3-3x^2+4
x-->2
Click here to see answer by advanced_Learner(501)

Question 1044611: Kindly help me solving it I tried my best but I couldn't
lim (4x^4+5x^3-7x^2+6x)/5x^5+7x^2+x is equal to
x-->0
A)7
B)5
C)-6
D)none of these
Click here to see answer by MathLover1(20850)

Question 1044641:
Click here to see answer by Alan3354(69443)

Question 1044609: lim {√(x-q)-√(p-q)}/x^2-p^2 (p>q)is evaluated as
x-->p
A)1/p√(p-q)
B)1/4p√(p-q)
C)1/2p√(p-q)
D)none of these
Click here to see answer by solver91311(24713)

Question 1044670: Kindly help me solving it I tried my best but I couldn't
lim {(e^x+e^(-x)-2)(x^2-3x+2)}/(x-1)
x-->0
is equal to
A)1
B)0
C)-1
D)none of these
Click here to see answer by ikleyn(52794)

Question 1044671: Kindly help me solving it I tried my best but I couldn't
lim (1-x^(-1/3))/1-x^(-2/3) is equal to
x-->1
A)-1/2
B)1/2
C)2
D)none of these
Click here to see answer by ikleyn(52794)

Question 1044677: Kindly help me solving it I tried my best but I couldn't
lim (1/x)log(1-x/2) is equal to
x-->0
A)-1/2
B)1/2
C)2
D)none of these
Click here to see answer by MaxWong(38)

Question 1044598: Considering the following problem:A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river . What are the dimensions of the largest area that he can fence?
a. Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimensions of the largest possible field.
b. Find a function that models the area of the field in terms of one of its sides.
c. Use your model to solve the problem, and compare with your answer to part (a).
Click here to see answer by josmiceli(19441)

Question 1044683: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river . What are the dimensions of the largest area that he can fence?
a. Find a function that models the area of the field in terms of one of its sides.
b. Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimensions of the largest possible field.
Click here to see answer by advanced_Learner(501)

Question 1044669: Kindly help me solving it I tried my best but I couldn't
lim {√(3x^4+5x^2+7x+5)}/4x^2
x-->infinity
is evaluated as
A)√3/4
B)√3
C)-1/4
D)none of these
Click here to see answer by advanced_Learner(501)

Question 1044689: f(x)=square root of x-5
Click here to see answer by Alan3354(69443)

Question 1044676: Kindly help me solving it I tried my best but I couldn't
lim {(x+2)^(5/3)-(p+2)^(5/3)}/x-p is equal to
x-->0
A)p
B)1/p
C)0
D)none of these
Click here to see answer by ikleyn(52794)

Question 1044732: when the function y= g(x)is graphed in the x-y plane, it has a minimum value at the point (1, -2). What is the maximum value of the function h(x)= -3g(x)-1?
** If possible, it would be great if there was a graph incorporated with the equation as well.
Click here to see answer by jim_thompson5910(35256)

Question 1044767: For the set {(0,1), (-3, 7), (4, 6), (5, 0), (4,8)},
a. State the domain.
b. State the range.
c. Is this relation a function? Why or why not?
Click here to see answer by jim_thompson5910(35256)

Question 1044770: Kindly help me solving it i tried my best but I couldn't lim is equal to
x➡infinity
A)6^4
B)1/e^5
C)e^5
D)none of these
Click here to see answer by robertb(5830)

Question 1044768: Kindly help me solving it i tried my best but I couldn't
lim {4^(x+1)-4}/2x
x ➡0
A)does not exist
B)exist and is equal to 4
C)exist and is equal to 4log 2 to the base e
D)none of these
Click here to see answer by robertb(5830)

Question 1044766: Kindly help me solving it i tried my best but I couldn't
lim (10^x-5^x-2^x+1)/x^2 is equal to
x➡0
Click here to see answer by robertb(5830)

Question 1044766: Kindly help me solving it i tried my best but I couldn't
lim (10^x-5^x-2^x+1)/x^2 is equal to
x➡0
Click here to see answer by ikleyn(52794)

Question 1044765: Kindly help me solving it i tried my best but I couldn't
lim (x^2-1)/sqrt(3x+1)-sqrt (5x-1) is evaluated as
x➡0
A)4
B)1/4
C)-4
D)none of these
Click here to see answer by robertb(5830)

Question 1044786: Kindly help me solving it i tried my best but I couldn't lim
x➡1
A)3
B)-1/3
C)-3
D)none of these
Click here to see answer by advanced_Learner(501)

Question 1044841: please help me solve this equation. Find f(x + h) when f(x) = -3x+5 over 7x+4
Click here to see answer by MathLover1(20850)

Question 1044841: please help me solve this equation. Find f(x + h) when f(x) = -3x+5 over 7x+4
Click here to see answer by Boreal(15235)

Question 1044838: Please help me solve this. Detailed workings would be very much appreciated! Many thanks.
The functions of f and g are given by: f(x)=〖2x-3〗^2 and g(x)=7x+20
1) Find (f+g)(x) in the form of 〖ax〗^2+bx+c
2) Find the value of f � g(2)
Click here to see answer by Alan3354(69443)

Question 1044820: the minimum value of the function y=h(x) corresponds to the point (-3,2) on the x-y plane. What is the maximum value of g(x)=6-h(x+2)?
Click here to see answer by MathLover1(20850)

Question 1044852: How do we work this problem out?

If f(x)=x^2 + 6, find f(-2).
Thanks in advance for any help. I'm a mom trying to figure out a simple question (Its been 35+ years since I did HS Algebra)

Click here to see answer by josgarithmetic(39618)

Question 1044858: Hello!
My question is: find the domain of the function f(x)= (x^2-16)/7
I have tried to research how to figure this out, but I am unclear of the steps to find a solution. All I know is that x apparently can be any rational number so it is infinite? I am unclear of the steps to figure this out. Thank you so much!
-Jamie M.

Click here to see answer by MathLover1(20850)

Question 1044862: What is the domain and range of f(x) = |x+2|/(x+2) + |x+3|/(x+3)?
Click here to see answer by Boreal(15235)

Question 1044866: My question is: find the domain of the function f(x)= (x^2-16)/7
I have tried to research how to figure this out, but I am unclear of the steps to find a solution of what the domain would be. Thank you so much!
-Jamie M.

Click here to see answer by josgarithmetic(39618)

Question 1044861: What is the domain and range of f(x) = |x+1|/(x+1)?
Click here to see answer by josgarithmetic(39618)

Question 1044894: Kindly help me solving it i tried my best but I couldn't
The value of
lim is
x➡0
A)uvw
B)log uvw
C)log (1/uvw)
D)none of these
Click here to see answer by KMST(5328)

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