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

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Question 101006: find the domain of the function f(x)= 1
-------
2
x + 7x - 8
Click here to see answer by edjones(8007)

Question 101579: what is the slope of y=1/2x-3?
Click here to see answer by doukungfoo(195)

Question 101718: find the difference quotient for f(x)=2x^2-5x-3. I have absolutely no idea.
Click here to see answer by stanbon(75887)

Question 101722: having trouble with this problem: find f^-1(I mean inverse)(x), given f(x)=5x-4 thanks so much
Click here to see answer by stanbon(75887)

Question 101721: Having trouble. Can you help? Evaluate (f o g)(3), given that f(x)=x^2-5x+1 and g(x)= sqrt(x+1). Thank you.
Click here to see answer by stanbon(75887)

Question 101728: An aircraft descends from an altitude of 1000 feet at the rate 120 feet per minute.
Write a function that represents the altitude of the aircraft after any give number of minutes
Click here to see answer by stanbon(75887)

Question 101817: Find F(-1)given F(x)=2x+1
Click here to see answer by bucky(2189)

Question 101811: Given the function f(x)=(6/5)x+3;find f(-25)
Click here to see answer by elima(1433)

Question 101816: The area of an Equilateral Triangle with sides of length "S" can be found by the function F(S)=1/4(3)1/1S2. Find the area of an equilateral triangle with sides of length 4.5. Round your answer to the nearest tenth.
Click here to see answer by elima(1433)

Question 102062: Please help me. I am trying to make corrections on homework from the last 2 weeks and am having trouble!
find values for each given function with the set of real numbers as the domain:
m(y)=y(1-2y) a. m(-1/2) b. m(1/2) c. m(0)
I have gotten that b. is zero and c. is zero, cannot get a.
thank you!
Click here to see answer by Fombitz(32388)

Question 102091: A cab company advertises $0.45 per mile (or part of a mile) plus a $2.00 minimum charge. Based on this information, write a linear function that describes the price of a cab ride in terms of the miles traveled.
Click here to see answer by 400017209(1)

Question 102105: 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 Fombitz(32388)

Question 102150: Determine the slope of the line that passes through each pair of points. If the slope is undefined, write "no slope".
(5, 9) and (5, -3)
Click here to see answer by stanbon(75887)

Question 102149: Determine the slope of the line that passes through each pair of points. If the slope is undefined, write "no slope".
(-8, 7) and (5, -2)
Click here to see answer by jim_thompson5910(35256)

Question 102090: The value of a computer after t years is given by the depreciation function V(t) = $2000 - 150t. What is the value of the computer 3 years after it is purchased?
Click here to see answer by doukungfoo(195)

Question 102268: Find the difference quotient for -f(x)= x^2-3x+5
Click here to see answer by stanbon(75887)

Question 102319: Given h(x)=-3(3-x)/x, solve for h(x+a)-h(x).
Click here to see answer by Fombitz(32388)

Question 102420: If f(x)=5x-1 find the following:

f(a-2)
Click here to see answer by oberobic(2304)

Question 102432: please help me solve this : givin f(x)=7/x and g(x)=3x^5 , find (g of f)(x)
Click here to see answer by jim_thompson5910(35256)

Question 102456: The population of Windham is growing at an annual rate of 0.5%. If the current population is 12,520, one function that can be used to predict the future population of Windham is P(t) = 12,520(1.005)^t where t represent time in years. Use this function to predict the population of Windham in 10 years.
Click here to see answer by stanbon(75887)

Question 102457: if f(x)=x(x+1)(x-4), use interval notation to give all values of x where f(x)>0
Click here to see answer by edjones(8007)

Question 102466: My book doesn't give much help on solving this. Find the domain of f(x)3x+1/
x^2+4

Click here to see answer by jim_thompson5910(35256)

Question 102462: find the inverse of the function f(x)=x^1/3+2
Click here to see answer by oso111(1)

Question 102465: the degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots. Express f(x) as the productof of linear and quadriatic polynomials with real coefficients
Click here to see answer by Edwin McCravy(20056)

Question 102473: I'm not sure if I am solving this problem correctly. The problem is find the domain h(x)=x+3/x-4
This is my work so far x-4=0
x=4
(-4,0)U(0,4]
Can someone tell me if this is right.
Click here to see answer by jim_thompson5910(35256)

Question 102423: Solve the following applications involving functions.

If the inventor in exercise 53 charges $4 per unit, then her
profit for producing and selling x units is given by the function
P(x)=2.25x-7000

(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Click here to see answer by JP(22)

Question 102467: if a piece of real estate purchased for $50,000 in 1998 appreciates at the rate of 5% per year, then its value t years after the purchase will be f(t)=50,000(1.05^t). Accordiing to this model, by how much will the value of this piece of property increase increase between the years 2007 and 2008?
Click here to see answer by josmiceli(19441)

Question 102494: Can someone help me please!!! Determine whether the equation defines y as a function of x
x^3 y-2y=6
Click here to see answer by stanbon(75887)

Question 102455: The future population of a town t years after January 1, 1995 is described in thousands by function P(t) = 120 + 4t + 0.05t2. Calculate the value of P(5) and explain it means.
Click here to see answer by bucky(2189)

Question 102587: Please give a defined example so that I may understand how in real life where functions are utilized? ASAP
Click here to see answer by stanbon(75887)

Question 102768: For f(x)=√(x-3) and g(x)=x^3
a) the domain of f
b) the domain of g
c) (f-g)(x)
d) (fg)(x)
e) the domain of (f/g)(x)
Click here to see answer by edjones(8007)

Question 102768: For f(x)=√(x-3) and g(x)=x^3
a) the domain of f
b) the domain of g
c) (f-g)(x)
d) (fg)(x)
e) the domain of (f/g)(x)
Click here to see answer by Nate(3500)

Question 101893: If k(r)=7-4r, find k(1+h)-k(1)
___________
h
Click here to see answer by Fombitz(32388)

Question 103121: f(x)=-5x-2 x=4
Click here to see answer by MathLover1(20850)

Question 103121: f(x)=-5x-2 x=4
Click here to see answer by chitra(359)

Question 102087: evaluate f(-3) for the function f(x) = 5x2(squared) - 2x - 4
Click here to see answer by edjones(8007)

Question 103119: f(x)=-5x-2 x=4
Click here to see answer by MathLover1(20850)

Question 101742: 3a+4-{-2-[-3-(a-1)]}
Click here to see answer by edjones(8007)

Question 103358: This is coming from the University of Houston online textbook, section 3.6 #39, if that helps anyone else. I'm not sure how to get "fog" when there is a number to multiply by.
Given the functions f (x) = x2 + 2 and
g(x) = 5x − 8 , find:
(a) f (g(1)) (b) g(f (1))
(c) f (g(x)) (d) g(f (x))
(e) f ( f (1)) (f) g(g(1))
(g) f ( f (x)) (h) g(g(x))

Click here to see answer by stanbon(75887)

Question 103388: find a linear function whose graph has a slope=-3 and a y-intercept of (0,-5)
Click here to see answer by tutorcecilia(2152)

Question 103531: WRITE THE DOMAIN OF THE FUNCTION IN INTERVAL NOTATION.
n(x)= 1 NUMERATOR
2x^2+11x+12 DENOMINATOR
I know you have to make the denominator equal o. So this is what I have tried, but it doesn't work. I'm having a brain freeze.
(2x-12)(x+1)
Please help.
Click here to see answer by scott8148(6628)

Question 103625: Find the domain of the function: f(x)= square root of (2x-8)
...then write your solution in interval notation
Click here to see answer by jim_thompson5910(35256)

Question 103625: Find the domain of the function: f(x)= square root of (2x-8)
...then write your solution in interval notation
Click here to see answer by stanbon(75887)

Question 103627: Find the domain of the function f(x)= (x+2)/(x^2-9)
(write your solution in interval notation)
Click here to see answer by jim_thompson5910(35256)

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