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

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Question 1053345: what is the domain of f(x)=4\x-3?
Click here to see answer by ewatrrr(24785)

Question 1053395: Can I please get some help finding the specified functions and their domains?
Using the functions f(x) = x� and g(x) = √2-x, find the specified functions for
A) (f - g)(x)
B) (f/g)(x)
C) (f o g)(x)
D) (g o f)(x)
Thank you.
Click here to see answer by estron7(44)

Question 1053438: Find the domain of the function g(t) = √t −1/ 5−t

Click here to see answer by Boreal(15235)

Question 1053529: Hi please help me identify if this is a function or not
http://imgur.com/XfsmfRC
Thank you.
Click here to see answer by josgarithmetic(39618)

Question 1053525: x 3 -2 5 1
y -4 0 3 0
a. Write the range
Click here to see answer by Fombitz(32388)

Question 1053441: Test for symmetry with respect to x axis, y axis and origin. 9x2 + y2 = 36
Click here to see answer by Fombitz(32388)

Question 1053698: Please, please help me determine the domain and the range.
http://imgur.com/65BQvAb?r
Click here to see answer by sarvesh upadhyay(2)

Question 1053723: Find f(a), f(a + h),and the difference quotient f(a + h) − f(a)/ h where h ≠ 0.
f(x) = 2x + 8
f(a) =
f(a + h) =
f(a + h) − f(a)/h =

Click here to see answer by Fombitz(32388)

Question 1053552: what is the inverse of the one to one function f(x)=square root(x+3) when x=>-3
Click here to see answer by Fombitz(32388)

Question 1053749: This function, -2x + x^1/2
is
A.) A polynomial because as it's continuous.
B.) A polynomial because it is of the form axn.
C.) No polynomial as 2x is being subtracted
D.) No polynomial as there are no fractional exponents.
Click here to see answer by KMST(5328)

Question 1053781: Consider the function: f(x)=(x-2)^2-4
Find the coordinates of the vertex, (x,y)
Make sure to show all work
Click here to see answer by josmiceli(19441)

Question 1054005: Determine algebraically whether the function is odd, even, or neither:
f(x)=x^3-2x
Click here to see answer by ikleyn(52794)

Question 1054032: Can you please help me with this problem?
Let the function h be defined by h(x) =14+ x^2 /4
If h(2m) = 9m , what is one possible value of m?
My attempt so far:
14+ 2m^2 /4 =9m
14+ m^2 /2 =9m
14/9+m^2 /2 /9 =9m/9
14/9 + m^2/18 = m
Click here to see answer by ikleyn(52794)

Question 1054031: If h(x)=2f(x+1)-g(x-1) what is,the value of h(3)?
This is my work so far:
2f(3+1)-g(3-1)
2f(4)-g(2)
8f-2g
Click here to see answer by Edwin McCravy(20056)

Question 1054095: Need the fraction layout for -4 -3/4
Click here to see answer by Alan3354(69443)

Question 1054200: x2-5x+6�x2+x-12
x2-7x+10�x2-x-20
Click here to see answer by Alan3354(69443)

Question 1054405: give the domain of h(x)=2/(x^2-x)
Click here to see answer by Boreal(15235)

Question 1054323: Queuing Theory
Suppose customers arrive at a fast-food service window at a rate of 9 people per hour. With reasonable assumptions, the average time(in hours) that a customer will wait in line before being served is modeled by f(x)=9/x(x-9) where x is the average # of people being served per hour.
A)Why is the function meaningless if the average # of people served per hour is less then 9?
Suppose the average time to serve a customer is 5 minutes.
B)How many customers can be served in an hour?
C)How many minutes will a customer have to wait in line (on the average)?
D)Suppose we want to halve the average waiting time to 7.5 minutes (1/8 hour). How fast must an employee work to serve a customer (on the average)?(convert to minutes)How might this reduction in serving time be accomplished?
Click here to see answer by rothauserc(4718)

Question 1054442: Ok so I have the first couple parts of it already figured out but I am stuck on this one section.. its a long question but I only need help on the one part of it, so here it goes...
You planned a trip with your best friend from college. You had only 4 days for your trip and planned to travel x hours each day.
The first day, you stopped for sightseeing and lost 3 hours of travel time. The second day, you gained 1 hour because you did not stop for lunch. On the third day, you traveled well into the night and doubled your planned travel time. On the fourth day, you traveled only a fourth of the time you planned because your friend was sick. You averaged 50 miles per hour for the first 2 days and 56 miles per hour for the last 2 days. Complete parts a through f.
a. How many hours, in terms of x, did you travel the first 2 days?
2x-2 hr
b. How many hours, in terms of x, did you travel the last 2 days?
2.25x
c. Express the total distance, D, traveled over the 4 days as a symbolic rule in terms of x.
D=226x-100
d. Write a symbolic rule that expresses the total distance, y, you would have traveled had you traveled exactly x hours each day at the average speeds indicated above.
y=___ mi

D is what I need help with! Thanks so much!
Click here to see answer by stanbon(75887)

Question 1054430: The height s of an object projected directly upward from an initial height 𝑠0 feet with initial velocity 𝑣0 feet per second is 𝑠(𝑡) = −16𝑡2 +𝑣0𝑡 +𝑠0, where t is the number of seconds after the object is projected. Use this information for the following.

A potato is shot directly upward from an initial height of 6 feet with an initial velocity of 100 feet per second.

a. Give the function that describes the height of the potato in terms of time t.

b. At what time will the potato reach its maximum height?

c. When will the potato hit the ground?
Click here to see answer by ikleyn(52794)

Question 1054663: Liam drove from town A to town B , a distance of x km. He then drove from town B to town C , a distance of (2x+1) km. The total distance was 56 km Find the value of x, correct to the nearest kilometre
Click here to see answer by josgarithmetic(39618)

Question 1054858: Hi, please help me with this one. Thank you.
Given and
a. Find and write the domain of in interval notation
Click here to see answer by josgarithmetic(39618)

Question 1054893: Given

Use the functions to find:

a.
b.
c.
Click here to see answer by Edwin McCravy(20056)

Question 1054892: Given

Use the functions to find:
a.
b.
c.
Click here to see answer by Edwin McCravy(20056)

Question 1055252: What is the domain of 9 / 9-2m
Click here to see answer by Fombitz(32388)

Question 1055332: The spread of a contaminant on the surface of a lake is increasing in a circular pattern. The radius of the contaminant can be modeled by f(t)=6 square root t ( just 6 squart of t no parenthesis) where f(t) is in meters and t is hours since contamination. Reminder: The area of a circle is pie r^2. (piesign r to the power of 2)
A. Find a function (A of F)(t) that gives the area of the circular leak in terms of the time t since the spread began. Simplify this function as much as possible.
B.) Find the size of the contaminated area after 20 hours. Include units and round to the nearest whole number.
c.) When will the size of the contaminated area be 850 square meters? Include units and round to one decimal place.
I'm in desperate need of help with this problem. I am really lost.
Click here to see answer by Boreal(15235)

Question 1055785: Given that -1 is a zero of the polynomial P（x）=x^3 +10x^2 + 29x + 20,
(A) determine all other zeros and
(B) write the polynomial in the terms of a product of linear factors.
Click here to see answer by Fombitz(32388)

Question 1055840: 3x-4y=1 I have to find the slope of the line and show it in simplest form.

Click here to see answer by Fombitz(32388)

Question 1055840: 3x-4y=1 I have to find the slope of the line and show it in simplest form.

Click here to see answer by MathTherapy(10552)

Question 1056032: write the equationi slope intercept form for the line that passes through thegiven point and its parellel to the graph of the given equation
(-1,-2),y=3x+5
Click here to see answer by stanbon(75887)

Question 1056061: {(0,1),(1,0),(2,1),(3,1),(4,2)}
Click here to see answer by Alan3354(69443)

Question 1056094: Determine if the following relation is a function.
6x+3y=18
Click here to see answer by addingup(3677)

Question 1055820: Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution.
G(x) = 3x 2 - 2x - 1
G(a + b) =
Click here to see answer by Fombitz(32388)

Question 1056265: Given f(x)=-2x2^-5x+5, find f(x+h)-f(x)/h, h not equal to 0
Click here to see answer by htmentor(1343)

Question 1056456: Given the following linear function sketch the graph of the function and find the domain and range. I'm really struggling with functions. Please help.
�() = -3x + 7
Click here to see answer by Boreal(15235)

Question 1056495: Determine whether the equation represents y as a function x
A. x�+y�=4
B. x�+y�-2x-4y+1=0
Click here to see answer by josgarithmetic(39618)

Question 1056495: Determine whether the equation represents y as a function x
A. x�+y�=4
B. x�+y�-2x-4y+1=0
Click here to see answer by ikleyn(52794)

Question 1056495: Determine whether the equation represents y as a function x
A. x�+y�=4
B. x�+y�-2x-4y+1=0
Click here to see answer by MathTherapy(10552)

Question 1056665: Given:
f(x) = 10 x - 3
g(x) = 1x + 6

What number(s) are NOT in the domain of f( g(x) )?
Click here to see answer by josgarithmetic(39618)

Question 1056762: A rectangle has a perimeter of 110. The length is five more than twice the width. What is the length and width of the rectangle.
Click here to see answer by stanbon(75887)

Question 1056795: Given f(x)= x - 6 / x-1, g(x)=x-1; find the following and their domains
A) (f+g)(x)
B) (f�g)(x)
Click here to see answer by josgarithmetic(39618)

Question 1056779: When Jack went to the movie he paid $8 for his popcorn and $4 for each additional order of popcorn. If y represents the total cost and x represents the number of popcorn orders, what is the function rule that describes this pattern?
Click here to see answer by josgarithmetic(39618)

Question 1056835: y=-2x2+1
Click here to see answer by ikleyn(52794)

Question 1056897: Given f(x)=x/x-1. g(x)=2x-4/x
a) (f�g)(0)
b) (g�f)(-2)
c) (g�g)(-3)
Click here to see answer by Alan3354(69443)

Question 1057056: The function f(x)=-7x+33 is one-to-one.
true or false
Click here to see answer by Alan3354(69443)

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