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

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Question 943412: Find the domain and the range of the function. (Enter your answers using interval notation.)
h(x) = − [(square root)x + 1]

Click here to see answer by stanbon(75887)

Question 943443: Show that the linear function f defined by
f (x) = mx + b is an even function if and only if
m = 0.
Click here to see answer by jim_thompson5910(35256)

Question 943439: How do i write: m is the function that squares the input, then adds half of the input
Click here to see answer by nerdybill(7384)

Question 943619: If f(x) = 3x - 9 and g(x) = x2, what is (g � f)(5)?

Click here to see answer by stanbon(75887)

Question 943619: If f(x) = 3x - 9 and g(x) = x2, what is (g � f)(5)?

Click here to see answer by MathTherapy(10552)

Question 944009: The function of g, g(x), is one more than eight times x.What is a correct representation of this relationship?
Click here to see answer by greg98(5)

Question 944150: This is a PARCC Algebra 1 Question which I do not agree with the answer.

At the beginning of an experiment, the number of bacteria in a colony was counted at time t = 0. The number of bacteria in the colony t minutes after the initial count is modeled by the function b(t) = 4(2)^t. Which value and unit represent the average rate of change in the number of bacteria for the first 5 minutes of the experiment? Select all that apply.

A.) 24.0
B.) 24.8
C.) 25.4
D.) 25.6
E.) bacteria
F.) minutes
G.) bacteria per minute
H.) minutes per bacteria

The PARCC answer key says
B.) 24.8
G.) bacteria per minute
Click here to see answer by josgarithmetic(39618)

Question 944435: Using the graph: (-4,4) , (-2,0) , (0,-4) , (1,-3) , (2,0) , (3,3) , (4,1)
A. Find the domain and range
B. List the intercepts
C. Find f(1)
D. For what value of x does f(x)=3
E. Solve f(x) > 1
Really need help with this one.
Click here to see answer by nerdybill(7384)

Question 944431: For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.
Click here to see answer by nerdybill(7384)

Question 944433: Two cars leave a right angle intersection at the same time. One is heading south at a constant speed of 80 miles per hour, and the other is headed west at a constant speed of 60 miles per hour. Express the distance d between the cars as a function of time, t. Find the domain of d.
Click here to see answer by ankor@dixie-net.com(22740)

Question 944629: What is the domain of a function? (I have found many examples, but I'm unable to put the examples in to words.)
Click here to see answer by richard1234(7193)

Question 944707: Why it is important to know what the domain of a function is?

Click here to see answer by josgarithmetic(39618)

Question 944886: h is the function that takes the reciprocal of the input and then takes the absolute value of the result
Click here to see answer by Fombitz(32388)

Question 944973: Find all real values of x such that
f(x) = 0.
(Enter your answers as a comma-separated list.)

f(x) = 6 − 2x

Click here to see answer by richard1234(7193)

Question 945090: A function f on the set of integer numbers is defined as f(x)=3x-1.
Find the range of f.
Find the domain of f.
What is the type of the function?
Click here to see answer by richard1234(7193)

Question 945251: What is the domain of x/(4x+9) ? I'm pretty sure it should be (-infinity, -9/4)U(-9/4, infinity) but my math system is telling me I'm wrong.
Click here to see answer by Alan3354(69443)

Question 945347: A line L has the equation 22x + 4y = 20.
Find an equation for the line that passes through the point (-10, -15) and is parallel to L.

The slope of the line through (-10, -15) perpendicular to L is
m =
Click here to see answer by josgarithmetic(39618)

Question 945346: (1.) A line passes through the points (20, 42) and (21, 6).
The slope of the line is m = .

An equation for the line is?
(2.) A line has the x-intercept 2 and y-intercept 17.
The slope of the line is m = .

An equation for the line is
Thanks!
Click here to see answer by lwsshak3(11628)

Question 945421: 1. what is the domain of f (x) = x^2-14x+48/x-8
2. What is the domain of F(x)= Square root 5-10x
3. What is the domain of f(x)= x-9/x^2+6x+9
Click here to see answer by stanbon(75887)

Question 944577: Please differentiate the following.
d/dx[y/(x^2 + y^2)] + d/dy[ (-x/(x^2 + y^2)]
Click here to see answer by Fombitz(32388)

Question 945449: A 2003 Subaru Outback wagon costs $23,500 and gets 24 miles per gallon. Assume that gasoline costs $3 per gallon.
(a) What is the cost of gasoline per mile for the Outback wagon? (Round to the nearest cent.)
$
Correct: Your answer is correct. .

(b) Assume that the total cost of owning the car consists of the price of the car and the cost of gasoline. (In reality, the total cost is much more than this.) For the Subaru Outback, find a linear function describing the total cost, with the input variable being the number of miles driven (m).
C(m) =
Incorrect: Your answer is incorrect. .

This is the problem I am trying to solve. the first answer was correct at .13 but for the second answer I wrote c(m)=23500+.13m and it says its not correct. I am using web assign. I don't know how else to input it as the numbers seem correct so I think its my formatting.
Click here to see answer by macston(5194)

Question 944534: among all pairs of numbers (x,y) such that 4x+y=11 find the pair for which the sum of squares x^2+y^2 is minimum. Write your answer as fractions reduced to the lowest terms
Click here to see answer by Fombitz(32388)

Question 945493: 0Find the domain of the function. (Enter your answer using interval notation.)
f(x) = x^2 + 2
Click here to see answer by Fombitz(32388)

Question 945499: which of the following functions is a horizontal reflection of the function f(x)=x^2

Click here to see answer by Fombitz(32388)

Question 945517: Find the domain of the function. (Enter your answer using interval notation.)
f(x) = (x + 3)^2/(radical 7x − 1)

Click here to see answer by MathLover1(20850)

Question 945593: Q: Domain of sinh-1 3x is
a.[1/3,-1/3]
b.[1,-1]
c.[pie/2,-pie/2]
d.both a and b
Click here to see answer by BryceWalker(4)

Question 945593: Q: Domain of sinh-1 3x is
a.[1/3,-1/3]
b.[1,-1]
c.[pie/2,-pie/2]
d.both a and b
Click here to see answer by Alan3354(69443)

Question 945918: G={(-1,6),(-9,-8),(-1,-6)} give the domain and range of g
Click here to see answer by MathLover1(20850)

Question 945922: The function p has the following property:
p(x) = p(−x) for all x in its domain.

p is an even function.
p is an odd function.
p is neither an odd nor even function.

please explain, i dont understand
Click here to see answer by josgarithmetic(39618)

Question 945931: Can you please explain why the domain of f(x)=(x-2)^2 is all real numbers? my calculations were
f(x)=(x-2)^2
(x-2)(x-2)
x=2 therefore the domin cannot be postive 2 so (-∞,2)U(2,∞) wouldn't this exclude the 2's and therefore it wouldn't be all real numbers?
Thanks
Click here to see answer by Alan3354(69443)

Question 946300: A function is given. Determine the average rate of change of the function between the given values of the variable.
f(x) = 5 − x^2; x = 3, x = 3 + h
Please help
Thanks
Click here to see answer by stanbon(75887)

Question 946307: Solve the inequality
−5 < 5 − 5 x ≤ 5
how would I find the domain of this?
Thanks
Click here to see answer by stanbon(75887)

Question 946308: Hello and thanks for taking the time to help me. The problem has a function of f(x)=0 and the problem is x+1/x-2.
Click here to see answer by Alan3354(69443)

Question 946312: Do these answers look correct? rate of change type problem
http://i.imgur.com/LLJ71G0.png
Thanks
Click here to see answer by josgarithmetic(39618)

Question 946352: F(x)=3x+4 is the function the problem is 2f(5) for the answer I got 38. Is this right? If not please show the right answer with the steps. Thanks!
Click here to see answer by amarjeeth123(569)

Question 946398: A function is given. Determine the average rate of change of the function between the given values of the variable.
f(t) = 7/t
; t = a, t = a + h
Please explain
Thanks
Click here to see answer by richard1234(7193)

Question 946389: Average rate of change population and years problem
I dont understand how to solve this
http://i.imgur.com/FMhSTU2.png
please help
Click here to see answer by Fombitz(32388)

Question 946594: A garden will be on a rectangle lot 5x by 10x. The garden will be circular with a radius of 3x. How much land will be left over after the garden is built?
Click here to see answer by Fombitz(32388)

Question 946639: Write the rule of this function. x is -1 and y is -3
Click here to see answer by richard1234(7193)

Question 946639: Write the rule of this function. x is -1 and y is -3
Click here to see answer by Techpriest(29)

Question 946612: A carpenter is putting a skylight on a roof. If the roof measures 10x +89 by 7x+7 and the skylight measures x+5 by 3x+3, what is the area of the remaining roof after the skylight is built?
Click here to see answer by josmiceli(19441)

Question 946807: 2x + y 3
x 1
What does the graph look like ?
Click here to see answer by Fombitz(32388)

Question 947024: What transformation would these graphs go through? meaning reflections, shifts and stretches.
y=-2f(x)
y=2f(-x)
y=-12f(x)
y=(-1/12)f(x)
y=49f(x+12)

Please help
Thank you
Click here to see answer by stanbon(75887)

Question 947244: I am doing this marketing project and I am stuck on this question, the question is....Cost Function. Find C(x), the weekly cost for producing x loaves of bread. Be sure to include both the cost of the oven and the ingredients. What is the domain of the cost function? The $1.182 is the cost of the ingredients for a single loaf of bread and the monthly payments for the oven is 189.43. This is the answer that I figured out is C=189.43 + 1.19x and I really dont think that is right... Thanks for any and all help :-)
Click here to see answer by josmiceli(19441)

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