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

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Question 953832: Write a function rule that models a real world situation. Evaluate your function for an input value and explain what the output represents.
Click here to see answer by stanbon(75887)

Question 953825: What is x if f(x)=18?
Click here to see answer by josgarithmetic(39618)

Question 953919: Help me find the inverse function of f informally f(x)=1/3x
Click here to see answer by addingup(3677)

Question 953824: If a sequence is defined recursively by g(3)= -2 and g(t+1)= -2g(t)-4 for t is less than or equal to 0, then g(0) is equal to what value?
Click here to see answer by Fombitz(32388)

Question 954177: f(x) = -x-1; h(x)=-x+3, find (f*h)(-7). I subscribe to Mathway, it gave 60 as the answer. The textbook says -11 is the answer. How could that be? Can someone suggest a better Algebra problem solver AND explainer service than Mathway?
Click here to see answer by Fombitz(32388)

Question 954249: I need help with simplifying functions, please.
1). f(x)-=4x^2-x
2). g(x)=4x-1
Find:f(-2) and g(-3).
Click here to see answer by Alan3354(69443)

Question 954425: if f(x)=3x^2 and g(x)= 4x^3+1, what degree of (f o g)(x)?
Click here to see answer by Alan3354(69443)

Question 954473: Someone please help me with this. Find the average rate of f(x)= 1/2x-3 between x=a and a+h
Click here to see answer by stanbon(75887)

Question 954625: Find the function problem?
The graph of an exponential function f. The graph has a y-intercept of (0, 3), asymptote y = 0 and passes through the point (2, 12). Find the function

Please explain I need to understand
Thanks!
Click here to see answer by josgarithmetic(39618)

Question 954633: Find the function of the form
f (x) = C a^x whose graph is given below where A is the point (-4, 16/3) and B is the point (0, 1/3)

I know this is simple but it is not clicking for me....
Click here to see answer by josgarithmetic(39618)

Question 954685: Show that f(x)=∛(x+2) and g(x)=x^3-2 are inverses.
Click here to see answer by josgarithmetic(39618)

Question 954459: Is the inverse of y=1 a function? Give a reason

Click here to see answer by Fombitz(32388)

Question 954886: if h(x)= (f o g) (x) and h(x)= 3(x+ 2)^2, find f(x) and g(x)

Click here to see answer by MathLover1(20850)

Question 954890: what is the domain of y=(x-5)^2
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Question 954916: For f(x)= 4x + 1 and g(x)= x^2 - 5, find (f-g)(x).
a. -x^2 + 4x - 4
b. -x^2 + 4x + 6
c. x^2 - 4x - 6
d. 4x^2 - 19
Click here to see answer by Fombitz(32388)

Question 955112: F(x)=x^2-10x-12
Click here to see answer by jim_thompson5910(35256)

Question 955242: Assume f(x)= -2x + 8 and g(x)= 5x. What is the value of (f-g)(2)?
Please help, Thank you!
Click here to see answer by stanbon(75887)

Question 955249: If you save one penny on January 1, two pennies on January 2, three pennies on January 3, and continue this pattern for one year(not a leap year), what will be the value of your entire savings, in dollars, at the end of that one year? Express your answer as a decimal.
Please help me, thank you.
Click here to see answer by macston(5194)

Question 955403: What is the domain of g(x)?
Click here to see answer by Fombitz(32388)

Question 955562: Let h(x)= (g o f)(x)= x^2 / x^2 + 1
Which of the following could be a possible decomposition of h(x)?
a. f(x)= x; g(x)= x / x + 1
b. f(x)= x + 1; g(x)= 1 / x^2
c. f(x)= x^2; g(x)= x / x + 1
d. f(x)= x + 1; g(x)= x^2
Click here to see answer by stanbon(75887)

Question 955580: If r^2s^-3t^1/2=0 which of the following CANNOT be true?
I. r = 0
II. s = 0
III. t = 0
Options:
I only
II only
III only
I and III only
II and III only

Click here to see answer by stanbon(75887)

Question 955671: Create a function that represents each. Identify the meaning of the variable.
"Two more than the product of p and 5 is q"
Click here to see answer by stanbon(75887)

Question 955673: Without graphing, how can you identify a linear function?
Click here to see answer by josgarithmetic(39618)

Question 955672: f(x)= x/x-6 is a rational function. Why?
Click here to see answer by stanbon(75887)

Question 955672: f(x)= x/x-6 is a rational function. Why?
Click here to see answer by josgarithmetic(39618)

Question 955668: h(a-2)/g(a+4) substitute for these >>>>>> h(x)=x/2x-1 and g(x)=4-x

Click here to see answer by stanbon(75887)

Question 955820: Hey there I have a few questions to see how to work this problem out-
1)Find f(t-6) for f(x)=-2x^2+9x+1

Click here to see answer by Alan3354(69443)

Question 955821: g(x)=sq root of 3x-27

Click here to see answer by Alan3354(69443)

Question 956015: Evaluate the function rule for the given value. y = 4 � 2x for x = �6
Click here to see answer by MathLover1(20850)

Question 956039: Rewrite the equation so that y is a function of x.
2x + 18y=36
Click here to see answer by Fombitz(32388)

Question 956055: what is the solution of f(-3)=2x^2

Click here to see answer by Alan3354(69443)

Question 956068: Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the x-axis at each zero.
f(x)=5(x�+5)(x-2)�
Click here to see answer by Fombitz(32388)

Question 956065: First re-write the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts:
f(x)=-x�+5x-6
Click here to see answer by Fombitz(32388)

Question 956366: Find the domain algebraically for
F(x)=2-1/x

Click here to see answer by Fombitz(32388)

Question 956423: I am doing this project in math about car depreciation. Our teacher wants us to find the exponential function best fit for each car in the form y=Ce^rx. The three cars I picked was a ford escape, chevy impala, and toyota camry.
For the ford the exponential fit is y=2164e^-0.183x
The Chevy exponential fit is y=23347e^-0.188x
The Toyota exponential fit is y=20536e^-0.102x
I guess my question is how do I find the depreciation for each car?
And my other question my teacher wants to know what does C represent, and what does r represent? The teacher said that in the equation y=Ce^rx, y represents suggested retail and x is the age of car in years
For C I said it represents suggested retail as well, and r represents annual depreciation. Thanks for any and all help
Click here to see answer by stanbon(75887)

Question 956468: Please help. "Use the form y=mx +b for linear equations.
Write the equation for the following relation.
C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}"

Click here to see answer by MathLover1(20850)

Question 956844: With all steps showing how the domain is reached in set form
n^2+13n+40 numerator
8n denominator
This is in fraction form with 8n being the denominator
Click here to see answer by Fombitz(32388)

Question 957007: 1.Use the table bellow to answer this question: x -1 1 4 then y 5 3 0 find the average rate of change for the given function from x=-1 to x=4
2.what is the equation in point-slope form of the line passing through (-3,-4) and (0,2)

Click here to see answer by Fombitz(32388)

Question 957081: f(x)=-3x^2-9x+4: Rewrite the quadratic, f(x), into vertex form and identify the vertex point and identify if it has a minimum or maximum point.
Click here to see answer by lwsshak3(11628)

Question 957225: Express the function f in the form f (x)=ax+b. The graph of the linear function k has slope -4/5 and y intercept is -2.
Click here to see answer by Fombitz(32388)

Question 957082: Given f(x)=x+1 and g(x)=2x^2 evaluate:
What is x if f(g(x))=17
Click here to see answer by Fombitz(32388)

Question 957085: If a sequence is defined recursively by g(0)=2 and g(t+1)=3 g(t)-5 for t is greater than or equal to 0, then g(3) is equal to what value?
Click here to see answer by Fombitz(32388)

Question 957224: Express the function f in the form f (x)=ax+b. The linear function f has rate of change 3 and initial value - 1.
Click here to see answer by MathLover1(20850)

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