Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each year. Which function can be used to determine the value of a refrigerator after x years if it is currently valued at $2,100? f (x) = 2, 100(0.65)* f (x) = 2, 100(1.35)* f (x) = 2, 100(0.35)* f (x) = 0.65(2100)*

Q: If I have f^-1=2x-4 how can I find f(x)?

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Q: Find the quotient x+h)-f(x) for f(x) = 7x – 3x²

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Q: Determine the end (long run) behavior for the function below:   f(x)=x^4−3x^3+x−1

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A: We have been given the equations f (x) = x3 − 12x2 + 36x − 16 and the equation of the derivative…

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

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Q: Find (f-g)(x) for f(x) = 4x- 9 and g(x) = 3?

A: Given, fx = 4x-9   gx = 3x2   We have to find f-gx

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

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A:

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A: First simplify the given function as follows.

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Q: When f-1(x)=(4x-3)/(x-2), what is f(f-1(x))?

A: Given inverse of the function is

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Q: Describe the long run behavior of f() = (x – 4)(x + 3)°(x – 1)²: As a - 00, f(x) → ? As x 0, f(x) →…

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Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

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Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

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A: Given function:

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A: To find g (x + 1).

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A: See solution below.

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: find the value of f(x) at x 10:

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Q: Graph the piecewise-defined function. 4. f(x)=2x- 1, if x>1

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Q: What is the end behavior of f(x)?

A:

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

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A:

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A: A function f(x) is continuous at a point x = a iff:

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A: Solution

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A:

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A:

Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.

Q: Which function is equivalent to f(x) = lnx?

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.