6) You asked a friend to think of nonnegative number, add two to the number, square the number, multiply the result by 3 and divide the result by 2. If the result is 54, what is the original number? Construct and inverse function that will provide the original number if the result is given. T )

Q: 2. Find the divided differences of f(x) = x³ + x + 2 for the argument 1, 3, 6, 11.

A: To Find: The divided differences of f(x)=x3+x+2 for the argument 1, 3, 6, 11

Q: Original Function 5 25. у %3| 2.x2

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Q: 15 10 5- -2

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Q: A group studies tides and records the function 1.5sin(π/3(x−8))+4.25, with time in x hours. How many…

A: Given: The given function is 1.5 sinπ3x-8+4.25

Q: Give four ways that functions may be defined and represented.

A: A function can be represented verbally. For example, the circumference of a square is four times one…

Q: fex)--4x2 yニ- こx) Xh--(xけ メ

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Q: 14) write the equation of the translated function 2

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Q: Por ve exfloo) =1 if: er f= 3 =²² st Set

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Q: (1 point) If f(x) = 16, then f' (6) = . help (formulas)

A: Solve for f'(6)

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Q: What is the domain of the function f(x)=square root x-2/x+4? Write the domain using interval and set…

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Q: What is the output of this function when the input is 5? 8- -2 -10 -4 -2 4 6. 8. 10 -2 -4 8.

A: We are given with a graph on the system for which we have to find the value of the output or the…

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: What is meant by Greatest integer function in reference to algebra?

A: Greatest integer function means the greatest integer contained by a number. So, if a number x such…

Q: 44. Find f(x) if f(x) = 1/(2 - x).

A:

Q: * The product of two odd functions are even True False

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Q: Q3/State whether this function is continous or not for all values o reason without proof. sino,

A:

Q: When is a parenthesis used when writing interval notation?

A: An interval notation is solution sets are indicated with parentheses or brackets. The numbers are…

Q: Suppose that the weekly sales volume (in thousands of units) for a product is given by y =…

A: Given weekly sale volume expression for a product is

Q: In and f'() =8. What is

A:

Q: I need help on F stat

A: The data shows the weekly usage in hours and annual maintenance expense in hundreds of dollars.

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A: The composition of inverse function that is f-inverse composed of f, or f composed of f-inverse is…

Q: Assume that f is a one-to-one function.

A: a. f(2)=7 b. f-1(3)=-1

Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: Just in case you didn't think about the really big numbers in your model, how much of the prize…

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Q: if f(13)=-6 then f^-1(-6)=?

A: Consider the given function.

Q: What value of x verifies that

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Q: Simplify the difference quotients f(x+h)−f(x)/h and f(x)−f(a)/x−a for the following function by…

A: Difference Quotients : f(x+h)-f(x)h or f(x)-f(a)x-a

Q: 2. In MT 207 class, there are 43 computer engineering students and 34 ci engineering students. Dr.…

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Q: Write a function that passes through th 3 o) (20) intoro intoroento and

A: Here we have to write the function that passes through the x-intercepts

Q: If f(-3)=-5 then f(-5)= ?

A: Given that f(-3) = -5  then f-1 (-5) = ?

Q: einx

A:

Q: 6. Let A denote the set of all real numbers. Let B denote the same set as A. Let f be the function…

A: Given: Let A denote set of all real numbers. Let B denotes set of all real numbers. Let f be the…

Q: 2 Evaluate , w - 5 +f when w = - 3 and f = 8. 3

A: topic - functions

Q: Explain why it is that when you compose a function and its inverse, the result is the same as the…

A:

Q: the

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Q: In Exercises 63–64, list all numbers that must be excluded from the domain of the given function. 3…

A: We know that, The domain of a rational function consists of all the real numbers x except those for…

Q: Which function has a domain of all real numbers and an x-intercept of -3? 7 8-7-6-5 -4 -3 -2 -1 -2…

A: Explained below

Q: The function fin) = 8n-2 is big-O(n). True False

A: Consider the given function.

Q: If f(5)=4 , find f^-1(4)

A: Given: f5=4, To find: f-14,

Q: What is a function f(n) where f(n) ∈ o(n^2) but where f(n) ̸∈ O(n^2-ε)? Please explain with an…

A: Given, f(n)∈o(n2) The function fn is, fn≤crn3 Since, c1>0 and ∀n≥n0 And fn≥n2-ε for c2>0 and…

Q: Assume that the function f is a one-to-one function. (a) If f(6) = 2, find f(2). Your answer is (b)…

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Q: Make a function to calculate the multiplications of nth power of the numbers starting from any…

A: The given details: Starting from any number '"a". Ending to any number "b". To make a function to…

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Q: 14) write the equation of the translated function 2 2.

A: Explanation of the answer is as follows

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Given that : sin-1 sin 5π4 = 5π4  Determine whether the statement makes sense or does not make…

Q: Explain, why the funtion is continuous at every number in its domain, State the domain. B(u) =…

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Q: Assume that f is a one-to-one function.

A: Solution:Givenf(5)=18 To find f-1(18 )and f-1(4)=2to find f(2)If f is 1-1if f(x1)=f(x2)…

Q: 2. Does a rule from one set to another set need to be explicit in order for the rule to qualify as a…

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