What is the rule of the following, state in words:      1. (f /g)x       2-3. To prove a function is a one to one       4-5. Finding the inverse of a function

Q: Construct a table of values for the function f(x)=x²-1 in the restricted domain {x|0≤x≤4}.Is f a one…

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Q: Show that the function is the inverse of the other: f(x) = 3x + 2 and g(x) = (x - 2) /3.

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Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: We graph the functions using a graphing calculator.

Q: If f and g are both even functions, is f + g necessarily even? If both are odd, is their sum…

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Q: Show that f (x) = x³ +1 is one-to-one and find its inverse function f-'(x).

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Q: 2. Explain how we know the function f(x)= 2.x is one-to one. Then find the inverse function f. x- 3

A: We are asked to  find the inverse of the function.

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: Sketch the graph of functions fx=ex-1   and  gx=lnx+1 on the same set of coordinate axes as shown…

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: Consider the given function: Here the objective is to check whether the given functions are inverse…

Q: our own words, define an inverse function. If I gave you the equation f (x) = x² - 8x + 6 what would…

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Q: Suppose a one-to-one function has domain [1,00) and range (-2,2). What is the domain of the inverse…

A: see below the explanation and answer

Q: The following function is one-to-one. Find a formula for the inverse of the function. f(x) = a + 4

A: We know that, f(f-1(x)) = x.

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: The inverse function can be found by changing the coordinates, i.e., x into y and y into x. The…

Q: Find a formula for the inverse of the function. f(x) = 8 – x², x > 0 f-1(x) = %3D

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Q: /Discuss the behavior of the following function as x 0: o,

A: Here, the given function is: f(x)=0,x≥0sin1x,x>0

Q: 1. Find the inverse of the function f(x) = 2x+1 3x-4

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: which following functions does f(2)=-1 and f(0)=-10?

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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: Here, we find f(x+h)  by replacing x by x+h  ,substitute the values of f(x+h) and f(x) and then by…

Q: The following function is one-to-one. find the inverse (f-1). f(x)=4+3x

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Q: Only a ____ ___ _____ function will have an inverse that is also a function.

A: Given- Only a ____ ___ _____ function will have an inverse that is also a function. To fill- The…

Q: Find the inverse of the following function: f(x) = (x – 5)², x > 5. f-' (x) =

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Q: Q5:- Find the inverse function f-1(x) if exists in the following cases:- a) f(x) =

A: f inverse (x) = 1+ [1/(x^2)]

Q: Find the inverse of the function on the given domain. f(x)= (x-9)^2, [9, infinity) f^-1(x)=

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Q: How would you limit the domain to make this function one to one? f(x) = (x– 4)2 %3D

A: We have to limit the domain to make the function f(x)=(x-4)2 one to one.

Q: Find the inverse of the function on the given domain. f(x)=(x−13)^2, [13,∞) I am just not sure how…

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Q: Suppose that f: X→Y and g: Y→Z are functions. Please teach me how to write the convers and inverse…

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Q: Find the inverse of the following one-to-one function then verify. f(x) = x-5

A: Use inverse function

Q: Find the inverse of the function below and verify the results per the methods discussed in class.…

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: The following is the graph of a function f(x). 2- -5 -4 -3 -2 -1 2 5 -2- -3- -4 5- Clear All Draw:…

A: Equation of line : y-y1 = m(x-x1) ; where , m=y2-y1x2-x1 (f-1)'(a) = 1f'(f-1(a))

Q: Is the following function one to one? f(x) = x³

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Q: Find the inverse of the following one-to-one function then verify. 2x f (x) = Зх-1

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Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is f’(x)?

A: Given problem:- f(x) = x2 + 7x + 13/x + 4 Find:-f’(x)?

Q: Explain why the domain of f(x) = x2 + k must be restricted to find an inverse function.

A: Given:

Q: g(n) = -n° + 3

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Q: Find the inverse of the following one-to-one function then verify. 1 f(x) = x+3

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Q: a) Explain in words how does the inverse of a function f'(x) relate to the original function f(x).…

A: Inverse of a function is the way of finding the original point of function. If at x=0, f(x)= 2, then…

Q: In your own words, describe what it means to say that the function g is the inverse function of the…

A: g is the inverse of f

Q: Consider the function f(x) = /sqrt{x-9}. For that function, can you find the expression for (f(x -…

A: Given that f(x)=x-9So, f(x-h)-f(x)h=x-h-9-x-9h

Q: If f(x) = 1– In (3x) does f(x) have an inverse? Give reasons. If there is, get the inverse function,…

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Q: Find the inverse of the following one-to-one function then verify. f (x) = 4x – 15

A: According to question, Given Function, f(x) = 4x -15

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x): =

A: The solution is given in the next step.

Q: 7. Find the inverse of the following function and then prove that it is truly the inverse. Then…

A: To find: The inverse of the function and then verify it also then graph both the functions. Given…

Q: If the function f is a one-to-one function and f -is its inverse function, then if x is in the…

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Q: Determine analytically if the following functions are even, odd or neither.         f(x) = 3x2 – 4…

A: . To do this, you take the function and plug –x in for x, and then simplify. If you end up with the…

Q: hat is the inverse function of f (x) = 3+ 5x

A: Given that f(x)=3+5x The objective is to find inverse. Take, y=3+5xy-3=5xy-35=x

Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: we have to Illustrate that the functions are inverse functions of each other by sketching their…

Q: I am studying for a precalc exam. Could you explain how to find the inverse of a function such as:…

A: Plug g(x)=y , then switch x and y.

Q: The one-to-one function f is defined below. f (x)= V10-x + 3 -1 Find f'(x), where f' is the inverse…

A: Use concept to find inverse function

Q: f(x) = x² is inverse function on integer number?

A: The inverse is f-1(x) = √x