The graph of y = f(x) is shown below. Although f(x) is not one-to-one, we can restrict its domain to make it one-to-one so that it has an inverse. 543 2 1 0 -4 -3 -2 -1 0 1 2 3 4 5 6 -1. On which of the following domains, given in interval notation, would the restriction of f(x) be one-to-one?

Q: (a) Show that f(x) = x +1, x20, is one to one, and find its inverse together with its domain. (b)…

A: Consider the given function.

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A: Details solution is given below:

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A: In this question we have to determine on which point f has discontinous.

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A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

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A: Sol

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A: This question is related to algebric expression.

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A: An infinite discontinuity occurs when either one side or both side limit tends to infinity.

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A: Consider the equation

Q: Please show step-by-step solution

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A: The graphs of the functions f and g are given below:

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Q: x2 x3 x4 x5 x1

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Q: The following is a graph of a function g(x), defined on the interval [0,4] .

A: The graph of g(x) is as shown below :

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Q: Practice Question 2.3

A: The given function is,