а) The function f is defined by f: x →, x ERand x # -1. x+1 i) Sketch the graph of f and state the corresponding domain and range. ii) Find the inverse function, f-1 iii) Find the solution set for which f (x) = f-1(x) iv) Find the composite function f • f-1(x)

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A: The solution is given as

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Q: 2. Determine if a function f : [0 ; 2pie] → R defined by f(x) = sin 2pie is continuous

A: Determine if a function f : [0 ; 2pie] → R defined by f(x) = sin 2pie is continuous.

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A: The answer is option D

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A: Given, To discuss continuity of the function g(x)

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A: We can solve this as follows:

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A: How to solve: make a graph of sin(x) and then transform it one by one:

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A: Given that: f(x)=x2+2x-3x-1

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A:

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A: Note:- According to the company policy we can attempt ?️ only one question so please upload the next…

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A:

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A: fx is differentiable and invertible function so that f(3)=4 and f'(3)=12

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A: Since you posted two questions here, i can answer only 1. Please reupload second question again.…

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A: We need to draw the graph of