Find its maximal domain of definition (definisjonsmengde) ?? and its range (verdimengde), in R.

mathematics

Description

(a) Find its maximal domain of definition (definisjonsmengde) ?? and its range (verdimengde), in R. 

(b) Draw the graph of ? . You can use Matlab’s functions fplot or plot. 


(c) Find the inverse ? −1 . Do we need to restrict the domain of ? to find an inverse? Determine the correct domain of definition ?? −1 of the inverse. Hint: remember that we must have


(d) Find the limit lim ?→ −1 ? (?) . Are the limits from the left and from the right both well-defined in this case? 

(e) Calculate the derivative ? ′ and find its domain of definition

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