(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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