Define a function ?∶ ℝ→ℝ by ?(?)={?+1,[?] ?? ??? ?−1,[?]?? ???? where [x] is the integer...

Define a function ?∶ ℝ→ℝ by

?(?)={?+1,[?] ?? ??? ?−1,[?]?? ????

where [x] is the integer part function. Is ? injective?

(b) Verify if the following function is bijective. If it is bijective, determine its inverse.

?∶ ℝ\{5/4}→ℝ\{9/4} , ?(?)=(9∙?)/(4∙?−5)

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Expert Solution

Colby Messinger answered 1 year ago

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