Let . Show that is strictly monotonic on . Find the domain of the inverse of , denoted by . Find a formula for computing for each in the domain of .

First, to show is monotonic let with . Then

Hence, is strictly decreasing on .

Next,

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Stumbling Robot

A Fraction of a Dot
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Show a function is monotonic and find a formula for its inverse

Let . Show that is strictly monotonic on . Find the domain of the inverse of , denoted by . Find a formula for computing for each in the domain of .

First, to show is monotonic let with . Then

Hence, is strictly decreasing on .

Next,