Question: 2. i. Show that if f : R + IR is a strictly increasing function and u : IRL R is a utility function

2. i. Show that if f : R + IR is a strictly increasing function and u : IRL R is a utility function that represents the preference relation * , then the function v : RL + R defined by v(x) = (that is v is also a utility function representing the preference relation ii. Show that if f : IRL IRL is a strictly monotonic function and u : IRL R is a utility function that represents the preference relation * , then the function v : IRL R defined by (that u o f) does not always represents the preference . [Hint: is v in order to show that something is not satisfied, you only need to provide an example]

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