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1. What is \(2^{-1} + 2^{-2} + 2^{-3} + 2^{-4} + 2^{-5} + 2^{-6} \pmod{13}\)?

This -1 represents inverse in modular arithmetic. However, what does anything greater than that mean? ex -2, -3. I don't understand this so someone please help! 

2. If \(f(x)=\dfrac{x-3}{x-4}\), then for what value of x is \( f^{-1}(x)\) undefined?

Inverse functions, I don't know what to do to make the inverse of \(f(x)\) undefined.

 
 May 27, 2020

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