Please show all work and explain: Consider a partial function. For every unmappe

Question

Please show all work and explain:

Consider a partial function.

For every unmapped element in its domain, map that element to "infinity". Does this modification make the partial function into a function? Why or why not?

Consider the mapping carried out by a compiler on files of code that are sent to it. Is the compilation process a function? A partial function? Does consideration of the error messages as part of the co-domain make compilation a function? For correct programs, is compilation injective?

Explanation / Answer

(x^2+3x+5)/(x(x+1))

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