How does the graph of g of x is equal to the fraction with numerator 1 and denominator x minus 5 plus 2 compare to the graph of the parent function f of x is equal to 1 over x ?

The parent function is f(x) = 1/x. In g(x) = 1/(x − 5) + 2, replacing x with x − 5 shifts the graph 5 units right, and adding 2 shifts it 2 units up. Therefore, choice B is correct.

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