How does the graph of g of x is equal to the fraction with numerator 1 and denominator x plus 4 minus 6 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 + 4) − 6, adding 4 inside the denominator shifts the graph 4 units left, and subtracting 6 outside shifts it 6 units down. So the graph is shifted 4 units left and 6 units down, choice B.

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