The function y is equal to square root of x is translated using the rule x comma y to x minus 7 comma y plus 2 to create f of x What is the domain of f of x ?

The original function y = √x is defined when x ≥ 0. The translation changes each point’s x-coordinate from x to x − 7, shifting the graph 7 units left, so the new input must satisfy x + 7 ≥ 0. Thus the domain is x ≥ −7, which is choice D.

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