Given r times x is equal to the fraction with numerator 11 and denominator open paren x minus 4 close paren squared , which represents a domain restriction on r times x and the corresponding inverse function?

The function r(x) = 11/(x − 4)² is not one-to-one across its full domain, so restrict it to one side of x = 4. For the restriction x > 4, solve y = 11/(x − 4)² for x: x − 4 = √(11/y), so r⁻¹(y) = 4 + √(11/y). This matches the choice with x > 4 and the positive square root.

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