Answer:
Option C: .
Step-by-step explanation:
Typically, solving an equation means finding an expression of that is written in . However, this question is asking for the inverse of an equation in an x-y plane. Thus, start by solving for an expression of that is written in . After that, interchange and to obtain the equation of the inverse.
.
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Subtract 1/2 from both sides of this equation:
.
Take the square root of both sides of this equation; note the plus-minus sign on the right-hand side of this equation:
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Subtract from both sides of this equation:
.
Interchange and to obtain the equation for the inverse:
.