1. The problem asks for the equation of the vertical asymptote of a reciprocal-type curve. 2. A vertical asymptote occurs where the function approaches infinity or negative infinity, typically where the denominator of a rational function is zero. 3. Given the vertical asymptote is at $x=1$, this means the function is undefined at $x=1$. 4. Therefore, the equation of the vertical asymptote is simply: $$x=1$$ This means the curve approaches the line $x=1$ but never touches or crosses it.