Complex Fraction Substitution
Source:
June 13, 2009
Problem Statement
In the expression \frac{x \plus{} 1}{x \minus{} 1} each is replaced by \frac{x \plus{} 1}{x \minus{} 1}. The resulting expression, evaluated for x \equal{} \frac{1}{2}, equals:
(A)\ 3\qquad
(B)\ \minus{}3\qquad
(C)\ 1\qquad
(D)\ \minus{}1\qquad
(E)\ \text{none of these}