Let \(f\) be a one-to-one (Injective) function with domain \(D_{f} = \{x,y,z\} \) and range \(\{1,2,3\}.\) It is given that only one of the following \(3\) statement is true and the remaining statements are false:

\[ \begin{eqnarray} f(x) &=& 1 \\ f(y) & \neq & 1 \\ f(z)& \neq & 2. \\ \end{eqnarray} \]

Find \( f^{-1} (1). \)

×

Problem Loading...

Note Loading...

Set Loading...