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Let fff be a one-to-one (Injective) function with domain Df={x,y,z}D_{f} = \{x,y,z\} Df={x,y,z} and range {1,2,3}.\{1,2,3\}.{1,2,3}. It is given that only one of the following 333 statement is true and the remaining statements are false:
f(x)=1f(y)≠1f(z)≠2. \begin{aligned} f(x) &=& 1 \\ f(y) & \neq & 1 \\ f(z)& \neq & 2. \\ \end{aligned} f(x)f(y)f(z)===112.
Find f−1(1). f^{-1} (1). f−1(1).
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