iran-konkur 2019 Q107

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Composite & Inverse Functions Evaluate Composition from Diagram or Mapping
107. If $f = \{(1,2),(2,5),(3,4),(4,6)\}$ and $g = \{(2,3),(4,2),(5,6),(3,1)\}$, then $\dfrac{g}{\text{g} \circ f^{-1}}$ equals which of the following?
(1) $\{(4,2),(5,2)\}$ (2) $\{(4,3),(3,5)\}$ (3) $\{(5,2),(2,4)\}$ (4) $\{(3,5),(2,4)\}$
\noindent\textbf{107.} If $f = \{(1,2),(2,5),(3,4),(4,6)\}$ and $g = \{(2,3),(4,2),(5,6),(3,1)\}$, then $\dfrac{g}{\text{g} \circ f^{-1}}$ equals which of the following?

\hfill (1) $\{(4,2),(5,2)\}$ \hfill (2) $\{(4,3),(3,5)\}$ \hfill (3) $\{(5,2),(2,4)\}$ \hfill (4) $\{(3,5),(2,4)\}$

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