iran-konkur 2014 Q102

iran-konkur · Other · konkur-riazi_1393 Composite & Inverse Functions Evaluate Composition from Algebraic Definitions
102- Two functions with the sets $g=\{(2,5),(3,4),(1,6),(4,7),(8,1)\}$ and $f(x)=2x-5$ are given. If $(f^{-1}\circ g)(a)=6$, what is $a$?
(1) $1$ (2) $2$ (3) $3$ (4) $4$
\textbf{102-} Two functions with the sets $g=\{(2,5),(3,4),(1,6),(4,7),(8,1)\}$ and $f(x)=2x-5$ are given. If $(f^{-1}\circ g)(a)=6$, what is $a$?

\medskip
(1) $1$ \hfill (2) $2$ \hfill (3) $3$ \hfill (4) $4$

\medskip