Let $J _ { 5 } = \{ 0,1,2,3,4 \}$ And Define a Function

Essay

Let $J _ { 5 } = \{ 0,1,2,3,4 \}$ and define a function $g : J _ { 5 } \times J _ { 5 } \rightarrow J _ { 5 } \times J _ { 5 }$ as follows: For all $( a , b ) \in$ $J _ { 5 } \times J _ { 5 }$
$g ( a , b ) = ( ( 5 a - 3 ) \bmod 5 , ( 4 b + 2 ) \bmod 5 ) .$ Find $g ( 3,4 )$ .