Answer
(a) ${\bf{F}}\left( { - 3,5} \right) = \left( { - 15,8} \right)$
(b) ${\bf{F}}\left( { - 3,5} \right) = \left( {4,8} \right)$
(c) ${\bf{F}}\left( { - 3,5} \right) = \left( {{3^2},{{\log }_2}\left( 2 \right)} \right) = \left( {9,1} \right)$
Work Step by Step
(a) We have ${\bf{F}}\left( {x,y} \right) = \left( {xy,y - x} \right)$. So,
${\bf{F}}\left( { - 3,5} \right) = \left( { - 15,8} \right)$
(b) We have ${\bf{F}}\left( {x,y} \right) = \left( {4,8} \right)$. So,
${\bf{F}}\left( { - 3,5} \right) = \left( {4,8} \right)$
(c) We have ${\bf{F}}\left( {x,y} \right) = \left( {{3^{x + y}},{{\log }_2}\left( {x + y} \right)} \right)$. So,
${\bf{F}}\left( { - 3,5} \right) = \left( {{3^2},{{\log }_2}\left( 2 \right)} \right) = \left( {9,1} \right)$
