The function g : R

$+->$ R

$+$ defined by g$($x$)=$ x

$5+5!+($x

$4+$ x

$2+1)$ log x

$9$

is big$-$O of which

one of the following functions?

$($i$)$ log x

$9$

$($ii$)5!($iii$)$ x

$4$

$($iv$)$ x

$5$

$($v$)$ x

$4$

log x

$9$

$.$

Just pick the correct answer. No explanation is required $($Hint: Use the relevant theorems

from slides$/$textbook$)$

Solution. g is O$($x

$5$

$)$