Assume we have two asymptotically non$-$negative functionsf$1($x$),$f$2($x$).$ Prove ordisprove$($a$)$ max$($f$1($x$),$f$2($x$))=\backslash$theta $($f$1($x$)+$f$2($x$)).(5$ pt$)($b$)$f$1($x$)+$f$2($x$)=\backslash$theta $($min$($f$1($x$),$f$2($x$))).(5$ pt$)$