For each of the following functions, indicate the class $($g$($n$))$ the functionbelongs to$.($Use the simplest g$($n$)$ possible in your answers.$)$ Prove yourassertions.a$.($n$2+1)10$ b$.10$n$2+7$n $+3$c$.2$n lg$($n $+2)2+($n $+2)2$ lg n$2$ d$.2$n$+1+3$n$1$e$.$ log $2$ n