Exercise $6$ Given the following functions.

$f(n)=1+2-n+3-n+4$

$g(n)=(1+n)-(2+n)-3-n$

$h(n)=(17+n^2)-lo{g}_3(n)$

$k(n)=42+n^2+(1+n)-(2-n)$

Which of the following statements are true or false? Give brief reasons for your answer $(1$

sentence for each$).$

ginO$(f)$

ginO$(f)-O(f)$

ginO$(h)$

hinO$(g)$

ginO$(k)$