slove this in Algorithms Analysis and Design course

Q$4$: In each of the following situations, indicate whether $f=O(g),$ or $f=(g),$ or both $f=\frac{O}{g}.$

$f(n)=n-100$ and $g(n)=n-200.$

$f(n)=n^{\frac{1}{2}}$ and $g(n)=n^{\frac{2}{3}}.$

$f(n)=100n+logn$ and $g(n)=n+(logn{)}^2.$

$f(n)=10logn$ and $g(n)=log(n^2).$

$f(n)=\frac{n^2}{logn}$ and $g(n)=n_{{?}_{?}}(logn{)}^2.$

$f(n)=n^{\frac{1}{2}}$ and $g(n)=4^{logn}$

$f(n)=n{2}^n$ and $g(n)=3^n.$

$f(n)=2^n$ and $g(n)=2^{n+1}.$