Figure $9\mathrm{.}2\mathrm{.}2$: Rules for the asymptotic growth of functions.

Let $f,g,$ and $h$ be functions from $Z^{+}$to $R^{+}$:

If $f=O(h)$ and $g=O(h),$ then $f+g=O(h).$

If $f=(h)$ or $g=(h),$ then $f+g=(h).$

If $f=O(g)$ and $c$ is a positive real number, then $c*f=O(g).$

If $f=(g)$ and $c$ is a positive real number, then $c*f=(g)$

If $f=O(g)$ and $g=O(h),$ then $f=O(h).$

If $f=(g)$ and $g=(h),$ then $f=(h).$

$f=O(n^3)$

Question $23$

$1pts$

$f(n)=2*3^n$