Consider Theorem $7\mathrm{.}1\mathrm{.}1.$

Theorem $7\mathrm{.}1\mathrm{.}1-$ Transforms of Some Basic Functions

a$.L\{1\}=\frac{1}{s}$

b$.L\{t^n\}=\frac{n!}{s^{n+1}},n=1,2,3,$dots

c$.L\{e^{at}\}=\frac{1}{s-a}$

d$.L\{sin(kt)\}=\frac{k}{s^2+k^2}$

e$.L\{cos(kt)\}=\frac{s}{s^2+k^2}$

f$.L\{sinh(kt)\}=\frac{k}{s^2-k^2}$

g$.L\{cosh(kt)\}=\frac{s}{s^2-k^2}$

Use Theorem $7\mathrm{.}1\mathrm{.}1$ to find $L\{f(t)\}.($Write your answer as a function of $s.)$

$f(t)=(3t-1{)}^3$

$L\{f(t)\}=$