Answer
$f(t)=te^{3t}$
Work Step by Step
We are given that $x=t-2$
Re-write as: $t=x+2$
When $a$ has a positive value then , shift the function to the right for $a$ units and when $a$ has a negative value then , shift the function to the left for $a$ units
Now, $f(t-2) =(t-2) e^{3 (t-2)} $ and $f(x)=(x+2-2)e^{3 (x+2-2)} =x e^{3x}$
So, we have the independent variable $t$ is: $f(t)=te^{3t}$
