Use the table below to estimate the value of $g'(1)$ to the nearest tenth, where $g(x)=f(f(x))$. To estimate the appropriate derivatives, use the average of the two second slopes near the point in question (if approximating a derivative at $x=.1$, do the secant slopes on [0,.1] and [.1,.2], and then average them).
$$\begin{array}{|c|c|} \hline x & f(x) \\ \hline 0 & 1.7\\ .5 & 1.8\\ 1.0 & 2.0\\ 1.5 & 2.4\\ 2.0 & 3.1\\ 2.5 & 4.4\\ \hline \end{array}$$

$g'(1) =$