Suppose That H (X) = F (G (X)) and That

Essay

Suppose that h (x) = f (g (x)) and that we are given the following information: $$\begin{array} { | l | l | l | l | l | l | l | l | } \hline x & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 \\\hline f ( x ) & 2.2 & 2.4 & 2.7 & 3.0 & 3.3 & 3.6 & 4.0 \\\hline g ( x ) & 0.85 & 0.60 & 0.50 & 0.40 & 0.25 & 0.10 & 0.00 \\\hline\end{array}$$ Use the table to estimate the value of $h ^ { \prime }$ (0:3). Justify your estimation.