Answer
24
Work Step by Step
$F(x)=f(g(x))$ ___(1)
Using chain rule differentiating (1) with respect to $x$
$F'(x)=f'(g(x))\cdot g'(x)$
$F'(5)=f'(g(5))\cdot g'(5)$
Using given data $\;\;g(5)=-2\;\;,\;\;g'(5)=6$
$F'(5)=f'(-2)\cdot (6)$
Using given data $f'(-2)=4$
$F'(5)=4\cdot 6=24$
Hence $F'(5)=24$.
