Find the Average Value of the Function F Over the Given

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = \frac { 1 } { x y }$ over the region bounded by $y = \frac { 1 } { x } , y = \frac { 2 } { x } , x = 2$ , and $x = 4$ .

A) $8 \ln 2$
B) $\ln 2$
C) $\frac { 1 } { 2 } \ln 2$
D) $2 \ln 2$