Let f(x)-1/2x-5. The average rate of change from x = 11 to x = 27 equals _____.

If you mean f(x) = 1/(2x-5) then

f(11) = 1/17
f(27) = 1/49

Change in y: -32/833
change in x: 16

average rate of change: (-32/833)/16 = -2/833