Find the difference quotient (f(x + h) - f(x) ) /h, where h ≠ 0, for the function f(x) = 1/(x + 6) . Simplify your answer as much as possible.
a) -1/(h * (x + 6) )
b) 1/(h * (x + 6) )
c) 1/h
d) -h/(x + 6)