Question

Find and simplify the difference quotient f(x + h)− f(x)/h for the following function. f(x) = 3/x

Answer 1

this is 1st principals...

f(x)= 3/x

f(x +h) = 3/(x + h)

you need a common factor

f(x +h) - f(x) = 3x - 3(x + h)
------------
(x +h)(x)

hope this makes sense as a start