Find this version of the difference quotient f(3+h)-f(3)/h for the function f(x)=5/x+2

Question

Instead of f(x+h)-f(x)/h , solve using this version of the difference quotient f(3+h)-f(3)/h

Answer 1

f(x) = 5 / (x+2)

[f(3+h) - f(3)] / h = [5 / (5+h) - 1] / h = [(5 - (5+h))/(5+h)] / h = -h / [h(5+h] = -1 / (5+h)