The difference quotient for \( f(x) = \frac{1}{x + 1} \) is given by:
\( \frac{-1}{(x + h + 1)(x + 1)} \).
**Final Answer**
The difference quotient is \( \frac{-1}{(x + h + 1)(x + 1)} \).
Football WorldThe difference quotient for \( f(x) = \frac{1}{x + 1} \) is \( \frac{-1}{(x + h + 1)(x + 1)} \).
**Final Answer**
The difference quotient for \( f(x) = \frac{1}{x + 1} \) is \( \boxed{ \frac{-1}{(x + h + 1)(x + 1)} \).