\chapter{Functions and graphs}
\section{Algebraic operations with functions}
Answer the questions in your own words.
\begin{enumerate}
\item
Suppose you have a formula for \(f(x)\) and a formula for \(g(x)\).
How would you find a formula for the function \(f+g\)?
\item
What is the difference quotient of a function \(f(x)\)?
\item
Suppose you worked a difference quotient problem for the function \(f(x)=3x^2-7x+11\) and you found
as answer
\[\frac{6xh+3h^2-14x-7h}{h}.\]
How can you tell right away that this answer must be wrong?
\item
What is the algebra identity needed to simplify the difference quotient for the square root function
\(f(x)=\sqrt{x}\)?
\end{enumerate}