\chapter{Functions and graphs}
\section{Implicit definition of domain}
Answer the questions in your own words.
\begin{enumerate}
\item
Suppose a function is defined by a formula, without any other information. How do we find the domain?
\item
How do we find the domain for the function \(\displaystyle{f(x)=\frac{3x+8}{4x-7}}\)?
\item
How do we find the domain for the function \(f(x)=\sqrt{3x+5}\)?
\item
How do we find the domain for the function \(\displaystyle{f(x)=\frac{3x}{\sqrt{4x-3}}}\)?
\item
Why is the domain of \(\displaystyle{f(x)=3x^4-3x^2-\frac{3}{2}x +\sqrt{3}}\) the set of all real numbers
\( (-\infty,\infty)\), even though the function contains a denominator and a square root?
\end{enumerate}