Suppose that $f$ and $g$ are real-valued functions with domain the set of all
real numbers. Which {\bf one} of the following statements is {\bf
FALSE}? (Note that $f\circ g$ denotes the composite of $f$ with~$g$.)
\correct If $f$ is continuous and $f\circ g$ is continuous then $g$ is
continuous.
\wrong If $f$ is continuous and $g$ is continuous then $f+g+f\circ g$
is continuous.
\wrong If $f$ and $g$ are continuous then $\hbox{min}(f,g)$ is
continuous.
\wrong If $f$ and $g$ are continuous then $\abs{fg}$ is continuous.
\wrong If $f(x)$ is continuous then $\sqrt{\abs{f}}$ is continuous.
