Answer
The statement is false. The correct statement is, “If $f\left( 7 \right)=35$ and $g\left( 4 \right)=7$ , then $\left( f\circ g \right)\left( 4 \right)=35$.”
(One possible answer.)
Work Step by Step
Find:
$\begin{align}
& f\left( g\left( 4 \right) \right)=f\left( 7 \right) \\
& =5
\end{align}$.
$f\left( g\left( 4 \right) \right)\ne 35$
Hence, the given statement is false.
We can change the statement to:
If $f\left( 7 \right)=35,g\left( 4 \right)=7$ , then
$\begin{align}
& f\left( g\left( 4 \right) \right)=f\left( 7 \right) \\
& =35
\end{align}$