Answer
The graph shows that the functions are not identical.
Work Step by Step
Given
\begin{equation}
\begin{aligned}
& \sqrt{16 x}-\sqrt{9x}=\sqrt{7x} \\
& {[0,5,1] \text { by }[0,5,1]}
\end{aligned}
\end{equation}
Let
\begin{equation}
\begin{aligned}
f(x) &= \sqrt{16 x}-\sqrt{9x}\\
g(x)& = \sqrt{7x}\\
\end{aligned}
\end{equation}
The graph shows that the functions are not identical.
They will be the same if we choose:
\begin{equation}
\begin{aligned}
g(x)&=4\sqrt{ x}-3\sqrt{x}\\
& =\sqrt{x}
\end{aligned}
\end{equation}