$$ \begin{array} {|c|c|c|} \hline x & g(x) & h(x) \\ \hline 1 & -3 & 5 \\ \hline 2 & 5 & -2 \\ \hline 3 & 0 & 3 \\ \hline 4 & 2 & -2 \\ \hline \end{array} $$

The table above shows some values of the functions \(g\) and \(h\). For which value of \(x\) is \(g(x)-h(x)=x\) ?

Summary Submit

For only the last row is \(g(x)-h(x)=x\).

$$ \begin{array} {|c|c|c|} \hline x & g(x) & h(x) \\ \hline 1 & -3 & 5 \\ \hline 2 & 5 & -2 \\ \hline 3 & 0 & 3 \\ \hline \colorbox{aqua}{$4$} & \colorbox{yellow}{$2$} & \colorbox{chartreuse}{$-2$} \\ \hline \end{array} $$ $$ \colorbox{yellow}{$g(x)$}-\colorbox{chartreuse}{$h(x)$}=\colorbox{aqua}{$x$} $$ $$ 2-(-2)=4 $$ $$ 4=4   \checkmark $$

For this row, \(x=\boxed{4}\).