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

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, $x=\boxed{4}$.