To find the smaller solution of \( g(x) = f(x) \) given the points you've mentioned (1, 3) and (6, 13), you need to determine the x-values where the graphs of \( g(x) \) and \( f(x) \) intersect.
Based on your description, it appears that:
- The point (1, 3) may correspond to \( g(1) = f(1) = 3 \)
- The point (6, 13) likely corresponds to \( g(6) = f(6) = 13 \)
Since you are looking for the smaller solution, and (1, 3) is less than (6, 13), the smaller solution for \( g(x) = f(x) \) would be:
\[ x = 1 \]
Thus, the smaller solution of \( g(x) = f(x) \) is \( x = 1 \).