The function \(f(x) = 3x - 2\) is a linear function with a slope of 3 and a y-intercept of -2.

To find the inverse function \(f^{-1}(x)\), we swap \(x\) and \(y\) and solve for \(y\):

\(x = 3y - 2\)

\(x + 2 = 3y\)

\(y = \frac{1}{3}(x + 2)\)

Thus, \(f^{-1}(x) = \frac{1}{3}(x + 2)\).

The graph of \(y = f(x)\) is a line with slope 3 and y-intercept -2.

The graph of \(y = f^{-1}(x)\) is a line with slope \(\frac{1}{3}\) and y-intercept \(\frac{2}{3}\).

The line \(y = x\) is the line of symmetry, and the graphs of \(y = f(x)\) and \(y = f^{-1}(x)\) are reflections of each other across this line.