Step 1 :\( (f \circ g)(x) = f(g(x)) = \frac{6}{1 - 7(\frac{1}{x})} \)
Step 2 :\( (f \circ g)(x) = \frac{6}{1 - \frac{7}{x}} \)
Step 3 :\( (f \circ g)(x) = \frac{6x}{x - 7} \)
Step 4 :\( (g \circ f)(x) = g(f(x)) = \frac{1}{\frac{6}{1 - 7x}} \)
Step 5 :\( (g \circ f)(x) = \frac{1 - 7x}{6} \)