1. We are given the inverse function $$f^{-1}(x) = \frac{x - 8}{7}$$ and need to find the original function $$f(x)$$. 2. Recall that if $$y = f^{-1}(x)$$, then $$x = f(y)$$. So, we start by setting $$y = f^{-1}(x) = \frac{x - 8}{7}$$. 3. To find $$f(x)$$, we swap $$x$$ and $$y$$ and solve for $$y$$: $$x = \frac{y - 8}{7}$$ 4. Multiply both sides by 7 to clear the denominator: $$7x = y - 8$$ 5. Add 8 to both sides: $$y = 7x + 8$$ 6. Therefore, the original function is: $$f(x) = 7x + 8$$