1. **State the problem:** We are given the function $$f(x) = \frac{3x - 32}{x + 6}$$ and the value $$f(-1) = -6$$. 2. **Substitute the given value into the function:** To verify or find the value of the function at $$x = -1$$, substitute $$-1$$ into the function: $$f(-1) = \frac{3(-1) - 32}{-1 + 6}$$ 3. **Simplify the numerator and denominator:** $$= \frac{-3 - 32}{5} = \frac{-35}{5}$$ 4. **Simplify the fraction:** $$= \frac{\cancel{-35}}{\cancel{5}} = -7$$ 5. **Compare with the given value:** The calculated value is $$-7$$, but the problem states $$f(-1) = -6$$. 6. **Conclusion:** The given value $$f(-1) = -6$$ does not match the function's actual value at $$x = -1$$, which is $$-7$$. **Final answer:** $$f(-1) = -7$$