1. **State the problem:** We are given two functions $f(c) = 3c - 8$ and $g(c) = \sqrt{14 - c}$. We need to evaluate the composition $(f \circ g)(-11)$, which means $f(g(-11))$. 2. **Evaluate the inner function $g(-11)$:** $$g(-11) = \sqrt{14 - (-11)} = \sqrt{14 + 11} = \sqrt{25} = 5$$ 3. **Evaluate the outer function $f$ at $g(-11)$:** $$f(g(-11)) = f(5) = 3 \times 5 - 8 = 15 - 8 = 7$$ 4. **Final answer:** $$(f \circ g)(-11) = 7$$ This means when you plug $-11$ into $g$, then plug that result into $f$, you get 7.