1. **State the problem:** We need to find the equation of $h(x) = (f - g)(x)$ where $f(x) = \sqrt{x+1}$ and $g(x) = -x + 4$. 2. **Formula used:** The difference of two functions is given by: $$h(x) = f(x) - g(x)$$ 3. **Substitute the given functions:** $$h(x) = \sqrt{x+1} - (-x + 4)$$ 4. **Simplify the expression:** $$h(x) = \sqrt{x+1} + x - 4$$ 5. **Final answer:** $$h(x) = x + \sqrt{x+1} - 4$$ This is the equation of $h(x)$, which combines the square root function and a linear function by subtraction.