1. **State the problem:** Simplify and understand the expression $$4.1h\left(\sqrt[3]{x^{2} + 3x + 4}\right)$$ but with the numerator inside the cube root changed from 3 to 1, so the expression inside the cube root becomes $$x^{2} + 1x + 4$$. 2. **Rewrite the expression:** The expression is $$4.1h\left(\sqrt[3]{x^{2} + x + 4}\right)$$. 3. **Explain the cube root:** The cube root function $$\sqrt[3]{y}$$ means the number which, when cubed, gives $$y$$. 4. **No further simplification is possible** for the polynomial inside the cube root since $$x^{2} + x + 4$$ does not factor nicely over the reals. 5. **Final expression:** $$4.1h\left(\sqrt[3]{x^{2} + x + 4}\right)$$ is the simplified form with the numerator changed to 1. This expression can be used as is for further evaluation or graphing.