1. **State the problem:** Simplify the function $f(x) = 4x - 6x + 5$. 2. **Combine like terms:** The terms $4x$ and $-6x$ are like terms because they both contain $x$. 3. **Simplify the expression:** $$f(x) = 4x - 6x + 5 = (4 - 6)x + 5 = -2x + 5$$ 4. **Final answer:** The simplified function is $$f(x) = -2x + 5$$ This means for any value of $x$, you multiply it by $-2$ and then add $5$ to get the output.