Function Definition
1. We are given three functions: $$m(x) = 4x$$, $$n(x) = |x-3|$$, and $$p(x) = \frac{1}{x} + 1$$.
2. Let us analyze each function:
- $$m(x) = 4x$$ is a linear function that multiplies the input $$x$$ by 4.
- $$n(x) = |x-3|$$ is the absolute value function shifted right by 3 units. It outputs the distance of $$x$$ from 3.
- $$p(x) = \frac{1}{x} + 1$$ is a rational function defined for all $$x \neq 0$$.
3. Typical problems could involve combining these functions or evaluating them at specific points. Please specify the exact question you want to solve with these functions.