Subjects algebra

Function Definition

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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.