Definition:Linearly Independent Real Functions

Definition
Let $f \left({x}\right)$ and $g \left({x}\right)$ be real functions defined on a closed interval $\left[{a \,.\,.\, b}\right]$.

Let $f$ and $g$ be such that they are not linearly dependent.

Then $f$ and $g$ are linearly independent.

Also see

 * Definition:Linearly Dependent Real Functions