Image of Element under Mapping/Examples/Image of 2 under x^4-1

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Example of Image of Element under Mapping

Let $f: \R \to \R$ be the mapping defined as:

$\forall x \in \R: f \paren x = x^4 - 1$

The image of $2$ is:

$f \paren 2 = 15$


Proof

$2^4 - 1 = 16 - 1 = 15$

$\blacksquare$


Sources