Explain, in one or two sentences, why the function defined by has no inverse on , but…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Explain, in one or two sentences, why the function

f:\mathbb{R}\to\mathbb{R}

defined by

f(x)=x^{2}

has no inverse on

\mathbb{R}

, but does have an inverse when its domain is restricted to

[0,\infty)

.

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