Let be given by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let g:R→Rg:\mathbb R \to \mathbb R be given by g(x)=ax3+3xg(x)=ax^{3}+3x, where a∈Ra\in\mathbb R. The function gg is one–one on R\mathbb R when (a) a≠0a\neq 0 (b) for all real aa (c) a≥0a\ge 0 (d) a>0a>0

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