For which real values of is the function given by injective?

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

Problem

For which real values of kk is the function f:R→Rf:\mathbb{R}\to\mathbb{R} given by f(x)=kx+2f(x)=kx+2 injective? (a) k>0k>0 (b) All real kk (c) k≠0k\neq 0 (d) k≥1k\geq 1

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