Mathematics

Mathematics

Problem

For which value(s) of kk is the function f:R→Rf:\mathbb R \to \mathbb R given by f(x)=kx2+2x+3f(x)=kx^{2}+2x+3 invertible? a) k>0k>0 b) k>13k>\dfrac{1}{3} c) k=0k=0 d) All real kk except 00

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