MathematicsMedium38×since 2002Q3562Let α\alphaα be a non-zero real number. Suppose f:R→Rf: \mathbf{R} \rightarrow \mathbf{R}f:R→R is a differentiable function such that f(0)=2f(0)=2f(0)=2 and limx→−∞f(x)=1\lim\limits_{x \rightarrow-\infty} f(x)=1x→−∞limf(x)=1. If f′(x)=αf(x)+3f^{\prime}(x)=\alpha f(x)+3f′(x)=αf(x)+3, for all x∈Rx \in \mathbf{R}x∈R, then f(−loge2)f\left(-\log _{\mathrm{e}} 2\right)f(−loge2) is equal to :A7B9C3D5Check answerSkip