Let α be a non-zero real number. Suppose f: R → R is a differenti… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 1 February, Shift 2Linear Differential Equations

Let $\alpha$ be a non-zero real number. Suppose $f : R \to R$ is a differentiable function such that $f(0) = 2$ and $\lim_{x \to \infty} f(x) = 1$ . If $f'(x) = \alpha f(x) + 3$ , then $f(-\log 2)$ is equal to:

A
$3$
B
$5$
C
$9$
D
$7$

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