For a differentiable function {\f}: \mathbb{R} \rightarrow \mathbb{R}, suppose f^{'}(x)=3 f(x)+\alpha, where \alpha \in {\\mathbb{R}}, f(0)=1 and \lim_{ {\x} \rightarrow-\infty} f( {\x})=7. Then 9 {\f} (-\log _{ {\e}} 3) is equal to ______. [9 Apr 2024 Shift 2]

JEE Main 9 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

For a differentiable function f:ℝ⟶ℝ, suppose f′(x)=3f(x)+α, where α∈ℝ,f(0)=1 and

lim

x⟶−∞

f(x)=7. Then 9f(−loge3) is equal to ______.

[9 Apr 2024 Shift 2]

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