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Functions question

2024 · 30 Jan · Shift 2 · Q48
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  5. /2024 · 30 Jan · Shift 2 · Q48

Functions question

2024 · 30 Jan · Shift 2 · Q48

JEE MainMathematicsFunctionsMCQ+4 / −1
If the domain of the function f(x)=log⁡e(2x+34x2+x−3)+cos⁡−1(2x−1x+2)f(x)=\log _e\left(\frac{2 x+3}{4 x^2+x-3}\right)+\cos ^{-1}\left(\frac{2 x-1}{x+2}\right)f(x)=loge​(4x2+x−32x+3​)+cos−1(x+22x−1​) is (α,β](\alpha, \beta](α,β], then the value of 5β−4α5 \beta-4 \alpha5β−4α is equal to
  1. A
    9
  2. B
    12
  3. C
    11
  4. D
    10
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