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Functions question

2025 · 3 Apr · Shift 1 · Q26
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  5. /2025 · 3 Apr · Shift 1 · Q26

Functions question

2025 · 3 Apr · Shift 1 · Q26

JEE MainMathematicsFunctionsMCQ+4 / −1
 If the domain of the function f(x)=log⁡e(2x−35+4x)+sin⁡−1(4+3x2−x) is [α,β), then α2+4β is equal to \text { If the domain of the function } f(x)=\log _e\left(\frac{2 x-3}{5+4 x}\right)+\sin ^{-1}\left(\frac{4+3 x}{2-x}\right) \text { is }[\alpha, \beta) \text {, then } \alpha^2+4 \beta \text { is equal to } If the domain of the function f(x)=loge​(5+4x2x−3​)+sin−1(2−x4+3x​) is [α,β), then α2+4β is equal to 
  1. A
    4
  2. B
    3
  3. C
    7
  4. D
    5
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