Let the domains of the functions f ( x ) = log 4 log 3 log 7 (8 – log 2 ( x 2 + 4 x + 5))…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let the domains of the functions f(x) = log4 log3
log7(8 – log2(x2 + 4x + 5)) and \(g(x)=\sin ^{-1}\left(\frac{7 x+10}{x-2}\right)\) \(\text { be ( } \alpha, \beta \text { ) and [ } \gamma, \delta \text { ], respectively. Then } \alpha^{2}+\beta^{2}+\gamma^{2}+\delta^{2}\) is equal to :
log7(8 – log2(x2 + 4x + 5)) and \(g(x)=\sin ^{-1}\left(\frac{7 x+10}{x-2}\right)\) \(\text { be ( } \alpha, \beta \text { ) and [ } \gamma, \delta \text { ], respectively. Then } \alpha^{2}+\beta^{2}+\gamma^{2}+\delta^{2}\) is equal to :
- 13
- 16
- 15
- 14
Answer
(D) 14
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