JEE Mains · Maths · STD 11- 2. Relation and Function
If the domain of the function \(f(x)=\sin ^{-1}\left(\frac{5-x}{3+2 x}\right)+\frac{1}{log _e (10-x)}\) is \((-\infty, \alpha]\)\(\cup[\beta, \gamma)-\{\delta\}\), then \(6(\alpha+\beta+\gamma+\delta)\) is equal to
- A 70
- B 66
- C 67
- D 68
Answer & Solution
Correct Answer
(A) 70
Step-by-step Solution
Detailed explanation
\(-1 \leq \frac{5-x}{2 x+3} \leq\ \&\ 10-x>0,10-x \neq 1\) \(\left|\frac{5-x}{2 x+3}\right| \geq 1 \ \&\ x<10\ \&\ x \neq 9\) \((5-x)^2-(2 x+3)^2 \leq 0\ \&\ x<10\ \&\ 4 x \neq 9\) \((x+8)(3 x-2) \geq 0\ \&\ x<10\ \&\ x \neq 9\)…
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