TS EAMCET · Maths · Continuity and Differentiability
The number of points at which the function \(f(x)=\frac{\sqrt{11+|x|-6 \sqrt{2+|x|}}}{6-2 \sqrt{2+|x|}}\) is discontinuous in \((-\infty, \infty)\) is
- A 1
- B 0
- C 2
- D 3
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
\(f(x)=\sqrt{\frac{11+|x|-6 \sqrt{2+|x|}}{6-2 \sqrt{2+|x|}}}\) This function will be discontinuous where function is undefined. So, it is undefined, if \(\frac{11+|x|-6 \sqrt{2+|x|}}{6-2 \sqrt{2+|x|}} < 0\) and \(6-2 \sqrt{2+|x|}=0\) and \(2+|x| < 0\) Now,…
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