TS EAMCET · Maths · Functions
The domain of the function \(f(x)=\sin ^{-1}\left[\log _4\left(\frac{x}{4}\right)\right]+\sqrt{17 x-x^2-16}\) is
- A \([-1,1]\)
- B \([1,4]\)
- C \((0,16]\)
- D \([1,16]\)
Answer & Solution
Correct Answer
(D) \([1,16]\)
Step-by-step Solution
Detailed explanation
We have, \[ f(x)=\sin ^{-1}\left[\log _4\left(\frac{x}{4}\right)\right]+\sqrt{17 x-x^2-16} \] \(f(x)\) is defined of…
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