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निम्नलिखित फलन का प्रान्त व परिसर ज्ञात ...

निम्नलिखित फलन का प्रान्त व परिसर ज्ञात करो।
`f(x) = cos^(-1)(sqrt(2x^(2)+1)/(x^(2)+1))`,

लिखित उत्तर

Verified by Experts

The correct Answer is:
(i) `D: x in R, R: [pi//4, pi]`
(ii) `D: x in (npi, npi + pi/2)- {x|x = npi + pi/4}, n in 1; R : [pi/3, (2pi)/3] - {pi/2}`
(iii) `D: x in R, R:[0,pi/2)`, (iv) `D: x in R; R: (-pi/2, pi/4]`
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