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Find the range of f(x)=tan^(-1)sqrt((x^2...

Find the range of `f(x)=tan^(-1)sqrt((x^2-2x+2))`

Text Solution

Verified by Experts

The correct Answer is:
`[pi//4,pi//2)`
`f(x)=tan^(-1)(sqrt((x-1)^(2)+1))`
Now, `(x-1)^(2) +1 in [1,oo)`
or `tan^(-1)(sqrt((x-1)^(2)+1))in [(pi)/(4),(pi)/(2))`
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