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Domain of f(x)= ^{ -1 }{ x } + ^{ -1 }{ x } +co ^{ -1 }{ x } i

Question

Domain of $f (x) = cot^{- 1} x + cos^{- 1} x + co sec^{- 1} x$ is

[- 1, 1]

R

(- \infty, - 1] \cup [1, \infty)

{- 1, 1}

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Domain of

f (x) = cot^{- 1} x + cos^{- 1} x + co sec^{- 1} x

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Text solutionVerified

f (x) = cot^{- 1} x + cos^{- 1} x + cose c^{- 1} x

Domain of

cot^{- 1} x = (- \infty, \infty)

Domain of

cos^{- 1} x = [- 1, 1]

Domain of

cose c^{- 1} x = (- \infty, - 1] \cup [1, \infty)

These function are in addition.

So, we have to take the intersection of all domains.

So, answer is

{- 1, 1}

concept:

f (x) = f_{1} (x) + f_{2} (x) + ... + f_{n} (x)

domain of

f (x) =

Domain of

f_{1} (x) \cap

domain of

f_{2} (x)

\cap

domain of

f_{n} (x)

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Question Text	Domain of $f (x) = cot^{- 1} x + cos^{- 1} x + co sec^{- 1} x$ is
Answer Type	Text solution:1
Upvotes	150