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Let f(x) = sqrt(2-x-x^(2)) and g(x) = c...

Let ` f(x) = sqrt(2-x-x^(2)) and g(x) = cos x `. Which of the following statement are true ?
(I) Domain of ` f((f(x))^(2))` = Domain of `f(g(x))`
(II) Domain of ` f(g(x)) + g(f(x))`= Domain of ` f(g(x))`
(III) Domain of ` f(g(x))`= Domain of ` f(g(x))`
(IV) Domain of ` g((f(x))^(3))` = Domain of ` f(g(x))`

A

Only (I)

B

Only (I) and (II)

C

Only (III) and (IV)

D

Only (I) and (IV)

Text Solution

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The correct Answer is:
B
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