Let f:X→Y,$$f(x)=$$$$sin$$ x $$+$$$$cos$$ $$x+22$$ be invertible then X→Yis $$/are$$.

Correct option is 1π4,5π4→2,32

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Let $f : X \to Y, f (x) = \sin x + \cos x + 2 \sqrt{2}$ be invertible then $X \to Y$ is /are.

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π4,5π4→2,32

-π4,3π4→2,32

-3π4,3π4→2,-32

-3π4,π4→-2,32

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detailed solution

Correct option is A

f(x)=2sin x+π4+22 or f(x)=2cos x-π4+22 ⇒ Y=2,32 and X=-3π4,π4or π4,5π4

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Let f:X→Y,f(x)=sin x +cos x+22 be invertible then X→Yis /are.

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Let $f : X \to Y, f (x) = \sin x + \cos x + 2 \sqrt{2}$ be invertible then $X \to Y$ is /are.