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If f:A rarr B defined as f(x)=2sinx-2 co...

If `f:A rarr B` defined as `f(x)=2sinx-2 cos x+3sqrt2` is an invertible function, then the correct statement can be

A

`A=[(pi)/(4), (5pi)/(4)], B=[2sqrt2, 5sqrt5]`

B

`A=[(-pi)/(4),(5pi)/(4)], B=[sqrt2, 5sqrt2]`

C

`A=[(-pi)/(4), (3pi)/(4)],B=[sqrt2, 4,sqrt2]`

D

`A=[(-pi)/(4),(3pi)/(4)], B=[sqrt2, 5sqrt2]`

Text Solution

Verified by Experts

The correct Answer is:
D
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