Teaching DSSSB TGT Mock Test 2025 Mathematics Relations and Functions

If function f (x) = log2 \(\left(\frac{\sin x-\cos x+3 \sqrt{2}}{\sqrt{2}}\right)\) then -

1
Range of f (x) is R - [1, 2]
2
Domain of f (x) is R - {nπ}, n ∈ I
3
Range of f (x) is [1, 2]
4
None of these
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