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 Then
  • a)
    f (x) is monotonically increasing on [1, ∞)
  • b)
    f (x) is monotonically decreasing on (0, 1)
  • c)
  • d)
    f (2x) is an odd function of x on R
Correct answer is option 'A,C,D'. Can you explain this answer?
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Thena)f (x) is monotonically increasing on [1, ∞)b)f (x) is mon...
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Thena)f (x) is monotonically increasing on [1, ∞)b)f (x) is mon...


∴ f is monotonically increasing on [1, ∞) (a) is correct.
For x ∈ ( 0,1) , f ' (x)>0
∴ (b) is not correct

∴ f (2x) is an odd function.
∴ (d) is correct.
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Thena)f (x) is monotonically increasing on [1, ∞)b)f (x) is monotonically decreasing on (0, 1)c)d)f (2x) is an odd function of x on RCorrect answer is option 'A,C,D'. Can you explain this answer?
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