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Consider alpha gt 1 and f:[1/alpha,alpha...

Consider `alpha gt 1` and `f:[1/alpha,alpha] rarr [1/alpha,alpha]` be bijective function. Suppose that `f^(-1)(x)=1/f(x), " for all " in [1/alpha,alpha]`.
Which of the following statements can be concluded about (f(x))?

A

f(x) is discontinuous in `[1/alpha, alpha]`

B

f(x) is increasing in `[1/alpha, alpha]`

C

f(x) is decreasing in `[1/alpha, alpha]`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
b
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ARIHANT MATHS ENGLISH-FUNCTIONS-Exercise (Passage Based Questions)
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