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Let f(x) = x - x^(2) and g(x) = {x}, AA ...

Let f(x) = `x - x^(2) and g(x) = {x}, AA x in R` where denotes fractional part function.
Statement I f(g(x)) will be continuous, `AA x in R`.
Statement II `f(0) = f(1) and g(x)` is periodic with period 1.

A

Statement I is correct, Statement II is also correct, Statement II is the correct explanation of Statement I

B

Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I

C

Statement I is correct, Statement II is incorrect

D

Statement I is incorrect, Statement II is correct.

Text Solution

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The correct Answer is:
A
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