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Q. Let a mapping f be defined from $\left[ - \frac{1}{2} , \frac{1}{12} \right]$ to $\left[ - \frac{1}{2} , \frac{1}{12} \right]$ . Which one of the following $f$ defines a one-one onto mapping?

UPSEEUPSEE 2018

Solution:

Correct answer is (b) $f (x) = \frac{1}{2} x $