JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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f\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} {x,\;\;if\;\;x\;\;is\;\;rational}\\ {0,\;\;if\;\;x\;\;is\;\;irrational} \end{array}} \right.

and

f\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} {0,\;\;if\;\;x\;\;is\;\;rational}\\ {x,\;\;if\;\;x\;\;is\;\;irrational\;} \end{array}} \right.

. Then,

f - g

View answer and explanation

Correct option: D

One-one and onto

Option D (One-one and onto) is correct because the function f-g is both injective (one-to-one) and surjective (onto).

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