Let f(x)= cases x, & x rational 0, & x irrational cases and g(x)= cases 0, & x rational x, & x irrational cases . Then f-g is

JEE Main Mathematics question

Let and . Then is

(A)One-one and into
(B)Neither one-one nor onto
(C)Many one and onto
(D)One-one and ontoCorrect

Answer: (D)

Solution

For rational : and , so . For irrational : and , so . One-one: a rational input gives a rational output and an irrational input gives an irrational output, so the two

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-007362