f(x) = begincases x, & if x is rational \ 0, & if x is irrational endcases, g(x) = begincases 0, & if x is rational \ x, & if x is irrational endcases Then, f - g is

f(x) = begincases x, & if x is rational \ 0, & if x is… — JEE Main 2005 Mathematics PYQ

AIEEE 2005

f(x) = \begin{cases} x, & \text{if } x \text{ is rational} \\ 0, & \text{if } x \text{ is irrational} \end{cases}

g(x) = \begin{cases} 0, & \text{if } x \text{ is rational} \\ x, & \text{if } x \text{ is irrational} \end{cases}

Then,

f - g

Show answer

Correct option: D

[AIEEE 2005]

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