Question

Choose the correct alternative:

Let f : R → R be defined by `f(x) = {{:(x, x  "is irrational"),(1 - x, x  "is rational"):}` then f is

Options

• Discontinuous at x = `1/2`

• Continuous at x = `1/2`

• Continuous everywhere

• Discontinuous everywhere

Answer 1

Continuous at x = `1/2`