If f(= \(\left\{\begin{array}{ccc}x, & x \text { is irrational } \\ 1-x, & x \text { is rational }\end{array}\right.\) then f is………..
A. discontinuous at x = \(\frac{1}{2}\)
B. continuous at x = \(\frac{1}{2}\)
C. continuous everywhere
D. discontinuous everywhere
Answer:B
If f(= \(\left\{\begin{array}{ccc}x, & x \text { is irrational } \\ 1-x, & x \text { is rational }\end{array}\right.\) then f is………..
A. discontinuous at x = \(\frac{1}{2}\) B. continuous at x = \(\frac{1}{2}\) C. continuous everywhere D. discontinuous everywhere