Question

Let g be the greatest integer function. Then the function f(x) = (g(x))² − g(x²) is discontinuous at 

A. all integers 

B. all integers except 0 and 1 

C. all integers except 0 

D. all integers except 1

Answer 1

Correct option D. all integers except 1

Explanation:

g(x) = [x] 

f(x) = [x]² –[x²] 

f(x) is discontinuous at all integers except 1.