If f(= 2x and g(= x22+1 then which of the following can be a discontinuous function?
A. f(x) + g(x)
B. f(x) – g(x)
C. f(x).g(x)
D. f(x)g(x)
Answer:D
If f(= 2x and g(= x22+1 then which of the following can be a discontinuous function?
A. f(x) + g(x) B. f(x) – g(x) C. f(x).g(x) D. f(x)g(x)
Explanation: Since f(x) = 2x and g(x) = x22+1 are continuous functions, then by using the algebra of continuous functions, the functions fix) + g(x), fix) – g(x), f(x),g(x) are also continuous functions but f(x)g(x) Is discontinuous function at x = 0