Q. 835.0( 1 Vote )

# If f(x) = 2x and g(x) = 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.

We know that if two functions f(x) and g(x) are continuous then {f(x) +g(x)},{f(x)-g(x)}, {f(x).g(x)} and are continuous.

Since, f(x) = 2x and are polynomial functions, they are continuous everywhere.

{f(x) +g(x)},{f(x)-g(x)}, {f(x).g(x)} are continuous functions.

for,

now, f(x) = 0

4x = 0

x = 0

is discontinuous at x=0.

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