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.

Answer :

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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