InterviewSolution
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InterviewSolution
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If `f(x) = 2x` and `g(x) = (x^(2))/(2)+1` , then which of the following can be a discontinuous functions?A. `f(x)+g(x)`B. `f(x)-g(x)`C. `f(x).g(x)`D. `(g(x))/(f(x))` |
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Answer» Correct Answer - D We know that, if f and g be continuous functions, then (a) `f+g` is continuous , (b) `f-g` is continuous (c ) `fg` is continuous , (d) `(f)/(g)` is continuous at these points, where ` g(x) ne 0`. Here, ` (g(x))/(f(x)) = ((x^(2))/(2)+1)/(2x)=(x^(2)+2)/(4x)` Which is discontinuous at `x = 0`. |
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