Multiple choice general knowledge math & puzzles

If functions f(x) and g(x) are continuous everywhere then

  1. (f / g)(x) is also continuous everywhere

  2. (f / g)(x) is also continuous everywhere except at the zeros of g(x)

  3. more information is needed to answer this question

  4. none of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The quotient of two continuous functions $f/g$ is continuous at all points where the denominator $g(x)$ is not zero. If $g(x) = 0$, the function is undefined and thus not continuous at that point, making the 'except at the zeros' clause necessary.

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