If functions f and g have domains Df and Dg respectively, then the domain of f/g is given by?

Maths / Basic Math — Multiple-choice practice

  1. A. None of these
  2. B. Union of Df and Dg
  3. C. The intersection of Df and Dg
  4. D. The intersection of Df and Dg without the zeros of function g

Correct answer

The intersection of Df and Dg without the zeros of function g

Explanation

Explanation Intersection of D f D f ​ and D g D g ​ : The function f g g f ​ is defined only where both f f and g g are defined. Excluding zeros of g g : The function f g g f ​ is undefined where g ( x ) = 0 g ( x ) = 0 because division by zero is not allowed.

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