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MHT CET202620 April 2026Morning ShiftMathematicsFunctionsActual

The domain of the function f(x) = (10-x) (x-6) is...

Options

  1. A[6, 10]
  2. B6, 7, 8, 9, 10
  3. C[6, 8]
  4. D6, 7, 8

Correct answer

D. 6, 7, 8

Step-by-step solution

For the function f(x) = (10-x) (x-6) to be defined, the following conditions must be satisfied: 10 - x 0 x 10 x - 6 0 x 6 10 - x x - 6 2x 16 x 8 Also, 10 - x and x - 6 must be integers, which implies x must be an integer. Combining the inequalities, we get 6 x 8 . Since x is an integer, the possible values of x are 6, 7, 8 . Thus, the domain of the function is 6, 7, 8 . Answer: 6, 7, 8

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