The domain of f(x) = + 10 C x is

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

(0, 1]U [4, 5)

(0, 5)

{1, 4}

None of these

Text Solution

Verified by Experts

The correct answer is:

Let f 1 = and f 2 = 10 C x .

Clearly f 1 is defined for ≥ ≥ 0

⇒ ⇒ 0 < ≤ ≤ 1

⇒ ⇒ > 0 and ≤ ≤ 1

⇒ ⇒ x (x – 5) < 0 and x 2 – 5x + 4 ≥ ≥ 0

⇒ ⇒ x (0, 5) and x (- , 1]U [4, )

⇒ ⇒ f 1 is defined for x (0, 1] U [4, 5) and f 2 is defined for x {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} ⇒ ⇒ f(x) is defined for x D f1 D f2 = {1, 4}

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