Domain of $f(x)=\frac{1}{[x]}+\sqrt{(2-x

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Domain of $f(x)=\frac{1}{[x]}+\sqrt{(2-x) x}$ is equal to :

(If [x] denotes the greatest integer function]

Options:

[0, 2]

[0, 1]

[1, 2]

(1, 2]

Correct Answer:

[1, 2]

Explanation:

For the do main,

[x] ≠ 0 and (2 – x)x ≥ 0

x ∉ (0, 1) and x(x – 2) ≤ 0

Hence (3) is the correct answer.