Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The domain of the function f(x) = log10log1­0(1+ x3) is

Options:

(–1, ∞

(0, ∞

[0, ∞)

(–1, ∞)

Correct Answer:

(0, ∞

Explanation:

For f(x) to be defined log10­(1+ x3) > 0

⇒ 1+ x3 > 100  = 1  or x3 > 0 ⇒ x ∈ (0, ∞).

Hence (B) is the correct answer.