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Question: The domain of the function f(x) = log<sub>10</sub> log<sub>1­0</sub> (1+ x<sup>3</sup>) is...

The domain of the function f(x) = log10 log1­0 (1+ x3) is

A

(–1, ∞)

B

(0, ∞)

C

[0, ∞)

D

(–1, ∞)

Answer

(0, ∞)

Explanation

Solution

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

⇒ 1+ x3 > 100 = 1 or x 3 > 0 ⇒ x ∈ (0, ∞)