﻿ Find the domain of f (x) = log10 (1 + x3) : Kaysons Education

# Find The Domain Of f (x) = Log10 (1 + x3)

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## Question

### Solution

Correct option is

f (x) ,] –1, ∞[

f (x) = log10 (1 + x3) exists

if       1 + x3 > 0

⇒    (1 + x) (1 – x x2) > 0;

{where (1 – x2) is always positive as D < 0 and a > 0.}

So,   1 + x > 0

or           > -1

or        ] –1, ∞[

Thus, domain of above function f (x) ,] –1, ∞[.

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Q10

Find the domain of f (x) = log10log10 (1 + x3)