The domain of the function f(x) = frac{1}{log | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For the function $f(x) = \frac{1}{\log_{10}(1 - x)} + \sqrt{x + 2}$ to be defined:$1$. The term inside the square root must be non-negative: $x +

Vedclass · Accepted Answer

$[-2, 0) \cup (0, 1)$

Vedclass · Answer

(B) For the function $f(x) = \frac{1}{\log_{10}(1 - x)} + \sqrt{x + 2}$ to be defined:$1$. The term inside the square root must be non-negative: $x + 2 \ge 0 \implies x \ge -2$.$2$. The argument of the logarithm must be positive: $1 - x > 0 \implies x $3$. The denominator must not be zero: $\log_{10}(1 - x) 
e 0 \implies 1 - x 
e 1 \implies x 
e 0$.Combining these conditions: $x \ge -2$,$x Thus,the domain is $[-2, 0) \cup (0, 1)$.

The domain of the function $f(x) = \frac{1}{\log_{10}(1 - x)} + \sqrt{x + 2}$ is

Similar Questions

The domain of the function $f(x) = \frac{1}{1 + e^x}$ is

The shaded region in the Venn diagram can be represented by which of the following?

In an examination,$40 \%$ students failed in Hindi,$50 \%$ students failed in English. If $21 \%$ students failed in both the subjects,find the percentage of those who passed in Hindi.

Let $A = \{1, 3, 5\}$ and $B = \{x : x \text{ is an odd natural number } < 6\}$. Which of the following is false?

Let $A = \{\phi, \{\phi\}, 1, \{1, \phi\}, 7\}$. Which of the following is false?

Vedclass Test Series

Exam Paper Generator

Online Exam Module