SATHEE: Functions 1 Question 9

Functions 1 Question 9

9.

The domain of definition of the function

$y = \frac{1}{\log_{10} (1 - x)} + \sqrt{x + 2}$ is

(1983, 1M)

(a) $(- 3, - 2)$ excluding -2.5

(b) $[0, 1]$ excluding 0.5

(d) None of these

Show Answer

Answer:

Correct Answer: 9. (c)

Solution:

For domain of $y$ ,

$1 - x > 0, 1 - x \neq 1 and x + 2 > 0$

$\Rightarrow x < 1, x \neq 0 and x > - 2$

$\Rightarrow - 2 < x < 1 excluding 0$

$\Rightarrow x \in (- 2, 1) - 0$

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Functions 1 Question 9

9.

Answer:

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