Mark (√) against the correct answer in the following:

Question:

Mark (√) against the correct answer in the following:

Let $f(x) \sqrt{\frac{x-1}{x+4}}$. Then, dom (f) - ?

A. $[1,4)$

B. $[1,4]$

C. $(-\infty, 4]$

D. $(-\infty, 1] \cup(4, \infty)$

 

Solution:

$f(x)=\sqrt{\frac{x-1}{x-4}}$

$\sqrt{\frac{x-1}{x-4}} \geq 0$

$\Rightarrow x-1 \geq 0$

$\Rightarrow x \geq 1$

And $x \neq 4$

$x>4$ and $x \leq 1$

$\Rightarrow \operatorname{dom}(f)=(-\infty, 1] \cup(4, \infty)$

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now