Question

For what values of x is the expression below defined?​

Answer 1

Answer:

x > 0

Step-by-step explanation:

Given :-

• √[3x²] ÷ √[4x ]

And we need to find the value of x for which the expression is defined . The expression is ,

$:\implies$ √[3x²] ÷ √[4x]

As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.

Solution :-

$:\implies$ x > 0

In interval notation :-

$:\implies\bf x \in ( 0 , \infty)$

Therefore x should be Greater than 0 .