Respuesta :

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 ,

[tex]:\implies[/tex] [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 :-

[tex]:\implies[/tex] x > 0

In interval notation :-

[tex]:\implies\bf x \in ( 0 , \infty) [/tex]

Therefore x should be Greater than 0 .

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