Question

Specify the domain for he function !!! A-B-C-D 10 points. MATH 3

Answer 1

`( - \infty , - (4)/(3) ) \cup( (1)/(2) , \infty )`

Step-by-step explanation

The given function is

`f(x) = \sqrt{ (2x - 1)/(3x + 4) }`

The domain refers to all values of x for which f(x) is defined.

This function is defined if

`(2x - 1)/(3x + 4) > 0`

This implies that

`x \: < \: - (4)/(3) \: or \: x \: > \: (1)/(2)`

Or

`( - \infty , - (4)/(3) ) \cup( (1)/(2) , \infty )`