1 Answer

Edwin Wong · Answer 1 · 2020-05-12T20:19:34+0000

ANSWER

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

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

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

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