Give the domain and range of the relation.
-$$y = \sqrt { 6 x - 4 }$$
A) domain: $\left[ \frac { 2 } { 3 } , \infty \right)$; range: $( \infty , \infty )$
B) domain: $\left( \frac { 2 } { 3 } , \infty \right)$; range: $[ 0 , \infty )$
C) domain: $\left[ \frac { 2 } { 3 } , \infty \right) ;$ range: $[ 0 , \infty )$
D) domain: $( \infty , \infty )$; range: $\left[ \frac { 2 } { 3 } , \infty \right]$

Question

Quizplus · Accepted Answer

The square root function $\sqrt{6x - 4}$ is defined for $6x - 4 \geq 0$, which gives $x \geq \frac{2}{3}$, hence the domain is $\left[\frac{2}{3}, \infty\right)$. The range of a square root function is always $[0, \infty)$ since square roots produce non-negative results.

Give the Domain and Range of the Relation y=6x−4y = \sqrt { 6 x - 4 }y=6x−4​

Give the Domain and Range of the Relation $y = \sqrt { 6 x - 4 }$