Answer
Yes.
Work Step by Step
We are given:
$3x-\sqrt{y}=8$
We solve for $y$:
$\sqrt{y}=3x-8$
$ y=(3x-8)^{2}$
This is essentially a transformed parabola. Thus the equation does define $y$ as a function of $x$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.