Step-by-step explanation:
[tex]y = \sqrt{4x + 6} [/tex]
[tex] {y}^{2} = 4x + 6[/tex]
[tex] {y}^{2} - 6 = 4x[/tex]
[tex] \frac{1}{4} ( {y}^{2} - 6) = x[/tex]
Swap x and y
[tex] \frac{ {x}^{2} - 6 }{4} = y[/tex]