Step-by-step explanation:
To get the inverse, swap the x- and y-variables, then solve for y. We should have the equation: [tex]x = 2y^2 - 8[/tex]
Solving for y:
[tex]y = 2x^{2} - 8[/tex] because [tex]y + 8 = 2x^{2}[/tex] or [tex]x =\sqrt\frac{y + 8}{2}[/tex]
So on interchanging the variable, we get the equation:
[tex]x = 2y^2 - 8[/tex]
[tex]x + 8 = 2y^2[/tex]
[tex]y = \sqrt\frac{x + 8}{2}[/tex]
