Question

Qhich equation is the inverse of y=9x^2-4

Answer 1

To find the inverse of this equation, switch the positions of the variables 'x' and 'y' to create an equation for 'x' in terms of 'y'. $x=9 y^{2} -4$

Now we solve this equation for 'y'.
$x=9 y^{2} -4$ add 4 to both sides
$x+4=9 y^{2}$ divide both sides by 9
$\frac{x+4}{9} = y^{2}$ take the square root of both sides
$\frac{ \sqrt{x+4} }{3} =y$