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