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

`(x+4)/(9) = y^(2)` take the square root of both sides

`( √(x+4) )/(3) =y`