Question

Which equation is the universe of y=9x^2-4

Answer 1

`y = (√(x+4) )/(3), \ y = -(√(x+4) )/(3)`

Explanation:

To find inverse we replace and y first.

`y = 9x^2 - 4 \ becomes \ x = 9y^2 -4`

`Then \ solve \ for \ y\\\\9y^2 = x+ 4\\\\y^2 = (x+4)/(9)\\\\y = \pm \sqrt{(x+4)/(9)} \\\\y = \pm {(√(x+4))/(3)`

Answer 2

Explanation:

keep in mind that, to get the inverse expression of any relation, we start off by doing a quick switcheroo on the variables, and then solve for "y", so let's do so,