The equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]
Given the expression y = 9x^2 -4
Replace y with x to have
x = 9y^2 -4
Make y the subject of the formula to get the inverse function
9y^2 = x+ 4
[tex]y^2 = \frac{x+4}{9} \\y =\sqrt{\frac{x+4}{9} }[/tex]
Hence the equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]
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