What is the inverse of f(x)=4x+9x^2 ?

The inverse of f(x)=4x+9x^2 is (-2+sqrt(9x+4))/9 ,-(sqrt(9x+4)+2)/9

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inverse of f(x)=4x+9x^2

inverse

f (x) = 4 x + 9 x^{2}

\frac{- 2 + 9 x + 4}{9}, - \frac{9 x + 4 + 2}{9}

Solution steps

y = 4 x + 9 x^{2}

Replace

x

with

y

x = 4 y + 9 y^{2}

Solve for

y, x = 4 y + 9 y^{2}

\frac{- 2 + 9 x + 4}{9}, - \frac{9 x + 4 + 2}{9}

What is the inverse of f(x)=4x+9x^2 ?
The inverse of f(x)=4x+9x^2 is (-2+sqrt(9x+4))/9 ,-(sqrt(9x+4)+2)/9