What is the inverse of f(x)=9x^2+8x+5 ?

The inverse of f(x)=9x^2+8x+5 is (-4+sqrt(9x-29))/9 ,-(sqrt(9x-29)+4)/9

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inverse of f(x)=9x^2+8x+5

inverse

f (x) = 9 x^{2} + 8 x + 5

\frac{- 4 + 9 x - 29}{9}, - \frac{9 x - 29 + 4}{9}

Solution steps

y = 9 x^{2} + 8 x + 5

Replace

x

with

y

x = 9 y^{2} + 8 y + 5

Solve for

y, x = 9 y^{2} + 8 y + 5

\frac{- 4 + 9 x - 29}{9}, - \frac{9 x - 29 + 4}{9}

What is the inverse of f(x)=9x^2+8x+5 ?
The inverse of f(x)=9x^2+8x+5 is (-4+sqrt(9x-29))/9 ,-(sqrt(9x-29)+4)/9