What is the inverse of f(x)=2x^2+9x-18 ?

The inverse of f(x)=2x^2+9x-18 is (-9+sqrt(8x+225))/4 ,(-9-sqrt(8x+225))/4

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inverse of f(x)=2x^2+9x-18

inverse

f (x) = 2 x^{2} + 9 x - 18

\frac{- 9 + 8 x + 225}{4}, \frac{- 9 - 8 x + 225}{4}

Solution steps

y = 2 x^{2} + 9 x - 18

Replace

x

with

y

x = 2 y^{2} + 9 y - 18

Solve for

y, x = 2 y^{2} + 9 y - 18

\frac{- 9 + 8 x + 225}{4}, \frac{- 9 - 8 x + 225}{4}

What is the inverse of f(x)=2x^2+9x-18 ?
The inverse of f(x)=2x^2+9x-18 is (-9+sqrt(8x+225))/4 ,(-9-sqrt(8x+225))/4