What is the inverse of f(x)=2x^2+32x ?

The inverse of f(x)=2x^2+32x is (-32+sqrt(1024+8x))/4 ,(-32-sqrt(1024+8x))/4

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inverse of f(x)=2x^2+32x

inverse

f (x) = 2 x^{2} + 32 x

\frac{- 32 + 1024 + 8 x}{4}, \frac{- 32 - 1024 + 8 x}{4}

Solution steps

y = 2 x^{2} + 32 x

Replace

x

with

y

x = 2 y^{2} + 32 y

Solve for

y, x = 2 y^{2} + 32 y

\frac{- 32 + 1024 + 8 x}{4}, \frac{- 32 - 1024 + 8 x}{4}

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

f (x) = \frac{2}{3 x + 4}

f (x) = \frac{2 x - 6}{5 x - 1}

\frac{x ^{2} - x + 1}{x ^{2} + 1}

What is the inverse of f(x)=2x^2+32x ?
The inverse of f(x)=2x^2+32x is (-32+sqrt(1024+8x))/4 ,(-32-sqrt(1024+8x))/4