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

The inverse of f(x)=2pix^2+4pix is (-4pi+sqrt(16pi^2+8pix))/(4pi),(-4pi-sqrt(16pi^2+8pix))/(4pi)

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

inverse

f (x) = 2 π x^{2} + 4 π x

\frac{- 4 π + 16 π ^{2} + 8 π x}{4 π}, \frac{- 4 π - 16 π ^{2} + 8 π x}{4 π}

Solution steps

y = 2 π x^{2} + 4 π x

Replace

x

with

y

x = 2 π y^{2} + 4 π y

Solve for

y, x = 2 π y^{2} + 4 π y

\frac{- 4 π + 16 π ^{2} + 8 π x}{4 π}, \frac{- 4 π - 16 π ^{2} + 8 π x}{4 π}

f (x) = \frac{1}{2 x + 11}

\frac{x + 8}{x - 5}

f (x) = x + 1 + x

f (x) = x - 5 + 4

f (x) = 4 (x - 3)^{5} + 21

What is the inverse of f(x)=2pix^2+4pix ?
The inverse of f(x)=2pix^2+4pix is (-4pi+sqrt(16pi^2+8pix))/(4pi),(-4pi-sqrt(16pi^2+8pix))/(4pi)