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

The inverse of f(x)=2pix^2+8pix is (-8pi+sqrt(64pi^2+8pix))/(4pi),(-8pi-sqrt(64pi^2+8pix))/(4pi)

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inverse of f(x)=2pix^2+8pix

inverse

f (x) = 2 π x^{2} + 8 π x

\frac{- 8 π + 64 π ^{2} + 8 π x}{4 π}, \frac{- 8 π - 64 π ^{2} + 8 π x}{4 π}

Solution steps

y = 2 π x^{2} + 8 π x

Replace

x

with

y

x = 2 π y^{2} + 8 π y

Solve for

y, x = 2 π y^{2} + 8 π y

\frac{- 8 π + 64 π ^{2} + 8 π x}{4 π}, \frac{- 8 π - 64 π ^{2} + 8 π x}{4 π}

f (x) = (x - 5)^{2} - 4

f (x) = \frac{1}{3} (x - 4)^{2} + 2

f (x) = - 15 x^{2} + 350 x - 2000

f (x) = - 5 x + 4 + 3

2 π r^{2} + 12 π r

What is the inverse of f(x)=2pix^2+8pix ?
The inverse of f(x)=2pix^2+8pix is (-8pi+sqrt(64pi^2+8pix))/(4pi),(-8pi-sqrt(64pi^2+8pix))/(4pi)