What is the inverse of f(x)=2x^2+12x-14 ?

The inverse of f(x)=2x^2+12x-14 is (-12+sqrt(8x+256))/4 ,(-12-sqrt(8x+256))/4

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inverse of f(x)=2x^2+12x-14

inverse

f (x) = 2 x^{2} + 12 x - 14

\frac{- 12 + 8 x + 256}{4}, \frac{- 12 - 8 x + 256}{4}

Solution steps

y = 2 x^{2} + 12 x - 14

Replace

x

with

y

x = 2 y^{2} + 12 y - 14

Solve for

y, x = 2 y^{2} + 12 y - 14

\frac{- 12 + 8 x + 256}{4}, \frac{- 12 - 8 x + 256}{4}

What is the inverse of f(x)=2x^2+12x-14 ?
The inverse of f(x)=2x^2+12x-14 is (-12+sqrt(8x+256))/4 ,(-12-sqrt(8x+256))/4