What is the inverse of y=2x^2+8x-6 ?

The inverse of y=2x^2+8x-6 is (-8+sqrt(8x+112))/4 ,(-8-sqrt(8x+112))/4

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inverse of y=2x^2+8x-6

inverse

y = 2 x^{2} + 8 x - 6

\frac{- 8 + 8 x + 112}{4}, \frac{- 8 - 8 x + 112}{4}

Solution steps

y = 2 x^{2} + 8 x - 6

Replace

x

with

y

x = 2 y^{2} + 8 y - 6

Solve for

y, x = 2 y^{2} + 8 y - 6

\frac{- 8 + 8 x + 112}{4}, \frac{- 8 - 8 x + 112}{4}

f (x) = x^{3} - x

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

f (x) = - x^{3} - 2 x^{2} - 4 x - 3

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

f (x) = \frac{4 x - 1}{2 x + 9}

What is the inverse of y=2x^2+8x-6 ?
The inverse of y=2x^2+8x-6 is (-8+sqrt(8x+112))/4 ,(-8-sqrt(8x+112))/4