What is the inverse of f(x)=2x^2+24x+76 ?

The inverse of f(x)=2x^2+24x+76 is (-24+sqrt(8x-32))/4 ,(-24-sqrt(8x-32))/4

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inverse of f(x)=2x^2+24x+76

inverse

\frac{- 24 + 8 x - 32}{4}, \frac{- 24 - 8 x - 32}{4}

Solution steps

y = 2 x^{2} + 24 x + 76

Replace

x

with

y

x = 2 y^{2} + 24 y + 76

Solve for

y, x = 2 y^{2} + 24 y + 76

\frac{- 24 + 8 x - 32}{4}, \frac{- 24 - 8 x - 32}{4}

What is the inverse of f(x)=2x^2+24x+76 ?
The inverse of f(x)=2x^2+24x+76 is (-24+sqrt(8x-32))/4 ,(-24-sqrt(8x-32))/4