What is the inverse of f(x)=2x^2+4x-5 ?

The inverse of f(x)=2x^2+4x-5 is (-4+sqrt(8x+56))/4 ,(-4-sqrt(8x+56))/4

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inverse of f(x)=2x^2+4x-5

inverse

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

\frac{- 4 + 8 x + 56}{4}, \frac{- 4 - 8 x + 56}{4}

Solution steps

y = 2 x^{2} + 4 x - 5

Replace

x

with

y

x = 2 y^{2} + 4 y - 5

Solve for

y, x = 2 y^{2} + 4 y - 5

\frac{- 4 + 8 x + 56}{4}, \frac{- 4 - 8 x + 56}{4}

What is the inverse of f(x)=2x^2+4x-5 ?
The inverse of f(x)=2x^2+4x-5 is (-4+sqrt(8x+56))/4 ,(-4-sqrt(8x+56))/4