What is the inverse of f(x)=-2x^2+8x-11 ?

The inverse of f(x)=-2x^2+8x-11 is -(-8+sqrt(-8x-24))/4 ,-(-8-sqrt(-8x-24))/4

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inverse of f(x)=-2x^2+8x-11

inverse

f (x) = - 2 x^{2} + 8 x - 11

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

Solution steps

y = - 2 x^{2} + 8 x - 11

Replace

x

with

y

x = - 2 y^{2} + 8 y - 11

Solve for

y, x = - 2 y^{2} + 8 y - 11

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

f (x) = \frac{7}{x} + 1

f (x) = \frac{4 x - 9}{5}

f (x) = 3 x^{2} + 12 x - 7

f (x) = 8 x^{(2)} - 18

What is the inverse of f(x)=-2x^2+8x-11 ?
The inverse of f(x)=-2x^2+8x-11 is -(-8+sqrt(-8x-24))/4 ,-(-8-sqrt(-8x-24))/4