What is the inverse of f(x)=-2x^2+5x-6 ?

The inverse of f(x)=-2x^2+5x-6 is -(-5+sqrt(-8x-23))/4 ,-(-5-sqrt(-8x-23))/4

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inverse of f(x)=-2x^2+5x-6

inverse

f (x) = - 2 x^{2} + 5 x - 6

- \frac{- 5 + - 8 x - 23}{4}, - \frac{- 5 - - 8 x - 23}{4}

Solution steps

y = - 2 x^{2} + 5 x - 6

Replace

x

with

y

x = - 2 y^{2} + 5 y - 6

Solve for

y, x = - 2 y^{2} + 5 y - 6

- \frac{- 5 + - 8 x - 23}{4}, - \frac{- 5 - - 8 x - 23}{4}

(6, 4), (4, \frac{5}{3})

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

(2, - 4), (8, 4)

f (x) = a^{x}

f (x) = \frac{4 x}{x + 5}

What is the inverse of f(x)=-2x^2+5x-6 ?
The inverse of f(x)=-2x^2+5x-6 is -(-5+sqrt(-8x-23))/4 ,-(-5-sqrt(-8x-23))/4