What is the inverse of f(x)=-2x^2+3x-1 ?

The inverse of f(x)=-2x^2+3x-1 is -(-3+sqrt(-8x+1))/4 ,-(-3-sqrt(-8x+1))/4

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inverse of f(x)=-2x^2+3x-1

inverse

f (x) = - 2 x^{2} + 3 x - 1

- \frac{- 3 + - 8 x + 1}{4}, - \frac{- 3 - - 8 x + 1}{4}

Solution steps

y = - 2 x^{2} + 3 x - 1

Replace

x

with

y

x = - 2 y^{2} + 3 y - 1

Solve for

y, x = - 2 y^{2} + 3 y - 1

- \frac{- 3 + - 8 x + 1}{4}, - \frac{- 3 - - 8 x + 1}{4}

f (x) = 2^{2^{x}}

\frac{3 x + 5}{2 x - 3}

\frac{10}{s + 2}

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

\frac{3}{4} x + 12

What is the inverse of f(x)=-2x^2+3x-1 ?
The inverse of f(x)=-2x^2+3x-1 is -(-3+sqrt(-8x+1))/4 ,-(-3-sqrt(-8x+1))/4