What is the inverse of f(x)=-2x^2-3x+4 ?

The inverse of f(x)=-2x^2-3x+4 is -(3+sqrt(-8x+41))/4 ,-(3-sqrt(-8x+41))/4

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inverse of f(x)=-2x^2-3x+4

inverse

f (x) = - 2 x^{2} - 3 x + 4

- \frac{3 + - 8 x + 41}{4}, - \frac{3 - - 8 x + 41}{4}

Solution steps

y = - 2 x^{2} - 3 x + 4

Replace

x

with

y

x = - 2 y^{2} - 3 y + 4

Solve for

y, x = - 2 y^{2} - 3 y + 4

- \frac{3 + - 8 x + 41}{4}, - \frac{3 - - 8 x + 41}{4}

F (x) = \frac{2 + 3 x}{4 x - 5}

\frac{( 2 x - 3 )}{( x - 2 )}

\frac{2}{( 3 x ^{4} )}

f (x) = 7 x^{2} + 60 x + 32

What is the inverse of f(x)=-2x^2-3x+4 ?
The inverse of f(x)=-2x^2-3x+4 is -(3+sqrt(-8x+41))/4 ,-(3-sqrt(-8x+41))/4