What is the inverse of f(x)=2x^2+5x-3 ?

The inverse of f(x)=2x^2+5x-3 is (-5+sqrt(8x+49))/4 ,(-5-sqrt(8x+49))/4

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inverse of f(x)=2x^2+5x-3

inverse

f (x) = 2 x^{2} + 5 x - 3

\frac{- 5 + 8 x + 49}{4}, \frac{- 5 - 8 x + 49}{4}

Solution steps

y = 2 x^{2} + 5 x - 3

Replace

x

with

y

x = 2 y^{2} + 5 y - 3

Solve for

y, x = 2 y^{2} + 5 y - 3

\frac{- 5 + 8 x + 49}{4}, \frac{- 5 - 8 x + 49}{4}

g (x) = \frac{x - 3}{( 5 x - 8 )}

\frac{3 s}{s ^{2} - s - 6}

8 - 2 x

6 x^{3} + 2

6 x^{3} - 3

What is the inverse of f(x)=2x^2+5x-3 ?
The inverse of f(x)=2x^2+5x-3 is (-5+sqrt(8x+49))/4 ,(-5-sqrt(8x+49))/4