What is the inverse of 5x^2+13x-6 ?

The inverse of 5x^2+13x-6 is (-13+sqrt(20x+289))/(10),(-13-sqrt(20x+289))/(10)

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inverse of 5x^2+13x-6

inverse

5 x^{2} + 13 x - 6

\frac{- 13 + 20 x + 289}{10}, \frac{- 13 - 20 x + 289}{10}

Solution steps

y = 5 x^{2} + 13 x - 6

Replace

x

with

y

x = 5 y^{2} + 13 y - 6

Solve for

y, x = 5 y^{2} + 13 y - 6

\frac{- 13 + 20 x + 289}{10}, \frac{- 13 - 20 x + 289}{10}

f (x) = 8 + 6 x - 6

f (5) = \frac{x + 4}{x + 8}

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

f (x) = (8 x^{\frac{1}{2}} - 3)^{7}

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

What is the inverse of 5x^2+13x-6 ?
The inverse of 5x^2+13x-6 is (-13+sqrt(20x+289))/(10),(-13-sqrt(20x+289))/(10)