What is the inverse of 2x^2+2x-15 ?

The inverse of 2x^2+2x-15 is (-1+sqrt(2x+31))/2 ,-(sqrt(2x+31)+1)/2

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inverse of 2x^2+2x-15

inverse

2 x^{2} + 2 x - 15

\frac{- 1 + 2 x + 31}{2}, - \frac{2 x + 31 + 1}{2}

Solution steps

y = 2 x^{2} + 2 x - 15

Replace

x

with

y

x = 2 y^{2} + 2 y - 15

Solve for

y, x = 2 y^{2} + 2 y - 15

\frac{- 1 + 2 x + 31}{2}, - \frac{2 x + 31 + 1}{2}

y = - 7 ln (x)

55 (1.5)

4 x^{2} + 27

\frac{b + 2}{b - 1}

y = \frac{1 - 3 x}{2 + x}

What is the inverse of 2x^2+2x-15 ?
The inverse of 2x^2+2x-15 is (-1+sqrt(2x+31))/2 ,-(sqrt(2x+31)+1)/2