What is the inverse of 2x^2+24x-3 ?

The inverse of 2x^2+24x-3 is (-24+sqrt(8x+600))/4 ,(-24-sqrt(8x+600))/4

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inverse of 2x^2+24x-3

inverse

2 x^{2} + 24 x - 3

\frac{- 24 + 8 x + 600}{4}, \frac{- 24 - 8 x + 600}{4}

Solution steps

y = 2 x^{2} + 24 x - 3

Replace

x

with

y

x = 2 y^{2} + 24 y - 3

Solve for

y, x = 2 y^{2} + 24 y - 3

\frac{- 24 + 8 x + 600}{4}, \frac{- 24 - 8 x + 600}{4}

- x + 5 - 8

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

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

f (x) = - 5 (x) + 2

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

What is the inverse of 2x^2+24x-3 ?
The inverse of 2x^2+24x-3 is (-24+sqrt(8x+600))/4 ,(-24-sqrt(8x+600))/4