What is the inverse of f(x)=2x^2+16x+29 ?

The inverse of f(x)=2x^2+16x+29 is (-16+sqrt(8x+24))/4 ,(-16-sqrt(8x+24))/4

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inverse of f(x)=2x^2+16x+29

inverse

\frac{- 16 + 8 x + 24}{4}, \frac{- 16 - 8 x + 24}{4}

Solution steps

y = 2 x^{2} + 16 x + 29

Replace

x

with

y

x = 2 y^{2} + 16 y + 29

Solve for

y, x = 2 y^{2} + 16 y + 29

\frac{- 16 + 8 x + 24}{4}, \frac{- 16 - 8 x + 24}{4}

What is the inverse of f(x)=2x^2+16x+29 ?
The inverse of f(x)=2x^2+16x+29 is (-16+sqrt(8x+24))/4 ,(-16-sqrt(8x+24))/4