What is the inverse of f(x)=2x^2+3x+14 ?

The inverse of f(x)=2x^2+3x+14 is (-3+sqrt(8x-103))/4 ,(-3-sqrt(8x-103))/4

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inverse of f(x)=2x^2+3x+14

inverse

f (x) = 2 x^{2} + 3 x + 14

\frac{- 3 + 8 x - 103}{4}, \frac{- 3 - 8 x - 103}{4}

Solution steps

y = 2 x^{2} + 3 x + 14

Replace

x

with

y

x = 2 y^{2} + 3 y + 14

Solve for

y, x = 2 y^{2} + 3 y + 14

\frac{- 3 + 8 x - 103}{4}, \frac{- 3 - 8 x - 103}{4}

f (x) = 2 π r^{2} + 16 π r - A

f (x) = f (x) = x + 1 x - 4

f (x) = \frac{( 7 + x )}{x}

f (x) = 2 x - 21

f (x) = \frac{1 - 2 x}{x + 1}

What is the inverse of f(x)=2x^2+3x+14 ?
The inverse of f(x)=2x^2+3x+14 is (-3+sqrt(8x-103))/4 ,(-3-sqrt(8x-103))/4