What is the inverse of f(x)=4x^2+6x+2 ?

The inverse of f(x)=4x^2+6x+2 is (-3+sqrt(4x+1))/4 ,-(sqrt(4x+1)+3)/4

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inverse of f(x)=4x^2+6x+2

inverse

f (x) = 4 x^{2} + 6 x + 2

\frac{- 3 + 4 x + 1}{4}, - \frac{4 x + 1 + 3}{4}

Solution steps

y = 4 x^{2} + 6 x + 2

Replace

x

with

y

x = 4 y^{2} + 6 y + 2

Solve for

y, x = 4 y^{2} + 6 y + 2

\frac{- 3 + 4 x + 1}{4}, - \frac{4 x + 1 + 3}{4}

f (x) = \frac{3 x}{4}

f (x) = \frac{5 - x}{3 x - 2}

f (x) = \frac{- 5}{2 x + 2}

f (x) = \frac{5 x}{9 x - 8}

What is the inverse of f(x)=4x^2+6x+2 ?
The inverse of f(x)=4x^2+6x+2 is (-3+sqrt(4x+1))/4 ,-(sqrt(4x+1)+3)/4