What is the inverse of f(x)=3x^2+6x+5 ?

The inverse of f(x)=3x^2+6x+5 is (-6+sqrt(12x-24))/6 ,(-6-sqrt(12x-24))/6

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inverse of f(x)=3x^2+6x+5

inverse

f (x) = 3 x^{2} + 6 x + 5

\frac{- 6 + 12 x - 24}{6}, \frac{- 6 - 12 x - 24}{6}

Solution steps

y = 3 x^{2} + 6 x + 5

Replace

x

with

y

x = 3 y^{2} + 6 y + 5

Solve for

y, x = 3 y^{2} + 6 y + 5

\frac{- 6 + 12 x - 24}{6}, \frac{- 6 - 12 x - 24}{6}

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

y = \frac{3}{4} x

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

2^{\frac{1}{x}}

What is the inverse of f(x)=3x^2+6x+5 ?
The inverse of f(x)=3x^2+6x+5 is (-6+sqrt(12x-24))/6 ,(-6-sqrt(12x-24))/6