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

The inverse of f(x)=x^2+5x+6 is (-5+sqrt(4x+1))/2 ,(-5-sqrt(4x+1))/2

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

inverse

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

\frac{- 5 + 4 x + 1}{2}, \frac{- 5 - 4 x + 1}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 5 + 4 x + 1}{2}, \frac{- 5 - 4 x + 1}{2}

\frac{2 x + 9}{7 x}

f (x) = - \frac{2}{3} (2)^{4 - 3 x} + 5

\frac{2 x + 1}{5 x - 8}

f (x) = \frac{x ^{3}}{8} + 16

x^{2} - 4

What is the inverse of f(x)=x^2+5x+6 ?
The inverse of f(x)=x^2+5x+6 is (-5+sqrt(4x+1))/2 ,(-5-sqrt(4x+1))/2