What is the inverse of f(x)=x^2+5x+12 ?

The inverse of f(x)=x^2+5x+12 is (-5+sqrt(4x-23))/2 ,(-5-sqrt(4x-23))/2

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inverse of f(x)=x^2+5x+12

inverse

f (x) = x^{2} + 5 x + 12

\frac{- 5 + 4 x - 23}{2}, \frac{- 5 - 4 x - 23}{2}

Solution steps

y = x^{2} + 5 x + 12

Replace

x

with

y

x = y^{2} + 5 y + 12

Solve for

y, x = y^{2} + 5 y + 12

\frac{- 5 + 4 x - 23}{2}, \frac{- 5 - 4 x - 23}{2}

y = 2 x + 7

f (x) = (x - 3)^{2} + 9

f (x) = \frac{7 - x}{3}

f (x) = \frac{9}{2 x + 1}

\frac{8}{9 + 4 x}

What is the inverse of f(x)=x^2+5x+12 ?
The inverse of f(x)=x^2+5x+12 is (-5+sqrt(4x-23))/2 ,(-5-sqrt(4x-23))/2