What is the inverse of f(x)=4x^2+12x+9 ?

The inverse of f(x)=4x^2+12x+9 is (-3+sqrt(x))/2 ,-(sqrt(x)+3)/2

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inverse of f(x)=4x^2+12x+9

inverse

f (x) = 4 x^{2} + 12 x + 9

\frac{- 3 + x}{2}, - \frac{x + 3}{2}

Solution steps

y = 4 x^{2} + 12 x + 9

Replace

x

with

y

x = 4 y^{2} + 12 y + 9

Solve for

y, x = 4 y^{2} + 12 y + 9

\frac{- 3 + x}{2}, - \frac{x + 3}{2}

What is the inverse of f(x)=4x^2+12x+9 ?
The inverse of f(x)=4x^2+12x+9 is (-3+sqrt(x))/2 ,-(sqrt(x)+3)/2