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

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

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

inverse

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

- 2 + x, - x - 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

- 2 + x, - x - 2

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

f (x) = 23 (x - 11)

y = x^{2} - 2 x - 3

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

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

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