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

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

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

inverse

f (x) = x (x + 4)

- 2 + x + 4, - x + 4 - 2

Solution steps

y = x (x + 4)

Replace

x

with

y

x = y (y + 4)

Solve for

y, x = y (y + 4)

- 2 + x + 4, - x + 4 - 2

f (x) = 1 - x^{2}

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

f (x) = t^{4} - 12 t^{3} + 16 t^{2}

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

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