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

The inverse of f(x)=x^2+6x is -3+sqrt(x+9),-sqrt(x+9)-3

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

inverse

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

- 3 + x + 9, - x + 9 - 3

Solution steps

y = x^{2} + 6 x

Replace

x

with

y

x = y^{2} + 6 y

Solve for

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

- 3 + x + 9, - x + 9 - 3

\frac{x}{x ^{2} + 2}

3 x^{2}

f (x) = 3^{x} + 5

(- 2, - 2), (- 4, 3)

y = - 2 x^{3}

What is the inverse of f(x)=x^2+6x ?
The inverse of f(x)=x^2+6x is -3+sqrt(x+9),-sqrt(x+9)-3