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

The inverse of f(x)=x^2+6x+2 is -3+sqrt(x+7),-sqrt(x+7)-3

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

inverse

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

- 3 + x + 7, - x + 7 - 3

Solution steps

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

Replace

x

with

y

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

Solve for

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

- 3 + x + 7, - x + 7 - 3

(1, 4), (- 2, - 8)

f (x) = - \frac{1}{3} x - 3

(x - 9) (x - 3)^{2}

x + 2 y = 16

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

What is the inverse of f(x)=x^2+6x+2 ?
The inverse of f(x)=x^2+6x+2 is -3+sqrt(x+7),-sqrt(x+7)-3