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

The inverse of f(x)=x^2+2x+6 is -1+sqrt(x-5),-sqrt(x-5)-1

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

inverse

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

- 1 + x - 5, - x - 5 - 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

- 1 + x - 5, - x - 5 - 1

f (x) = \frac{3}{x + 9}

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

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

\frac{x ^{2} - 4}{x + 2}

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

What is the inverse of f(x)=x^2+2x+6 ?
The inverse of f(x)=x^2+2x+6 is -1+sqrt(x-5),-sqrt(x-5)-1