What is the inverse of f(x)=x^2+2x+6,(-4,-1) ?

The inverse of f(x)=x^2+2x+6,(-4,-1) is -1+sqrt(x-5),-sqrt(x-5)-1

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inverse of f(x)=x^2+2x+6,(-4,-1)

inverse

f (x) = x^{2} + 2 x + 6, (- 4, - 1)

- 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

- x^{2} + 9

- x^{2} - 8

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

\frac{5 x - 6}{2 x - 1}

f (x) = - 5 + x + 4

What is the inverse of f(x)=x^2+2x+6,(-4,-1) ?
The inverse of f(x)=x^2+2x+6,(-4,-1) is -1+sqrt(x-5),-sqrt(x-5)-1