What is the inverse of f(x)=x^2+2x+7 ?

The inverse of f(x)=x^2+2x+7 is -1+sqrt(x-6),-sqrt(x-6)-1

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inverse of f(x)=x^2+2x+7

inverse

f (x) = x^{2} + 2 x + 7

- 1 + x - 6, - x - 6 - 1

Solution steps

y = x^{2} + 2 x + 7

Replace

x

with

y

x = y^{2} + 2 y + 7

Solve for

y, x = y^{2} + 2 y + 7

- 1 + x - 6, - x - 6 - 1

(13, - 45), (- 8, 39)

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

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

f (x) = \frac{1}{3 x ^{2} + 7}

x^{2} + x + 1

What is the inverse of f(x)=x^2+2x+7 ?
The inverse of f(x)=x^2+2x+7 is -1+sqrt(x-6),-sqrt(x-6)-1