What is the inverse of f(x)=x^2-6x+13 ?

The inverse of f(x)=x^2-6x+13 is 3+sqrt(x-4),3-sqrt(x-4)

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inverse of f(x)=x^2-6x+13

inverse

f (x) = x^{2} - 6 x + 13

3 + x - 4, 3 - x - 4

Solution steps

y = x^{2} - 6 x + 13

Replace

x

with

y

x = y^{2} - 6 y + 13

Solve for

y, x = y^{2} - 6 y + 13

3 + x - 4, 3 - x - 4

(- 6, 11), (6, - 3)

y = 2 \cdot 3^{x} - 3

y = 3 x - 2

f (x) = x^{3} - 9 x

f (x) = x - 3 - x + 3

What is the inverse of f(x)=x^2-6x+13 ?
The inverse of f(x)=x^2-6x+13 is 3+sqrt(x-4),3-sqrt(x-4)