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

a sy m pt o t es y = 2 \cdot 3^{x} - 3

in v erse y = 3 x - 2

d o main f (x) = x^{3} - 9 x

s l o p e in t erce pt 2 y - 2 x = 8

a sy m pt o t es \frac{4 x ^{2} + 11 x - 3}{3 x ^{2} - x - 10}

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)