What is the inverse of f(x)=x^2-6x+10 ?

The inverse of f(x)=x^2-6x+10 is 3+sqrt(x-1),3-sqrt(x-1)

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inverse of f(x)=x^2-6x+10

inverse

f (x) = x^{2} - 6 x + 10

3 + x - 1, 3 - x - 1

Solution steps

y = x^{2} - 6 x + 10

Replace

x

with

y

x = y^{2} - 6 y + 10

Solve for

y, x = y^{2} - 6 y + 10

3 + x - 1, 3 - x - 1

π - 3 arctan (\frac{x - 1}{2 x + 5})

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

f (x) = \frac{x - 5}{x ^{2} - 11 x + 30}

5 x^{2} + 10 x

2^{x} - 5

What is the inverse of f(x)=x^2-6x+10 ?
The inverse of f(x)=x^2-6x+10 is 3+sqrt(x-1),3-sqrt(x-1)