What is the inverse of f(x)=x^2-6x+5 ?

The inverse of f(x)=x^2-6x+5 is 3+sqrt(x+4),3-sqrt(x+4)

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inverse of f(x)=x^2-6x+5

inverse

f (x) = x^{2} - 6 x + 5

3 + x + 4, 3 - x + 4

Solution steps

y = x^{2} - 6 x + 5

Replace

x

with

y

x = y^{2} - 6 y + 5

Solve for

y, x = y^{2} - 6 y + 5

3 + x + 4, 3 - x + 4

f (x) = 12 x^{3} - 35

- 3 x^{4} - 14 x^{3} - 16 x^{2} - 2 x + 3

y - 4 = - \frac{1}{10} (x - 10)

g (x) = 13 x - 13

f (x) = 2 x - 1

What is the inverse of f(x)=x^2-6x+5 ?
The inverse of f(x)=x^2-6x+5 is 3+sqrt(x+4),3-sqrt(x+4)