What is the inverse of f(x)=x^2-4x+9 ?

The inverse of f(x)=x^2-4x+9 is 2+sqrt(x-5),2-sqrt(x-5)

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inverse of f(x)=x^2-4x+9

inverse

f (x) = x^{2} - 4 x + 9

2 + x - 5, 2 - x - 5

Solution steps

y = x^{2} - 4 x + 9

Replace

x

with

y

x = y^{2} - 4 y + 9

Solve for

y, x = y^{2} - 4 y + 9

2 + x - 5, 2 - x - 5

f (x) = 7 x + x + 50

f (x) = e^{2 x} + 3

2 x - 6

f (x) = \frac{4 x}{7 - x}

What is the inverse of f(x)=x^2-4x+9 ?
The inverse of f(x)=x^2-4x+9 is 2+sqrt(x-5),2-sqrt(x-5)