What is the inverse of f(x)=x^2-4x+10 ?

The inverse of f(x)=x^2-4x+10 is 2+sqrt(x-6),2-sqrt(x-6)

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inverse of f(x)=x^2-4x+10

inverse

f (x) = x^{2} - 4 x + 10

2 + x - 6, 2 - x - 6

Solution steps

y = x^{2} - 4 x + 10

Replace

x

with

y

x = y^{2} - 4 y + 10

Solve for

y, x = y^{2} - 4 y + 10

2 + x - 6, 2 - x - 6

f (x) = \frac{x ^{2} - 81}{x - 9}

f (x) = tan (x \cdot 2) - x

f (x) = 4 + \frac{1}{3} x - \frac{1}{2} x^{2}

f (x) = x + 2

\frac{x ^{2} - 16}{x - 4}

What is the inverse of f(x)=x^2-4x+10 ?
The inverse of f(x)=x^2-4x+10 is 2+sqrt(x-6),2-sqrt(x-6)