What is the inverse of f(x)=x^2-12x ?

The inverse of f(x)=x^2-12x is 6+sqrt(x+36),6-sqrt(x+36)

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inverse of f(x)=x^2-12x

inverse

f (x) = x^{2} - 12 x

6 + x + 36, 6 - x + 36

Solution steps

y = x^{2} - 12 x

Replace

x

with

y

x = y^{2} - 12 y

Solve for

y, x = y^{2} - 12 y

6 + x + 36, 6 - x + 36

(0, 3), (4, - 3)

f (x) = 20 x^{3} + 60 x^{2} - 80

- 2 x^{2} - 24 x - 54

f (x) = 4 x^{2}

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

What is the inverse of f(x)=x^2-12x ?
The inverse of f(x)=x^2-12x is 6+sqrt(x+36),6-sqrt(x+36)