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

The inverse of f(x)=x^2-10x+6 is 5+sqrt(x+19),5-sqrt(x+19)

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

inverse

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

5 + x + 19, 5 - x + 19

Solution steps

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

Replace

x

with

y

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

Solve for

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

5 + x + 19, 5 - x + 19

f (x) = \frac{x}{x ^{2} + 49}

x^{2} + x - 12

7 + 5 x

(4, - 4), (- 3, - 5)

(1) (4)

What is the inverse of f(x)=x^2-10x+6 ?
The inverse of f(x)=x^2-10x+6 is 5+sqrt(x+19),5-sqrt(x+19)