What is the inverse of f(x)=x^2-10x+8 ?

The inverse of f(x)=x^2-10x+8 is 5+sqrt(x+17),5-sqrt(x+17)

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inverse of f(x)=x^2-10x+8

inverse

f (x) = x^{2} - 10 x + 8

5 + x + 17, 5 - x + 17

Solution steps

y = x^{2} - 10 x + 8

Replace

x

with

y

x = y^{2} - 10 y + 8

Solve for

y, x = y^{2} - 10 y + 8

5 + x + 17, 5 - x + 17

f (x) = 20 - x

f (x) = \frac{x}{2 x}

y = \frac{1}{2} x - 4, (9, - 6)

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

4 y - 16 x = 8

What is the inverse of f(x)=x^2-10x+8 ?
The inverse of f(x)=x^2-10x+8 is 5+sqrt(x+17),5-sqrt(x+17)