What is the inverse of f(y)=x^2-20x+100 ?

The inverse of f(y)=x^2-20x+100 is 10+sqrt(x),10-sqrt(x)

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inverse of f(y)=x^2-20x+100

inverse

f (y) = x^{2} - 20 x + 100

10 + x, 10 - x

Solution steps

y = x^{2} - 20 x + 100

Replace

x

with

y

x = y^{2} - 20 y + 100

Solve for

y, x = y^{2} - 20 y + 100

10 + x, 10 - x

f (x) = \frac{( x + 10 )}{3 x}

f (x) = (x + 1) (x - 5)

5 5 x + 5

f (x) = e^{x - 1}, x \geq 0

f (x) = \frac{x - 13}{20}

What is the inverse of f(y)=x^2-20x+100 ?
The inverse of f(y)=x^2-20x+100 is 10+sqrt(x),10-sqrt(x)