What is the inverse of f(x)=x^2-21x-4 ?

The inverse of f(x)=x^2-21x-4 is (21+sqrt(4x+457))/2 ,(21-sqrt(4x+457))/2

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inverse of f(x)=x^2-21x-4

inverse

f (x) = x^{2} - 21 x - 4

\frac{21 + 4 x + 457}{2}, \frac{21 - 4 x + 457}{2}

Solution steps

y = x^{2} - 21 x - 4

Replace

x

with

y

x = y^{2} - 21 y - 4

Solve for

y, x = y^{2} - 21 y - 4

\frac{21 + 4 x + 457}{2}, \frac{21 - 4 x + 457}{2}

What is the inverse of f(x)=x^2-21x-4 ?
The inverse of f(x)=x^2-21x-4 is (21+sqrt(4x+457))/2 ,(21-sqrt(4x+457))/2