What is the inverse of f(x)=x^2-5x-6 ?

The inverse of f(x)=x^2-5x-6 is (5+sqrt(4x+49))/2 ,(5-sqrt(4x+49))/2

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inverse of f(x)=x^2-5x-6

inverse

f (x) = x^{2} - 5 x - 6

\frac{5 + 4 x + 49}{2}, \frac{5 - 4 x + 49}{2}

Solution steps

y = x^{2} - 5 x - 6

Replace

x

with

y

x = y^{2} - 5 y - 6

Solve for

y, x = y^{2} - 5 y - 6

\frac{5 + 4 x + 49}{2}, \frac{5 - 4 x + 49}{2}

What is the inverse of f(x)=x^2-5x-6 ?
The inverse of f(x)=x^2-5x-6 is (5+sqrt(4x+49))/2 ,(5-sqrt(4x+49))/2