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

The inverse of f(x)=x^2-x-6 is (1+sqrt(4x+25))/2 ,(1-sqrt(4x+25))/2

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

inverse

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

\frac{1 + 4 x + 25}{2}, \frac{1 - 4 x + 25}{2}

Solution steps

y = x^{2} - x - 6

Replace

x

with

y

x = y^{2} - y - 6

Solve for

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

\frac{1 + 4 x + 25}{2}, \frac{1 - 4 x + 25}{2}

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

\frac{x}{x ^{2} - 1}

f (x) = x^{2} + 2

f (x) = \frac{1}{x ^{2} - x}

y = - 2 x + 1

What is the inverse of f(x)=x^2-x-6 ?
The inverse of f(x)=x^2-x-6 is (1+sqrt(4x+25))/2 ,(1-sqrt(4x+25))/2