What is the inverse of x^{(2)}-5x-7 ?

The inverse of x^{(2)}-5x-7 is (5+sqrt(4x+53))/2 ,(5-sqrt(4x+53))/2

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inverse of x^{(2)}-5x-7

inverse

x^{(2)} - 5 x - 7

\frac{5 + 4 x + 53}{2}, \frac{5 - 4 x + 53}{2}

Solution steps

y = x^{2} - 5 x - 7

Replace

x

with

y

x = y^{2} - 5 y - 7

Solve for

y, x = y^{2} - 5 y - 7

\frac{5 + 4 x + 53}{2}, \frac{5 - 4 x + 53}{2}

What is the inverse of x^{(2)}-5x-7 ?
The inverse of x^{(2)}-5x-7 is (5+sqrt(4x+53))/2 ,(5-sqrt(4x+53))/2