What is the inverse of f(x)=x^2-5x-8 ?

The inverse of f(x)=x^2-5x-8 is (5+sqrt(4x+57))/2 ,(5-sqrt(4x+57))/2

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inverse of f(x)=x^2-5x-8

inverse

f (x) = x^{2} - 5 x - 8

\frac{5 + 4 x + 57}{2}, \frac{5 - 4 x + 57}{2}

Solution steps

y = x^{2} - 5 x - 8

Replace

x

with

y

x = y^{2} - 5 y - 8

Solve for

y, x = y^{2} - 5 y - 8

\frac{5 + 4 x + 57}{2}, \frac{5 - 4 x + 57}{2}

f (x) = 4 x - \frac{3}{4}

f (x) = \frac{y}{2} - 3

f (x) = 2 π x^{2} + 12 π

f (x) = x^{(2)}, x > 0

f (x) = 2 (x - 2)^{2} - 1.5

What is the inverse of f(x)=x^2-5x-8 ?
The inverse of f(x)=x^2-5x-8 is (5+sqrt(4x+57))/2 ,(5-sqrt(4x+57))/2