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

The inverse of f(x)=x^2-2x-5 is 1+sqrt(x+6),1-sqrt(x+6)

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

inverse

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

1 + x + 6, 1 - x + 6

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 + x + 6, 1 - x + 6

f (x) = 2^{2}

f (x) = x (x - 7)

f (x) = 200 + x

f (x) = \frac{x ^{4} + 2}{3}

f (x) = sinh^{2} (\frac{x}{x ^{4}})

What is the inverse of f(x)=x^2-2x-5 ?
The inverse of f(x)=x^2-2x-5 is 1+sqrt(x+6),1-sqrt(x+6)