What is the inverse of f(x)=x^2-4x-2 ?

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

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inverse of f(x)=x^2-4x-2

inverse

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

2 + x + 6, 2 - x + 6

Solution steps

y = x^{2} - 4 x - 2

Replace

x

with

y

x = y^{2} - 4 y - 2

Solve for

y, x = y^{2} - 4 y - 2

2 + x + 6, 2 - x + 6

y = ln (x + 2)

y = \frac{x + 5}{x - 2}

f (x) = \frac{( 1 + 9 x )}{4 - 4 x}

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

f (x) = \frac{4 ^{x}}{1 + 4 ^{x}}

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