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

The inverse of f(x)=x^2+4x-6 is -2+sqrt(x+10),-sqrt(x+10)-2

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inverse of f(x)=x^2+4x-6

inverse

f (x) = x^{2} + 4 x - 6

- 2 + x + 10, - x + 10 - 2

Solution steps

y = x^{2} + 4 x - 6

Replace

x

with

y

x = y^{2} + 4 y - 6

Solve for

y, x = y^{2} + 4 y - 6

- 2 + x + 10, - x + 10 - 2

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

f (x) = (3 x - 1)^{5}

f (x) = \frac{2 x + 3}{x - 1} = 5

f (x) = 12 - 2 x^{3}

What is the inverse of f(x)=x^2+4x-6 ?
The inverse of f(x)=x^2+4x-6 is -2+sqrt(x+10),-sqrt(x+10)-2