What is the inverse of f(x)=x^2+2x-1 ?

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

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inverse of f(x)=x^2+2x-1

inverse

f (x) = x^{2} + 2 x - 1

- 1 + x + 2, - x + 2 - 1

Solution steps

y = x^{2} + 2 x - 1

Replace

x

with

y

x = y^{2} + 2 y - 1

Solve for

y, x = y^{2} + 2 y - 1

- 1 + x + 2, - x + 2 - 1

f (x) = \frac{- 4 x - 45}{9 x + 59}

5^{2 x + 1} - 2^{1 - x}

f (x) = 4 + 9 x^{2} - 6 x^{3}

f (x) = ln (x - 5) + 3

f (x) = \frac{1}{4} x - 12

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