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),-sqrt(x+6)-1

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

inverse

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

- 1 + x + 6, - x + 6 - 1

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, - x + 6 - 1

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

(- 6, - 5), (- 10, - 9)

- x + 6

x^{2} + 9

f (x) = 2 x 3 x - 1

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),-sqrt(x+6)-1