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

The inverse of f(x)=x^2+2x-4 is -1+sqrt(x+5),-sqrt(x+5)-1

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

inverse

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

- 1 + x + 5, - x + 5 - 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

- 1 + x + 5, - x + 5 - 1

f (x) = \frac{7 x}{5 + x}

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

f (x) = 8 x + \frac{7}{x}

f (x) = x^{2} - 64

x + 3 y = 6

What is the inverse of f(x)=x^2+2x-4 ?
The inverse of f(x)=x^2+2x-4 is -1+sqrt(x+5),-sqrt(x+5)-1