What is the inverse of f(x)=x^2-2x-7 ?

The inverse of f(x)=x^2-2x-7 is 1+sqrt(x+8),1-sqrt(x+8)

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inverse of f(x)=x^2-2x-7

inverse

f (x) = x^{2} - 2 x - 7

1 + x + 8, 1 - x + 8

Solution steps

y = x^{2} - 2 x - 7

Replace

x

with

y

x = y^{2} - 2 y - 7

Solve for

y, x = y^{2} - 2 y - 7

1 + x + 8, 1 - x + 8

3 lo g_{10} (2 x - 2) + 4

f (x) = 4 x + 10

f (x) = 4 e^{x}

\frac{8}{3 x + 1}

f (x) = \frac{5}{8 x + 1}

What is the inverse of f(x)=x^2-2x-7 ?
The inverse of f(x)=x^2-2x-7 is 1+sqrt(x+8),1-sqrt(x+8)