What is the inverse of f(x)=(x-1)^2-6 ?

The inverse of f(x)=(x-1)^2-6 is sqrt(x+6)+1,-sqrt(x+6)+1

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inverse of f(x)=(x-1)^2-6

inverse

f (x) = (x - 1)^{2} - 6

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

Solution steps

y = (x - 1)^{2} - 6

Replace

x

with

y

x = (y - 1)^{2} - 6

Solve for

y, x = (y - 1)^{2} - 6

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

f (x) = \frac{6 x}{x + 5}

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

y = - 3

\frac{- 4}{2 x - 1}

X + 3

What is the inverse of f(x)=(x-1)^2-6 ?
The inverse of f(x)=(x-1)^2-6 is sqrt(x+6)+1,-sqrt(x+6)+1