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

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

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

inverse

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

x - 6 + 2, - x - 6 + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

x - 6 + 2, - x - 6 + 2

2 \cdot 5^{x} - 8

- 2 x - 3

f (x) = - 2 x + 11 + 12

y = \frac{5}{3 ( x + 2 )} - 8

f (x) = e^{- \frac{x ^{2}}{2}}

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