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

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

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

inverse

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

x - 4 + 2, - x - 4 + 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

x - 4 + 2, - x - 4 + 2

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

f (x) = \frac{x ^{3}}{3} - 81 x

(2, 4), (- 3, - 9)

f (x) = sin (2 x)

\frac{2 x - 5}{7 x + 4}

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