What is the inverse of f(x)=(x-3)^2+2 ?

The inverse of f(x)=(x-3)^2+2 is sqrt(x-2)+3,-sqrt(x-2)+3

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inverse of f(x)=(x-3)^2+2

inverse

f (x) = (x - 3)^{2} + 2

x - 2 + 3, - x - 2 + 3

Solution steps

y = (x - 3)^{2} + 2

Replace

x

with

y

x = (y - 3)^{2} + 2

Solve for

y, x = (y - 3)^{2} + 2

x - 2 + 3, - x - 2 + 3

(2, - 4), (8, 4)

f (x) = a^{x}

f (x) = \frac{4 x}{x + 5}

3 x^{4} - π x^{3} + 11 x - 4

lo g_{\frac{1}{2}} (x)

What is the inverse of f(x)=(x-3)^2+2 ?
The inverse of f(x)=(x-3)^2+2 is sqrt(x-2)+3,-sqrt(x-2)+3