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

8 x + 6 y = - 6

y = x - 5 - x + 5

- \frac{2}{( x - 3 ) ^{2}}

f (x) = 5^{3 x + 1}

5 - 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