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

y = ln (x - 1) - ln (2) - 1

4 y = 36

f (x) = 2 x - 4 sin (x), 0 \leq x \leq 2 π

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

f (x) = - 3 x^{2} - x + 4

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