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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{( 4 )}{( x - 2 ) ^{2}}

y + 1 = 6 (x - 3)

f (x) = - (x + 3)^{2} + 1

f (x) = 3 π^{5}

\frac{x ^{2} - 1}{2 x - 3}

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