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) = - 16 x^{2} + 60 x + 2

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

f (x) = 6 x (1 - x)

2 y - x = 4

f (x) = 2 x + 34

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