Question

Find F-1(x)
F(x) =(x+2)2-5, x≥-2

Answer 1

I will assume you meant to type

f(x) = (x+2)^2 - 5 or y = (x+2)^2 - 5

inverse: x = (y+2)^2 - 5
solving this for y:

(y+2)^2 = x+5
y+2 = √(x+5)

y = -2 ± √(x+5)

f^-1 (x) = -2 + √(x+5) or -2 - √(x+5)

notice the inverse is not a function