You put the value for f(x) in each case, and calculate for x,
f(x) = -√(x+2)
When, f(x) = 0
Then, 0 = -√(x+2)
Multiply by -1, and square both sides,
0 = x+2
x = -1
When, f(x) = -1
-1 = -√(x+2)
Multiply by -1 and square both sides,
1 = x+2
x = -1
When f(x) = -2
-2 = -√(x+2)
Multiply by -1 and square both sides,
2 = x+2
x = 0
So, The basic steps would be:
Step 1) Multiply by -1, in order to eliminate the negative sign
Step 2) Squaring on both sides,
Step 3) Simplify by bringing similar terms together
Hope this helps!