Find all x for which f(x) = g(x)

Question

f(x) = 4 − x;

g(x) = ( 5 + x x < 0

(x ^2 + 2 x ≥ 0

Answer 1

4-x = 5+x

2x =-1

x =-1/2

and

4-x = x^2+2

x^2 +x -2 = 0

(x+2)(x-1)=0

x =1 (ignore the negative solution)

x= -1/2 and x=1 make f(x)=g(x)