F(x)=|2x|+4 Option A:G(x)=x+3 If x>0 or x=0 2x+4=x+3 x=−1<0 Therefore, this case is not possible. If x<0 −2x+4=x+3 3x=1 x=1∕3>0 Therefore, this case is not possible. Option B : G(x)=2x−2 If x>0 or x=0 2x+4=2x−2 This case is not possible. If x<0 −2x+4=2x−2 x=1.5>0 This case is not possible. Option C: G(x)=2x+3 If x>0 or x=0 2x+4=2x+3 This case is not possible. If x<0 −2x+4=2x+3 x=0.25>0 This case is not possible. Option D: G(x)=3x−2 If x>0 or x=0 2x+4=3x−2 x=6 This case is possible. Therefore, the answer is option D. 3. D