Step-by-step explanation:
Since g(x) = 2f(x), we apply scalling parallel to the y-axis by a factor of 2 onto f(x).
For x + 6 if x < 2,
It becomes 2(x + 6) if x < 2.
We have 2x + 12 if x < 2.
For x² + 4x - 15 if 2 <= x <= 5,
It becomes 2(x² + 4x - 15) if 2 <= x <= 5.
We have 2x² + 8x - 30 if 2 <= x <= 5.
For 5 - x if 5 < x,
It becomes 2(5 - x) if 5 < x.
We have 10 - 2x is 5 < x.
The answer is the 1st option.
