Let $\int _ { - 1 } ^ { 1 } f ( x ) d x = 4$

Multiple Choice

Let $\int _ { - 1 } ^ { 1 } f ( x ) d x = 4$ , and $\int _ { 1 } ^ { 4 } f ( x ) d x = 3,$ then $\int _ { - 1 } ^ { 1 } g ( x ) d x = - 6,$ is

A) 3
B) 6
C) 11
D) 15
E) 31