Let d, f, and g be defined as follows. {0, 1} 4 {0, 1} 4 . d(x) is obtained from x by removing the second bit and placing it at the end. For example,...

Let d, f, and g be defined as follows.

• d: {0, 1}4 → {0, 1}4. d(x) is obtained from x by removing the second bit and placing it at the end. For example, f(1011) = 1110.
• f: {0, 1}4 → {0, 1}4. f(x) is obtained from x by replacing the last bit with 1. For example, f(1000) = 1001.
• g: {0, 1}4 → {0, 1}3. g(x) is obtained from x by removing the first bit. For example, g(1000) = 000.

(a)  What is the range of g ο f?

(b)  What is f ο d(1011)?