7. Define the following functions f, g, and h: .f: {0, 1)3-(0, 1)3. The output of f is obtained by taking the input string and replacing the first bit by 1, regardless of whether the first bit is a 0 or 1. For example, f(001) = 101 and f(110) = 110. "g: {0, 1)3-{0, 1}3. The output of g is obtained by taking the input string and reversing the bits. For example, g(011) = 110. .h: {0, 1)3-{0, 1)3. The output of h is obtained by taking the input string x, and replacing the last bit with a copy of the first bit. For example, h(011) = 010. (a) What is go f(010)? (b) What is go h(010)? (c) What is ho f(010)? (d) What is the range of h of? (e) What is the range of g of