(Solved): 4) Two functions \( h \) and \( k \) are defined in the following two arrow diagrams, Suppose we wa ...

4) Two functions \( h \) and \( k \) are defined in the following two arrow diagrams, Suppose we wanted to find \( k(h(1)) \). We start with what is on the inside, \( h(1) \). \( h(1)=6 \), which means that \( k(h(1))=k(6) \). And, according to the diagram \( k(6)=5,50 k(h(1))=5 \). How to find this using the diagram is shown in red ink on the diagram. a) Evaluate \( k(h(8)) \). b) Explain why \( k(h(7)) \) is undefined. c) What is the domain of \( (k \circ h)(x) \) ? One way to think about this is which of the numbers "get you to the end." In other words, if we start with a number in the domain of \( h \), which ones have a path to the range of \( k \). We have already seen that 1 does since \( k(h(1))=k(6)=5 \) d) What is the range of \( (k \circ h)(x) \) ? In other words, which of the numbers in the range of \( k \) actually become outputs? We have already seen that 5 does since \( k(h(1))=5 \).