Answer the following questions related to inverse functions.
a. (i) State the relationship between the domain and range of a function f and those of its inverse f−1, provided f is bijective.
b. (ii) Prove the relationship stated in (i) directly from the definition of an inverse function.
c. (iii) A bijective function f has domain (0,5] and range [−3,4). Determine the domain and the range of f−1. Justify your answer clearly.