Final answer:
Unable to provide an expression for f(x) as there is insufficient context and information relating f(x) to h(x). Additional details from the student would be needed to give a direct answer.
Step-by-step explanation:
The student's question does not provide enough context to formulate an expression for f(x) based solely on the given function h(x). The function h(x) = -(x-1)2 -1 is a standard downward-opening parabola shifted right by 1 unit and down by 1 unit from the vertex of a parent function y = -x2. However, without additional information regarding how f(x) is related to h(x), or additional descriptions about f(x), it is impossible to determine an explicit expression for f(x) based on h(x).
Generally speaking, when faced with such a problem, we would look for a direct relationship, such as an algebraic transformation or composition of functions, but this information is not provided in the student's question. In this specific case, reaching out for clarification is necessary to proceed with formulating an expression for f(x).