Final answer:
The symbolic form of the new function, F(x), when f(x) = x³ - 2x² + 7, is F(x)³ - 2F(x)² + 7 = 0.
Step-by-step explanation:
A symbolic form of a function refers to expressing the function using mathematical symbols and notation. A function is typically represented by a rule that assigns each input (independent variable) to a unique output (dependent variable).
The symbolic form of the new function, F(x), when f(x) = x³ - 2x² + 7, can be obtained by replacing x with F(x) in the original function. So, we have F(x)³ - 2F(x)² + 7 = 0. This is the symbolic form of the new function.