Maths - Functions and Mappings
Pearson Edexcel Mathematics 2022
Flashcards
Domain, range and codomain
Mappings and types of function
What is a mapping?
A transformation from one set of numbers into a different set of numbers.
Other than a one-to-one function, what’s another type of mapping that is also a function?
A many-to-one function.
How could you write the range of a function that has to be greater than $0$?
\[f(x) \ge 0\]
Solving equations with inverse and composite functions
Instead of solving
\[f(x) = f^{-1}(x)\]
What can you solve instead?
\[f(x) = x \\\\
f^{-1}(x) = x\]
Instead of solving
\[fg(x) = 7\]
What can you solve instead?
\[g(x) = f^{-1}(x)\]