Answer
False
Work Step by Step
The statement is false.
The function $g$ is the inverse of the function $f$, and is denoted by $f^{-1}$. The domain of $f$ is equal to the range of $f^{-1}$ and vice versa.
This means that if the function $f$ is the set of ordered pairs $(x,y),$ then the inverse is the set of ordered pairs $(y, x)$.
Therefore, the inverse of $\{(1, 4), (2,7)\}$ is $|\{4, 1), (7, 2)\}$.
