If the function defined by the following is one-to-one, find its inverse. \( \{(-2,7),(1,5),(4,9)\} \) Select the correct choice below, and fill in the answer box if necessary. A. The inverse function is \( \{\square \). (Type ordered pairs. Use a comma to separate answers as needed.) B. The function is not one-to-one.

To determine if the function is one-to-one, we need to check if each output value corresponds to exactly one input value. The given function is: \[ \{(-2,7),(1,5),(4,9)\} \] In this set, the output values are 7, 5, and 9. Since all output values are unique, the function is indeed one-to-one. Now, to find the inverse of the function, we need to swap the input and output values in each ordered pair. The inverse function will be: \[ \{(7,-2),(5,1),(9,4)\} \] Thus, the correct choice is: A. The inverse function is \( \{(7,-2),(5,1),(9,4)\} \).