If f is a function, then, f - 1 is always a function as well. True False

False

Step-by-step explanation:

A function to be a function must cross the vertical line test. You can draw a line through the function and only intersect the function once. Inverses have a similar test. If you can draw a horizontal line through the original function and only intersect once, then the inverse will be a function. These functions are known as one-to-one since no input or output has multiple values it maps to. Not all functions have inverses which are functions. A parabola is a function but its inverse is not a function except when defined on a specific interval. This is why square root functions have limited domains. The statement is not true.