108k views
2 votes
If f is a function, then , f -1 is always a function as well. True False

User Grreeenn
by
5.2k points

2 Answers

1 vote

Answer:

false

Explanation:

User Chris Truman
by
5.1k points
4 votes

Answer:

False

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.

User Ludmila
by
4.9k points