Question

Is it easy to evaluate inverse of one to one function?​

Answer 1

Answer:

Horizontal Line Test

Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. ... Definition: A function f is one-to-one if and only if f has an inverse. The following definition is equivalent, and it is the one most commonly given for one-to-one.

Answer 2

Suppose we want to find the inverse of a function represented in table form. Remember that the domain of a function is the range of the inverse and the range of the function is the domain of the inverse. So we need to interchange the domain and range.

Each row (or column) of inputs becomes the row (or column) of outputs for the inverse function. Similarly, each row (or column) of outputs becomes the row (or column) of inputs for the inverse function.