Question

Let f be defined as shown on the graph. When x < 0, which statement is true?The inverse of f exists. The inverse of f does not exist.

Answer 1

From the graph shown,

We have a value of y for every x when x < 0

Also, for the inverse of f, there is a value of x for every y when x < 0.

Since there is a value of x for every y, therefore, the inverse of f exists when x < 0