To determine

a)To state: Why is gone-to-one.

Explanation

The graph of the function g is one-to-one because there is no horizontal line that intersects the graph more than once. (Horizontal line test)

g is one-to-one.

To determine

b) To find: The value ofg−1(2)

Explanation

We Know that g−1(y)=x⇒y=g(x)

From the below graph we observe that at x=0.25,g(0.25)=2

Therfore g−1(2)=0.25

Final statement: g−1(2)=0.25