Find the value of f12 3 6 points Suppose f is a function who

Find the value of f^-1(2)

3. (6 points) Suppose f is a function whose graph is shown below. Find the value of f-1(2). No explanation necessary. You may assume that each square is 1 unit x 1 unit, that all of the pieces of the graph that look like straight lines are actually straight lines, and that points on the graph that appear to be very close to grid points actually land on those points I I I I I I I I I I I I I I I I I I I I I I I I

Solution

Given is a graph of a function.

Need to find  f^-1(2) from the graph.

For any function, the inverse of the function obtained by swapping of the x, y coordinates of a function.

Here in  f^-1(2), x=2.

So, we need to check the coordinate where y=2 in the graph.

The coordinate where y=2 is (4.5, 2)

Therefore, the coordinate in inverse function is (2, 4.5)(i.e.,swapping of the coordinates)

So, f^-1(2)=4.5