Question

Please help 20 points

Answer 1

Use the horizontal line test.

If any 2 points along the curve of F(x) touch a horizontal line, then the inverse is NOT a function.

This is because if 2 points share the same 'y' value in F(x), then they would share the same 'x' values in the inverse function.  This is not allowed for a function.

For the given curve, it passes the horizontal line test. Therefore the inverse IS a function.