5. GRAPH THE INVERSE FUNCTION ON THE SAME COORDINATE PLANE AS THE ORIGINAL FUNCTION. WHAT DID YOU NOTICE? 6. FIND F(F-1(X)). 7. FIND F-1 (F(X)). 8. WHAT DID YOU NOTICE? DEFINITION: THE INVERSE OF A FUNCTION IS THE RELATION FORMED WHEN THE VARIABLE IS EXCHANGED WITH THE VARIABLE IN A GIVEN RELATION. IMPORTANT FACT: IF THE INVERSE OF A FUNCTION F(X) IS ALSO A FUNCTION, THEN IT IS DENOTED BY VISUAL: HERE WE HAVE THE FUNCTION F(X)=2X+3 SHOWNBY A FLOW DIAGRAM: X 2X 2X+3 MULTIPLY BY 2 ADD 3 THE INVERSE FUNCTION. OR F-1(X), GOES THE OPPOSITE DIRECTION: Y-3 2 DIVIDE BY 2 Y-3 SUBTRACT 3 SO THE INVERSE OF 2X+3 IS (Y-3) 2