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PLEASE FIND BELOW EXPLANATION ON FUNCTION,RELATION AND FUNCTION OF A FUNCTION..FROM GENERAL ENGLISH AND MATHHEMATICALLY SPEAKING.
\n" ); document.write( "NOW COMING TO F O G IN ENGLISH.LET ME TRY..
\n" ); document.write( "FISTLY IT IS READ AS F OF G , WHERE F AND G ARE SYMBOLS FOR DIFFERENT FUNCTIONS.
\n" ); document.write( "NOW WHAT IS A FUNCTION?IT IS SOME THING LIKE A RELATION-BUT A LITTLE
\n" ); document.write( "MORE DEMANDING THAN THAT.LET US SEE.. SUPPOSE THE FUNCTION F OF MEANS
\n" ); document.write( "FATHER OF....SAY JOHN IS FATHER OF EMMA..THEN F OF E MEANING F OF
\n" ); document.write( "EMMA OR FATHER OF EMMA IN FULL....IS A FUNCTION BECAUSE BESIDES BEING
\n" ); document.write( "A RELATION IT GIVES US A UNIQUE ANSWER. NAMELY JOHN AND JOHN ONLY
\n" ); document.write( "...BUT JOHN'S DAUGHTER IS EMMA IS A RELATION ,AND NOT A FUNCTION
\n" ); document.write( "BECAUSE THE ANSWER IS NOT UNIQUE...THERE MAY BE ANOTHER TANYA DAUGHTER
\n" ); document.write( "OF JOHN...SO WE MAY GET MORE THAN ONE ANSWER.THEN IT IS A RELATION BUT
\n" ); document.write( "NOT FUNCTION.GOT IT.WE GENERALLY USE SYMBOLS,F,G ETC..TO DENOTE
\n" ); document.write( "FUNCTIONS.IN THE SAME PROBLEM IF WE HAVE TO DEAL WITH MORE THAN 1
\n" ); document.write( "FUNCTION AS IS IN THIS PROBLEM,WE USE F & G TO DENOTE 2 DIFFERENT
\n" ); document.write( "FUNCTIONS.F MAY BE FATHER OF AND G MAY BE MOTHER OF ...ETC...
\n" ); document.write( "NEXT WHAT IS F OF G ..SAME MEANING ..IT MEANS FATHER OF MOTHER OF SOME
\n" ); document.write( "BODY SPECIFIED IN THE PROBLEM SAY MARIE...SO IT MEANS FATHER OF MOTHER
\n" ); document.write( "OF MARIE.THAT IS ALL TO IT.
\n" ); document.write( "LET US GET ON TO OUR PROBLEM NOW AND GO STEP BY STEP.
\n" ); document.write( "F(X)=2X-3.....AND G(X)=-X+3.....HERE X IS CALLED INDEPENDENT VARIABLE
\n" ); document.write( ".IT CAN TAKE ANY VALUE (LEGALLY PERMITTED..WE SKIP THIS ASPECT FOR THE
\n" ); document.write( "PRESENT)..SUPPOSE X=1..THEN F(X) IS CALLED DEPENDENT VARIABLE SINCE
\n" ); document.write( "ITS VALUE DEPENDS ON VALUE OF X.IF X=1,THEN F(1)=2*1-3=2-3=-1...THAT
\n" ); document.write( "IS WE JUST PUT THAT VALUE OF X (1 AS WE TOOK )IN PLACE OF X WHEREVER
\n" ); document.write( "IT OCCURS IN THE FUNCTION..
\n" ); document.write( "SO F(1)=-1...SIMILARLY...F(0)=2*0-3=-3...ETC
\n" ); document.write( "SAME THING APPLIES TO G(X) OR F OF G OF X ..IN SEQUENCING THE ORDER OF
\n" ); document.write( "OPERATIONS ,FOR CONVENIENCE ,WE COME FROM INSIDE TO OUT SIDE..LIKE AS
\n" ); document.write( "WE DO IN ENGLISH EXAMPLE MENTIONED ABOVE...FATHER OF MOTHER OF
\n" ); document.write( "MARIE..WE FIRST FIND MOTHER OF MARIE AND THEN HER FATHER.SAME WAY TO
\n" ); document.write( "FIND
\n" ); document.write( "F OF G(2)..LET US FIND G(2) FIRST..G(X)=-X+3
\n" ); document.write( "G(2)=-2+3=1...HENCE NOW WE HAVE TO FIND
\n" ); document.write( "F(1)=2*1-3=-1
\n" ); document.write( "WELL THAT IS THE END OF IT.HOPE IT IS CLEAR. \n" ); document.write( "