document.write( "Question 84465This question is from textbook algebra for college students
\n" ); document.write( ": I am trying to find the inverse of each function and express it in the form y=f inverse -1(x). And I need to verify each result by showing that (f composed of f)(x)=f inverse -1 composed pf f)(x)=I(x). The problem to be solved is:
\n" ); document.write( " x = 4y + 1\r
\n" ); document.write( "\n" ); document.write( "I get very confused with the composition process and get the functions mixed up. Could you please explain and show step my step process. Thank you. \n" ); document.write( "
Algebra.Com's Answer #60834 by venugopalramana(3286)\"\" \"About 
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I am trying to find the inverse of each function and express it in the form y=f inverse -1(x). And I need to verify each result by showing that (f composed of f)(x)=f inverse -1 composed pf f)(x)=I(x). The problem to be solved is:
\n" ); document.write( " x = 4y + 1
\n" ); document.write( "GENERALLY WE ARE GIVEN Y=F(X)=SOME FUNCTION OF X SAY Y=F(X)=4X+1...OR..SOME THING LIKE THAT THEN PROCEDURE IS
\n" ); document.write( "PUT
\n" ); document.write( "1.Y=4X+1
\n" ); document.write( "2.SOLVE FOR X
\n" ); document.write( "4X=Y-1
\n" ); document.write( "X=(Y-1)/4
\n" ); document.write( "3.NOW PUT X IN PLACE OF Y ON THE RIGHT SIDE AND THEN WE GET
\n" ); document.write( "F INVERSE X =(X-1)/4
\n" ); document.write( "TO CHECK
\n" ); document.write( "F OF [F INVERSE X] = X
\n" ); document.write( "TO SIMPLIFY UNDERSTANDING AND FOR EASE OF WORK
\n" ); document.write( "PUT F INVERSE X =Z= (X-1)/4
\n" ); document.write( "F[F INVERSE X]=F[Z]= 4Z+1 =[4(X-1)/4]+1 = (4X-4+4)/4 = 4X/4=X
\n" ); document.write( "TO CHECK
\n" ); document.write( "F INVERSE OF [F(X)]=X
\n" ); document.write( "F INVERSE OF[4X+1] .....
\n" ); document.write( "TO SIMPLIFY UNDERSTANDING AND FOR EASE OF WORK....
\n" ); document.write( "PUT Z=4X+1
\n" ); document.write( "F INVERSE OF[Z]=(Z-1)/4 =[4X+1-1]/4=4X/4=X
\n" ); document.write( "HOPE YOU UNDERSTOOD \r
\n" ); document.write( "\n" ); document.write( "BUT YOU GAVE
\n" ); document.write( "X=4Y+1..........LET US FIND F INVERSE Y IN THE SAME MANNER
\n" ); document.write( "4Y=X-1
\n" ); document.write( "Y=(X-1)/4
\n" ); document.write( "HENCE
\n" ); document.write( "F INVERSE Y = (Y-1)/4 \n" ); document.write( "
\n" );