document.write( "Question 1201427: Composition of function:
\n" ); document.write( "composition of function is the nesting of one function into another function as an input of that function.
\n" ); document.write( "Let f(x) be the first function and g(x) be the second function So.
\n" ); document.write( "f(x)=x+8 and
\n" ); document.write( "g(x)=5x-3
\n" ); document.write( "nesting of g(x) into f(x) is
\n" ); document.write( "f(g(x))=?
\n" ); document.write( "it means the value of x for f(x) is equal to g(x).
\n" ); document.write( "f(g(x))=(5x-3)+8 \n" ); document.write( "

Algebra.Com's Answer #835796 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Your logic, your reasoning and your writing are absolutely correct.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You even can go one step further and conclude then that  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    f(g(x)) = (5x-3)+8 = 5x+5 = 5*(x+1).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can accept any of these equivalent forms as your final answer.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With only one notice from my side.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    When you consider the composition f(g(x)), it is more logical to call \r\n" );
document.write( "    g(x) as a first function, and call f(x) as a second function.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    It is not a tragic mistake to call them in different way, \r\n" );
document.write( "    but then you can easily confuse yourself and people around.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    But if you do not afraid to confuse yourself and people around,\r\n" );
document.write( "    then you can call them in either way.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );