document.write( "Question 837943: Let f(x) = px + q, where p and q are real numbers. Find p+q if f(f(f(x))) = 8x + 21. \n" ); document.write( "
Algebra.Com's Answer #505280 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29=px%2Bq\"
\n" ); document.write( "\"f%28f%28x%29%29=p%28px%2Bq%29%2Bq=p%5E2x%2Bqp%2Bq\"
\n" ); document.write( "\"f%28f%28f%28x%29%29%29=p%5E2%28px%2Bq%29%2Bqp%2Bq\"
\n" ); document.write( "\"f%28f%28f%28x%29%29%29=p%5E3x%2Bp%5E2q%2Bpq%2Bq=8x%2B21\"
\n" ); document.write( "\"p%5E3=8\"
\n" ); document.write( "\"p=2\"
\n" ); document.write( "\"p%5E2q%2Bpq%2Bq=21\"
\n" ); document.write( "\"4q%2B2q%2Bq=21\"
\n" ); document.write( "\"7q=21\"
\n" ); document.write( "\"q=7\"
\n" ); document.write( "\"highlight%28p%2Bq=2%2B7=9%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );