document.write( "Question 1054336: For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25). \n" ); document.write( "
Algebra.Com's Answer #669548 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25).
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Apply the given equality \"f%28x%5E2%29+%2B+f%2830-x%29\" = \"6x-4\"\r\n" );
document.write( "\r\n" );
document.write( "to x = 5. You will get then\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "f(25) + f(30-5) = 6*5-4,   or\r\n" );
document.write( "\r\n" );
document.write( "f(25) + f(25) = 26,   or\r\n" );
document.write( "\r\n" );
document.write( "2*f(25) = 26,   which gives  f(25) = \"26%2F2\" = 13.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  f(25) = 13.\r\n" );
document.write( "

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