document.write( "Question 955562: Let h(x)= (g o f)(x)= x^2 / x^2 + 1\r
\n" );
document.write( "\n" );
document.write( "Which of the following could be a possible decomposition of h(x)?
\n" );
document.write( "a. f(x)= x; g(x)= x / x + 1
\n" );
document.write( "b. f(x)= x + 1; g(x)= 1 / x^2
\n" );
document.write( "c. f(x)= x^2; g(x)= x / x + 1
\n" );
document.write( "d. f(x)= x + 1; g(x)= x^2 \n" );
document.write( "
Algebra.Com's Answer #583754 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let h(x)= (g o f)(x)= x^2 / (x^2 + 1) \n" ); document.write( "Which of the following could be a possible decomposition of h(x)? \n" ); document.write( "------ \n" ); document.write( "h(x) involves: \n" ); document.write( "1st squaring \n" ); document.write( "2nd forming quotient of input + 1 \n" ); document.write( "---- \n" ); document.write( "h(x) = g(f(x)) = g(x^2) = x^2/(x^2+1) \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------\r \n" ); document.write( "\n" ); document.write( " a. f(x)= x; g(x)= x / x + 1 \n" ); document.write( " b. f(x)= x + 1; g(x)= 1 / x^2 \n" ); document.write( " c. f(x)= x^2; g(x)= x / x + 1 \n" ); document.write( " d. f(x)= x + 1; g(x)= x^2 \n" ); document.write( " |