document.write( "Question 226513: 4. Use the following to answer questions a-d:\r
\n" ); document.write( "\n" ); document.write( "f(x) = x2 + x and g(x) = x – 5\r
\n" ); document.write( "\n" ); document.write( "a. Find h(x) = (f ◦ g)(x).
\n" ); document.write( "b. State the domain of h(x) = (f ◦ g)(x).
\n" ); document.write( "c. Find h(x) = (g ◦ f)(x).
\n" ); document.write( "d. State the domain of h(x) = (g ◦ f)(x).
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #168645 by user_dude2008(1862)\"\" \"About 
You can put this solution on YOUR website!
a) h(x) = (f ◦ g)(x) = f(g(x)) = f(x-5) = (x-5)^2+(x-5) = (x-5)((x-5)+1) = (x-5)(x-4) = x^2 - 9x + 20\r
\n" ); document.write( "\n" ); document.write( "Answer: x^2 - 9x + 20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b) Domain: all real numbers\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c) h(x) = (g ◦ f)(x) = g(f(x)) = g(x^2+x)= x^2+x-5\r
\n" ); document.write( "\n" ); document.write( "Answer: x^2+x-5\r
\n" ); document.write( "\n" ); document.write( "d) Domain: all real numbers
\n" ); document.write( "
\n" );