document.write( "Question 612659: Question: Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4
\n" ); document.write( "What I've done so far:
\n" ); document.write( "(f o g)(x) = f(g(x)) (setting up the function)
\n" ); document.write( "f(x^2 - 4) (inputted g into the function)
\n" ); document.write( "x^2(x^2 - 4) - 1 (inputted f)
\n" ); document.write( "x^4 - 4x^2 - 1 (simplified)
\n" ); document.write( "I'm not sure if this is right and I'm not sure if I can simplify further by factoring or if this is even the end result. \n" ); document.write( "
Algebra.Com's Answer #385657 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4
\n" ); document.write( "What I've done so far:
\n" ); document.write( "(f o g)(x) = f(g(x)) (setting up the function)
\n" ); document.write( "f(x^2 - 4) (inputted g into the function)
\n" ); document.write( "----
\n" ); document.write( "Note: The \"x\" in f is now (x^2-4).
\n" ); document.write( "---
\n" ); document.write( "= (x^2-4)^2-1
\n" ); document.write( "------
\n" ); document.write( "= x^4-8x^2+16-1
\n" ); document.write( "---
\n" ); document.write( "= x^4-8x^2+15
\n" ); document.write( "===================
\n" ); document.write( "Note: You could factor that but that is not
\n" ); document.write( "what the question asks you to do.
\n" ); document.write( "===========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );