# SOLUTION: Question: Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4 What I've done so far: (f o g)(x) = f(g(x)) (setting up the function) f(x^2 - 4) (in

Algebra ->  Rational-functions -> SOLUTION: Question: Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4 What I've done so far: (f o g)(x) = f(g(x)) (setting up the function) f(x^2 - 4) (in      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rational-functions Question 612659: Question: Find the function composition of: f o g(x) given f(x) = x^2 - 1 and g(x) = x^2 - 4 What I've done so far: (f o g)(x) = f(g(x)) (setting up the function) f(x^2 - 4) (inputted g into the function) x^2(x^2 - 4) - 1 (inputted f) x^4 - 4x^2 - 1 (simplified) 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.Answer by stanbon(60778)   (Show Source): 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 What I've done so far: (f o g)(x) = f(g(x)) (setting up the function) f(x^2 - 4) (inputted g into the function) ---- Note: The "x" in f is now (x^2-4). --- = (x^2-4)^2-1 ------ = x^4-8x^2+16-1 --- = x^4-8x^2+15 =================== Note: You could factor that but that is not what the question asks you to do. =========================================== Cheers, Stan H.